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Natasha2012 [34]

4 years ago

10

Plant A is 25 ft tall and plant B is 20 ft tall. Plant A grows 2 ft per week and Plant B grows 2 ft perweek. In how many weeks w

ill the heights of the two plants become equal?

1 answer:

NARA [144]4 years ago

3 0

Answer:

It would be 4 weeks hope that

Step-by-step explanation:

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Find the line integral with respect to arc length ∫C(8x+5y)ds, where C is the line segment in the xy-plane with endpoints P=(7,0

puteri [66]

a. Parameterize $C$ by

$\vec r(t)=(1-t)(7,0)+t(0,5)=(7-7t,5t)$

with $0\le t\le1$

b. The integral is to be computed over the range of the parameter $t$ .

c. The integral has a value of

$\displaystyle\int_C(8x+5y)\,\mathrm dS=\int_0^1(8x(t)+5y(t))\|\vec r(t)\|\,\mathrm dt$

$\displaystyle=\int_0^1(8(7-7t)+5(5t))\|(-7,5)\|\,\mathrm dt$

$\displaystyle=\sqrt{74}\int_0^1(56-31t)\,\mathrm dt=\boxed{81\sqrt{\dfrac{37}2}}$

4 0

3 years ago

An aircraft seam requires 22 rivets. The seam will have to be reworked if any of these rivets is defective. Suppose rivets are d

SpyIntel [72]

Answer:

Part A:

$p=0.0095$

Part B:

$p=0.0043$

Step-by-step explanation:

Part A:

The number of rivets=22 rivets

Probability that no rivet is defective= (1-p)^22

The probability that at least one rivet is defective=1-(1-p)^22

For 19% of all seams need reworking, probability that a rivet is defective is given by:

$1-(1-p)^{22}=0.19$

$(1-p)^{22}=0.81\\p=1-\sqrt[22]{0.81} \\p=0.0095$

Part B:

For 9% of all seams need reworking, probability of a defective rivet is:

$1-(1-p)^{22}=0.09\\p=1-\sqrt[22]{0.91} \\p=0.0043$

5 0

3 years ago

You are constructing a metal border of uniform width for a rectangular wall mirror that measures 20 inches by 24 inches. You hav

kirill115 [55]

Answer:

The frame will be 4 inches in width

Step-by-step explanation:

The length of the outside is 24+2x

The width of the outside is 20+2x

(24+2x)(20+2x) - 20(24) = 416

480 + 40x + 48x + 4x2 - 480 = 416

4x2 + 88x - 416 = 0

x2 + 22x - 104 = 0

(x+26)(x-4) = 0

x = -26 or x=4

The frame will be 4 inches in width

6 0

2 years ago

A parallelogram has an area of 216in2 the base of the parallelogram is 27 inches.what is the height of the parallelogram?

taurus [48]

Answer: 8

Because you do 216 divided by 27 to get the missing number

4 0

3 years ago

Charlotte divided a whole pizza into 4 pieces. one piece formed a straight angle. one formed a right angle. two pieces formed ac

Minchanka [31]

You have to draw a pie graph.

The first piece (with the straight angle) cuts the pie in half.

The second piece cuts the remaining half in halves (making a quarter).

The third and fourth pieces are the same as each other. So they must each have an angle of 45 degrees. Each of these is an eighth of the total pie.

Should be fairly easy. Good luck!

7 0

3 years ago