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3 years ago

15 points. Correct answer and you get brainliest answer, 5 stars, and a thanks!!

Mathematics

2 answers:

11111nata11111 [884]3 years ago

8 0

Question 1) B

Question 2) A

Hope this helps

Mila [183]3 years ago

5 0

The second answer is 60 ..

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Planes S and R both intersect plane T .

neonofarm [45]

<h2>[A] Plane S contains points B and E.</h2>

False

As indicated in Figure A below, Plane S contains only point B (remarked in red). Point E (remarked in blue) lies on plane R.

<h2>[B] The line containing points A and B lies entirely in plane T.</h2>

True

As indicated in Figure B below, the line containing points A and B lies entirely in plane T. That line has been remarked in red and it is obvious that lies on plane T.

<h2>[C] Line v intersects lines x and y at the same point.</h2>

False

As indicated in Figure C below, line v intersects lines x and y, but line x in intersected at point B while line y (remarked in red) is intersected at point A (remarked in blue), and they are two different points, not the same.

<h2>[D] Line z intersects plane S at point C.</h2>

True

As indicated in Figure D below, line z that has been remarked in yellow, intersects plane S at point C that has been remarked in blue.

<h2>[E] Planes R and T intersect at line y.</h2>

True

As indicated in Figure E below, planes R and T intersect at line y. The line of intersection has been remarked in red.

7 0

3 years ago

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Lana has a collection of 92 stickers that she wants to put into an album. Each page holds 6 stickers. How many pages will she ne

Margarita [4]

All you have to do is divide 92 by 6 and you get your answer. The remainder is the spaces she'll have left

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3 years ago

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Suppose a certain population satisfies the logistic equation given by dP

Ksenya-84 [330]

Answer:

The population when t = 3 is 10.

Step-by-step explanation:

Suppose a certain population satisfies the logistic equation given by

$\frac{dP}{dt}=10P-P^2$

with P(0)=1. We need to find the population when t=3.

Using variable separable method we get

$\frac{dP}{10P-P^2}=dt$

Integrate both sides.

$\int \frac{dP}{10P-P^2}=\int dt$ .... (1)

Using partial fraction

$\frac{1}{P(10-P)}=\frac{A}{P}+\frac{B}{(10-P)}$

$A=\frac{1}{10},B=\frac{1}{10}$

Using these values the equation (1) can be written as

$\int (\frac{1}{10P}+\frac{1}{10(10-P)})dP=\int dt$

$\int \frac{dP}{10P}+\int \frac{dP}{10(10-P)}=\int dt$

On simplification we get

$\frac{1}{10}\ln P-\frac{1}{10}\ln (10-P)=t+C$

$\frac{1}{10}(\ln \frac{P}{10-P})=t+C$

We have P(0)=1

Substitute t=0 and P=1 in above equation.

$\frac{1}{10}(\ln \frac{1}{10-1})=0+C$

$\frac{1}{10}(\ln \frac{1}{9})=C$

The required equation is

$\frac{1}{10}(\ln \frac{P}{10-P})=t+\frac{1}{10}(\ln \frac{1}{9})$

Multiply both sides by 10.

$\ln \frac{P}{10-P}=10t+\ln \frac{1}{9}$

$e^{\ln \frac{P}{10-P}}=e^{10t+\ln \frac{1}{9}}$

$\frac{P}{10-P}=\frac{1}{9}e^{10t}$

Reciprocal it

$\dfrac{10-P}{P}=9e^{-10t}$

$P(t)=\dfrac{10}{1+9e^{-10t}}$

The population when t = 3 is

$P(3)=\dfrac{10}{1+9e^{-10\cdot 3}}$

Using calculator,

$P=9.999\approx 10$

Therefore, the population when t = 3 is 10.

8 0

3 years ago

Toben bought 5 1/2 pounds of chicken, which cost $3.50 per pound. What was the total cost of the chicken?

schepotkina [342]

The chicken cost $1.57 per pound.

You figure this out by dividing the total amount of chicken 5.5lbs (5 1/2) by the cost per pound.

5.5 / 3.50 = 1.57

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3 years ago

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Math need help. K12 I don’t understand. Book and lesson no help

REY [17]

Answer:

Figure 3

Figure 1

Step-by-step explanation:

Figure 1 is the pre-image

The side length is 2. We multiply the side length by the scale factor.

2 * 4 = 8

The new figure will have a side length of 8. That will be Figure 3

Figure 2 is the pre-image

The side length is 4. We multiply the side length by the scale factor.

4 * 1/2 = 2

The new figure will have a side length of 2. That will be Figure 1

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3 years ago

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