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2 years ago

Click on the value for p that makes this inequality true. Pls I need this

Mathematics

2 answers:

weqwewe [10]2 years ago

5 0

p = unknown number

p ≥ -12 ["p" is any number greater than or equal to -12]

The only value that can make this true is 0, because all the other numbers are less than -12.

0 ≥ -12 [0 is greater than or equal to -12]

Natalija [7]2 years ago

4 0

The answer is 0, because the higher the negative number gets, the lesser value it has.

Hope this helps!

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A farmer grows a particular plant that has a gene that can be manipulated to control the age t at which the plant matures. The n

Kruka [31]

Answer:

The correct option is;

Between 40 and 50 days

Step-by-step explanation:

The number of seeds that are produced by a plant maturing at age t, S(t), is given as follows;

S(t) = -0.3·t² + 30·t + 0.2

The proportion of plants maturing at age (t) in the plants to be engineered by the geneticist P(t) = 90000/(t + 100)

The number of seeds produced by the plants = S(t) × P(t) = (-0.3·t² + 30·t + 0.2)×(90000/(t + 100))

To find the maximum number of seeds, we differentiate using an online tool, and equate to zero to get;

d((-0.3·t² + 30·t + 0.2)×(90000/(t + 100)))/dt = (-27000·t² - 5400000·t + 269982000)/(t + 100)² = 0

(-27000·t² - 5400000·t + 269982000)/(t + 100)² = 27000(t - 41.419)(t + 241.419)/(t + 100)² = 0

t = 41.419 or t = -241.419

Therefore, in order to maximize the production of seed of the crops of the farmer, the geneticist should select between 40 and 50 days.

3 0

2 years ago

Find the product: (5x + 5y) (x + 4y)

Taya2010 [7]

Answer:

Step-by-step explanation:

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3 years ago

What is an equation of the line that passes through the point (3,-1) and is perpendicular to the equation y=-3x+2

Alex17521 [72]

If it is perpendicular then the slope of it will be:

$-3 \times x = -1\\\\x = \frac{1}{3}$

y = 1/3 x + b

-1 = (1/3)(3) + b

-1 = 1 + b

b = -2

The equation is:

$y = \frac{1}{3}x - 2$

8 0

2 years ago

S KM ∥ JN? Why or why not?

bixtya [17]

Given: We have the given figure through which we can see

LK=16,

KJ=10,

LM=24,

MN=15

To Find: Whether KM || JN and the reasoning behind it.

Solution: Yes, KM || JN because $\frac{16}{10}= \frac{24}{15}$

Explanation:

For this solution, we use the concept of Similar Triangles.

Now, KM || JN if ΔLKM ~ ΔLJN (i.e., if ΔLKM is similar to ΔLJN).

Now, ∠MLK=∠NLJ

To prove similarity of the two triangles, we have to show that the sides are proportional. In other words, LK:KJ = LM:LN

$LK:KJ=LM:LN\\\\ \frac{LK}{KJ} =\frac{LM}{LN}\\\\\frac{16}{26}= \frac{24}{39}\\\\$

which is true as both sides simplify to $\frac{8}{13}$

Thus, we see that ΔLKM ~ ΔLJN (i.e., if ΔLKM is similar to ΔLJN).

Therefore, KM || JN.

To come to the reasoning, notice that

$\frac{LK}{LJ} =\frac{LM}{LN}\\\\\frac{LK}{LK+KJ} =\frac{LM}{LM+MN}\\\\\frac{LK+KJ}{LK} =\frac{LM+MN}{LM}\\\\1+\frac{KJ}{LK}=1+ \frac{MN}{LM}\\\\\frac{LK}{KJ} =\frac{LM}{MN}$

In other words, $\frac{16}{10}= \frac{24}{15}$

4 0

2 years ago

Read 2 more answers

After 3 hours, Ernie had travelled 195 miles. If he travels at a constant speed, how far will he have

Umnica [9.8K]

Answer:

x = 325 miles

Step-by-step explanation:

$\frac{195}{3} = \frac{x}{5} \\ 3.x = 5.195 \\ 3x = 975 \\ x = \frac{975}{3} \\ x = 325 \: miles$

7 0

2 years ago