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otez555 [7]
3 years ago
13

Here it is the final quetion

Mathematics
1 answer:
OleMash [197]3 years ago
4 0

Answer:

1. 4x - 1

2. -2x - 5

3. 20

Step-by-step explanation:

There was a glitch with brainly, so I added the explanation in screenshots.

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Express the number in decimal notation. 5.2 �� 104 a. 5200 b. 208 c. 520,000 d. 52,000
MakcuM [25]
5.2×10^4=5.2×10000=52×1000=52000
4 0
3 years ago
Which of the following statements about a plane is not true?
DedPeter [7]

We have to identify the statement about the plane which is not true.

1. Consider the first statement,

" A plane can be thought of as flat". It is true as plane is a flat surface.

2. Consider the second statement,

"The surface of a plane is made up of points". It is true as plane is a flat surface which is made up of points.

3. Consider the third statement,

"A plane can be seen". It is not true as plane is a flat surface which can not be seen.

4. Consider the fourth statement,

"A plane extends infinitely in all directions". It is true as plane is a flat surface that extends infinitely along its edges.

3 0
3 years ago
Read 2 more answers
The populations of termites and spiders in a certain house are growing exponentially. The house contains 120 termites the day yo
zysi [14]

Answer:

in order to triple the inicial population of spiders, will take 50395 days

Step-by-step explanation:

we can define the termite population function as T(t) and the one for spiders as S(t) , where t represents time measured in days

since both have and exponencial growth

T(t)= a*e^(b*t)

S(t)= c*e^(d*t)

1) when the day the person moves in , t=0 and T(0)= 120 termites

T(0) = a*e^(b*0) = a = 120

2) after 4 days , t=4 and  the house contains T(4) = 210 termites

T(4)= 120*e^(b*4) = 210 → 4*b = ln (210/120) → b = (1/4)* ln(210/120)= 0.14

therefore

T(t) = 120*e^(0.14*t)

3) 3 days after moving in , t=3, there were T(3) = 120*e^(0.14*3)=182.63≈ 182 termites . The number of spiders is half of the number of termites → S(3) = T(3) * 1 spider/ 2 termites  =91.31 spiders ≈ 91 spiders

4) after 8 days of moving in , t=8, there were T(8) = 120*e^(0.14*8)=367.78≈ 368 termites . The number of spiders is 0.25 times the number of termites → S(8) = T(8) * 1 spider/ 4 termites =91.94 spiders   ≈ 92 spiders

from

S(t)= c*e^(d*t) → d = ln [S (tb)/S (ta) ] / (tb-ta)

therefore d = ln [ S(8)/S(3) ] / (8 - 3 ) = 2.18*10^-5

in order to triple the initial population

S(t3) = 3 *S(0) = 3*[c*e^(d*0)] = 3*c

S(t3) = c*e^(d*t3) = 3* c → t3 = ln(3) / d = 50395 days

5 0
3 years ago
A supplier delivers an order for 20 electric toothbrushes to a store. By accident, three of the electric toothbrushes are defect
krek1111 [17]

Answer:

The probability that the first two electric toothbrushes sold are defective is 0.016.

Step-by-step explanation:

The probability of an event, say <em>E </em>occurring is:

P (E)=\frac{n(E)}{N}

Here,

n (E) = favorable outcomes

N = total number of outcomes

Let <em>X</em> = number of defective electric toothbrushes sold.

The number of electric toothbrushes that were delivered to a store is, <em>n</em> = 20.

Number of defective electric toothbrushes is, <em>x</em> = 3.

The number of ways to select two toothbrushes to sell from the 20 toothbrushes is:

{20\choose 2}=\frac{20!}{2!(20-2)!}=\frac{20!}{2!\times 18!}=\frac{20\times 19\times 18!}{2!\times 18!}=190

The number of ways to select two defective toothbrushes to sell from the 3 defective toothbrushes is:

{3\choose 2}=\frac{3!}{2!(3-2)!}=\frac{3!}{2!\times 1!}=3

Compute the probability that the first two electric toothbrushes sold are defective as follows:

P (Selling 2 defective toothbrushes) = Favorable outcomes ÷ Total no. of outcomes

                                                            =\frac{3}{190}\\

                                                            =0.01579\\\approx0.016

Thus, the probability that the first two electric toothbrushes sold are defective is 0.016.

8 0
3 years ago
Company A manufactures and sells gidgets. The owners have determined that the company has the monthly revenue and cost functions
jasenka [17]

Answer:

Option A.  356 gidgets

Step-by-step explanation:

we have

R(x) ----> the monthly revenue function

C(x) ---> the monthly cost function

x ----> the number of gidgets sold

R(x)=16x

C(x)=12x+1,424

we know that

Break-even means that the revenue equals cost

so

16x=12x+1,424

solve for x

16x-12x=1,424

4x=1,424

x=356\ gidgets

3 0
3 years ago
Read 2 more answers
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