Select the correct answer.
A population of pea aphids doubles every week. The population begins with 300 individual pea aphids. In how many weeks will the population
reach 9,600 individuals?
ОА.
3 weeks
B.
32 weeks
Ос.
5 weeks
D.
16 weeks
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1).  c

2).  a

3).  a **

4).  d

5).  a

6).  c

** Question #3 has a typo (a typographical error, a misprint, an error, a mistake, a blunder, an oops, an owee) on the question sheet.  The first number of the sequence should be 10,000 instead of 1000 .

1. If a sequence has a common ratio, it is called: C. Geometric Sequence

2. The sequence that does not have a common ratio of -2 is: A. -32, 16, -8, 4

3. The common ratio of 10,000, 1,000, 100, 10, 1 is: [tex]\mathbf{A. \frac{1}{10}}[/tex]

4. The sequences that are arithmetic sequence are:

D. I and IV.

5. The sequence that does not belong to the group is: A. 5, -10, 20, -40.

6. The next term of the geometric sequence is: C. [tex]\frac{1}{729}[/tex]

Recall:

1. Therefore, if a sequence has a common ratio, it is called: C. Geometric Sequence

2. Common ratio = next term / previous term

The sequence, -32, 16, -8, 4 has the following common ratio which is not -2:

[tex]\frac{4}{-8} = \frac{-8}{16} = \frac{16}{-32} = -\frac{1}{2}[/tex]

The common ratio is: [tex]-\frac{1}{2}[/tex]

Therefore, the sequence that does not have a common ratio of -2 is: A. -32, 16, -8, 4

3. Find the common ratio of: 10,000, 1,000, 100, 10, 1

Common ratio = next term / previous term

Thus:

Common ratio = [tex]\frac{1}{10} = \frac{10}{100} = \frac{100}{1,000} = \frac{1,000}{10,000} = \frac{1}{10}[/tex]

Therefore, the common ratio of 10,000, 1,000, 100, 10, 1 is: [tex]\mathbf{A. \frac{1}{10}}[/tex]

4. An arithmetic sequence is an ordered list whereby the next term is gotten by adding a constant to the previous term.

Simply put, the ordered list of numbers has a difference between each terms.

To find the common difference, subtract the previous term from the next term.

Thus:

-5, 0, 5, 10, 15 would have the following common difference:

0 - (-5) = 5

5 - 0 = 5

10 - 5 = 5

15 - 10 = 5

Also:

4, 1, -2, -5, -8 would have the following common difference:

1 - 4 = -3

-2 - 1 = -3

-5 -(-2) = -3

-8 -(-5) = -3

Therefore, the sequences that are arithmetic sequence are:

D. I and IV.

5. The sequence, 5, -10, 20, -40, is a geometric sequence, that is it has a common ratio as shown below:

Common ratio = [tex]\frac{-40}{20} = \frac{20}{-10} = \frac{-10}{5} = -2[/tex]

The rest of the sequence in the answer choices have a common difference and are arithmetic sequences except 5, -10, 20, -40.

Therefore, the sequence that does not belong to the group is: A. 5, -10, 20, -40.

6. To find the next term in the geometric sequence, [tex]\frac{1}{9}, \frac{1}{27}, \frac{1}{81}, \frac{1}{243}[/tex], find the common ratio.

Then multiply it by the last term to get the next term in the sequence.

Common ratio = Next term / previous term

[tex]= \frac{1}{27} \div \frac{1}{9} \\\\= \frac{1}{27} \times \frac{9}{1} \\\\= \frac{1 \times 9}{27 \times 1}\\\\= \frac{9}{27} \\\\= \frac{1}{3}[/tex]

Multiply [tex]\frac{1}{3}[/tex] by [tex]\frac{1}{243}[/tex] to get the next term:

[tex]\frac{1}{243} \times \frac{1}{3} = \frac{1 \times 1}{243 \times 3} \\\\= \frac{1}{729}[/tex]

Therefore, the next term of the geometric sequence is: C. [tex]\frac{1}{729}[/tex]

In summary,

1. If a sequence has a common ratio, it is called: C. Geometric Sequence

2. The sequence that does not have a common ratio of -2 is: A. -32, 16, -8, 4

3. The common ratio of 10,000, 1,000, 100, 10, 1 is: [tex]\mathbf{A. \frac{1}{10}}[/tex]

4. The sequences that are arithmetic sequence are:

D. I and IV.

5. The sequence that does not belong to the group is: A. 5, -10, 20, -40.

6. The next term of the geometric sequence is: C. [tex]\frac{1}{729}[/tex]

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Answer:

Equation: [tex] y = 14x [/tex].

It would take Martina 37 hours to earn $518

Step-by-step explanation:

✍️An equation that shows a proportional relationship between the time she spends babysitting (x) and amount of money she earns for babysitting (y) can be represented as [tex] y = kx [/tex], where k = constant of proportionality.

Let's find k using any of the pairs given in the table of values. Let's use (1, 14).

Substitute x = 1, and y = 14 into [tex] y = kx [/tex], and find k.

[tex] 14 = k(1) [/tex]

[tex] 14 = k [/tex]

Substitute k = 14 into [tex] y = kx [/tex].

✅The equation would be:

[tex] y = 14x [/tex].

✍️Using the equation, we can find how many hours Martina needs to work in order to earn $518 she wants to use to buy a new phone.

Simply, substitute y = 518 in [tex] y = 14x [/tex].

[tex] 518 = 14x [/tex]

Divide both sides by 14

[tex] \frac{518}{14} = x [/tex]

[tex] 37 = x [/tex]

✅Thus, it will take Martina 37 hours to earn $518

Answer:Answer/Step-by-step explanation:

Given that m<3 = 54°

a. <1, <2, and <3 are angles on a straight line. They add up to 180°.

m<3 is given as 54°, m<2 = 90°, therefore,

m<1 = 180 - (54 + 90) = 180 - 144

m<1 = 36°

b. <2 is indicated as a right angle. Therefore, m<2 = 90°

c. <1 and <4 are vertical opposite angles. Vertical angles are congruent, since m<1 = 36°, therefore, m<4 = 36°

d. <5 and <2 are vertical opposite angles. m<2 = m<5, therefore, m<5 = 90°

e. <6 and <3 are vertical opposite angles. m<3 = m<6, therefore, m<6 = 54°

f. m<7 + m<6 = 180° (same side interior angles are supplementary)

m<7 = 180 - m<6

m<7 = 180 - 54

m<7 = 126°

g. m<7 + m<8 = 180° (linear pair)

126° + m<8 = 180

m<8 = 180 - 126

m<8 = 54°

h. m<9 = 180 - m<8 (linear pair)

m<9 = 180 - 54

m<9 = 126°

i. m<10 = m<8 (vertical angles)

m<10 = 54°

j. m<11 = m<4 (alternate interior angles are congruent)

m<11 = 36°

k. m<12 = 180 - m<11 (linear pair)

m<12 = 180 - 36

m<12 = 144°

l. m<13 = m<11 (vertical angles)

m<13 = 36°

m. m<14 = m<12 (vertical angles)

m<14 = 144°

Step-by-step explanation:

Answer:

A. M<1 = 36°

B. M<2= 90°

C. M<4= 36°

D. M<5= 54°

E. M<6= 54°

F. M<7= 126°

G. M<8= 54°

H. M<9= 126°

I. M<10 = 54°

J. M<11 = 36°

K. M<12 = 144°

L. M<13= 36°

M. M<14 = 144°

Your welcome

Answer:

First we are going to try to find how many hours she worked on the fast food restaurant so you multiply 4.25 time 16 and x

10.50x + 4.25(16-x) =136.75

10.50x + 68 - 4.25x= 136.75

Then, you subtract 68 from both sides and subtract 4.25x from 10.50x

6.25x=68.75

Divide

X=11 that is how many hours she worked at the FAST FOOD RESTAURANT

Then 16-11 and that gives us how many hours she helped her aunt.

ANSWER: she worked 11 hours at the fast food restaurant and 5 hours helping her aunt

Step-by-step explanation:

Here, we are required to determine how many hours Kara worked at the fastest food restaurant and how many hours did she help her aunt clean the store.

First, we need to create a model for the work done and how much she earned.

The model is therefore in the form;

$10.50(x) + $4.25(16-x) = $136.75

To determine the no. of hours worked at the fast food restaurant, we have to evaluate the value of x.

Therefore;

x = 11

The number of hours worked by Kara in the restaurant is; 11hours.

The number of hours worked by Kara in her aunt's store is; (16 - 11) hours = 5hours.

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Answer:

5.

Step-by-step explanation:

He simplified incorrectly:

-11.8 + 9.8 = -2,  not -21.6.

Answer:

Answer is C

Step-by-step explanation:

Answer:

Use of recursion in an algorithm has both advantages and disadvantages. The main advantage is usually the simplicity of instructions. The main disadvantage is that the memory usage of recursive algorithms may grow very quickly, rendering them impractical for larger instances.

Answer:

uses more memory

recursion can be slow

Answer:

bellnshaped i think

Step-by-step explanation:

Step-by-step explanation:

sin 75°: Now using the formula for the sine of the sum of 2 angles, sin(A + B) = sin A cos B + cos A sin B, we can find the sine of (45° + 30°) to give sine of 75 degrees.

Answer:

D.)

Step-by-step explanation:

Edge

Answer:

11 (answer c)

Step-by-step explanation:

you need to find LCD and then combine

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex] \frac{7}{8} \div \frac{1}{8} + {2}^{2} = \\ [/tex]

[tex]( \frac{7}{8} \times 8) + {2}^{2} = \\ [/tex]

[tex]7 + 4 = 11[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

Hrmm

Step-by-step explanation:

Answer: A . Not all 2 × 2 matrices have an inverse matrix. If the determinant of the matrix is zero, then it will not have an inverse; the matrix is then said to be singular. Only non-singular matrices have inverses.

Step-by-step explanation:

Answer:

Please check the explanation.

Step-by-step explanation:

Given the equation

[tex]5x-3=5[/tex]

MaReeco's rewrote equation is given by

[tex]5x = 2[/tex]

As MaReeco subtracted 3 to the right side of the equation, which imbalanced the equation. Hence, it is not correct.

Correction:

For the next step, MaReeco should have added 3 to both sides

i.e.

[tex]5x-3+3=5+3[/tex]

[tex]5x=8[/tex]

Therefore, the acceptable move would have been:

You did not give 70 points, that was just 35 points

Answer:

it took him 3 hours

Step-by-step explanation:

28 divideed by 4= 7

21divided by 7=3

Answer:

(-6,-18) & (2,6) -----------> 3

(12,6) & (-4,-2) -----------> [tex]\frac{1}{2}[/tex]

(5,-19) & (6,-23) ----------> -4

(3,4) & (3,9) ---------------> unidentified

(1,-10) & (2,-15) -----------> -5

(-1,8) & (3,8) ---------------> 0

(0,0) & (21,14) -------------> [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Use this formula to find all of these slopes.

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Answer: I do believe that it is that the smooth shape is the dominate and the wrinkled is the resistive.

Step-by-step explanation:

Answer:

1) 82

2) 28

3) 18

4) 111

Step-by-step explanation:

1) a two digit number can be written as:

N = b*10 + c*1

where b and c must be single digit numbers

in this case, c is a prime number, and b = 4*c

The prime numbers are:

2, 3, 5...

if c = 2, then:

b = 4*2 = 8

And the two digit number is: 82.

if c = 3, then:

b = 4*3 = 12, and this leads to a 3 digit number.

And for any large value of c, b will not be a single digit number, then the only option here is 82.

2) same as before:

N = b*10 + c

c = b^3.

c ≠ b

Let's give different values for b, and see what happens.

b can not be zero, because that will lead to a single digit number, then we start with one.

b = 1 ----> c = 1^3 = 1 ----> (c = b, then this is not our number)

b = 2 ----> c = 2^3 = 8, then:

N = 2*10 + 8 = 28.

if b = 3 ----> c  = 3^3 = 28 (this is not a single digit number, then any value of b equal or larger than 3 does not work)

The only solution here is 28.

3) Same as before:

N = b*10 + c

c = b^2 + 7.

Same approach as before, let's give different values to b and see which one works:

b = 1 ----> c = 1^2 + 7 = 8

N = 1*10 + 8 = 18.

b = 2 ---> c = 2^2 + 7 = 4 + 7 = 11 (This is a two digit number, then any value of b equal or larger than 2 can be discarded)

The only option here is 18.

4) Now we have:

N = a*100 + b*10 + c.

where:

b = c^2

a = b^2.

Now let's give values to c. (here we can start with zero).

if c = 0 , then: b = 0^2 = 0, then: a = 0^2 = 0.

Then  N = 0*100 + 0*10 + 0 = 0 (this is not a 3 digit number)

if c = 1, then:   b = 1^2 = 1, then: a = 1^2

N = 1*100 + 1*10 + 1 = 111

If c = 2, then: b = 2^2 = 4, then: a= 4^2 = 16  (here a is not a single digit number, then values of c equal or larger than 2 can be discarded)

The only correct option here is 111.

Answer:

42

Step-by-step explanation:

start with the first 5x2 then add

Answer:

42

Step-by-step explanation:

5×2+32

10+32

42

Answer:

answer is 2

Step-by-step explanation:

Answer:

x^2+3x-4=6

Step-by-step explanation:

first you add the x

After removing the parentheses using the distributive property, the expression [tex]2x^4 (6x^2 - 9)[/tex] simplifies to [tex]12x^6 - 18x^4.[/tex]

We have,

To remove the parentheses using the distributive property, we need to multiply each term inside the parentheses by the term outside the parentheses.

Applying the distributive property to the expression [tex]2x^4 (6x^2 - 9),[/tex] we have:

[tex]2x^4 * 6x^2 - 2x^4 * 9[/tex]

Multiplying the terms:

[tex]12x^6 - 18x^4[/tex]

Therefore,

After removing the parentheses using the distributive property, the expression [tex]2x^4 (6x^2 - 9)[/tex] simplifies to [tex]12x^6 - 18x^4.[/tex]

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Answer:

The answer is b

Step-by-step explanation:

To find the length of the mosaic, we need to use the area divided by width which is 3/4 / 1/3

Answer: a

Step-by-step explanation:

just took test edg2020

The part of the solution of the equation that lies in the solution region of the inequality is x = π/6, the correct option is A.

An Inequality is a statement that is formed when two expressions are joined using an inequality operator.

The equation is

y = tan²x

y = 1

the inequalities are

tan²x < 1   ( 0≤ x ≤ 2π)

The graph of the system of equations and the inequality is plotted, and attached with the answer.

The answer can be seen as  x = π/6.

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Answer:

528 miles

Step-by-step explanation:

First, we need to figure out how many miles it drives in 1 hour:

480 divided by 4 = 120

now, we add 12 to 120: 120 + 12 = 132

132 x 4 = 528

hope this helped have a great day/night!! :'')

Answer:

Option A: -2≤x<-1

Step-by-step explanation:

Then select graph a

Answer: Anyway, option A.

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Y is half as large as x. I cant see the options but I know that 10/2=5, 6/2=3 and so on so i would go with 1/2

Answer:

Step-by-step explanation:

What they are asking for here is where the y-values are negative in interval format. Intervals are x things only, no y's allowed. So the interval of (-infinity, -3) indicates an x value of negative infinity to an x value of -3. The y's are negative from an x value of negative infinity to an x-value of -3, then again from an x value of almost -1 to an x value of almost positive 1. So your choice is the last one listed there.

Answer:

(xy)^2

Step-by-step explanation: