36 ants including the queen created a new colony. after 9 monthe there are now 766 ants. at 17 months how many ants will live in the conoly

Answers

Answer 1

There will be 1,447 ants in the colony

Related Questions

Which represents a quadratic functionWhich represents a quadratic function? f(x) = 2x3 + 2x2 – 4 f(x) = –7x2 – x + 2 f(x) = –3x + 2 f(x) = 0x2 + 3x – 3

Answers

Answer:

[tex]f(x) = -7x^2 -x +2[/tex] represents a quadratic function.

Step-by-step explanation:

A polynomial of degree two is called quadratic function,

Also, degree of polynomial is the highest power of its monomial ( individual term with non zero coefficient ),

Since, [tex]f(x) = 2x^3 + 2x^2 -4[/tex] has degree 3,

⇒ [tex]f(x) = 2x^3 + 2x^2 -4[/tex] is not a quadratic function,

[tex]f(x) = -7x^2 -x +2[/tex] has degree 2,

⇒ [tex]f(x) = -7x^2 -x +2[/tex] is a quadratic function,

[tex]f(x) = -3x+2[/tex] has degree 1,

⇒ [tex]f(x) = -3x+2[/tex] is not a quadratic function,

[tex]f(x) = 0x^2 + 3x -3[/tex] has degree 1,

⇒ [tex]f(x) = 0x^2 + 3x -3[/tex] is not a quadratic function,

Solve the inequality. Graph the solution set.

2r−9≤−6

Answers

we have that

2r−9≤−6------> 2r ≤ -6+9-------> 2r ≤ 3-----> r ≤ 1.5

the solution is the interval (-∞, 1.5]

using a graph tool
see the attached figure

Hey!

The first step to solving this inequality is to change the equation. We'll change the equation by adding plus nine to both sides of the equation. This will help us get 2r on its own.

Original Equation :
2r - 9 ≤ -6

New Equation {Added Plus 9 to Both Sides} :
2r - 9 + 9 ≤ -6 + 9

Now we'll simplify the equation by solving -9 + 9 and -6 + 9.

Old Equation :
2r - 9 + 9 ≤ -6 + 9

New Equation {Old Equation Simplified} :
2r ≤ 3

Once again we'll have to change the equation. We'll do this by adding divide both sides by two. This will give us the variable ( r ) on its own.

Old Equation :
2r ≤ 3

New Equation {Added Divide 2 to Both Sides} :
[tex] \frac{2r}{2} [/tex]  ≤  [tex] \frac{3}{2} [/tex]

Now we simplify.

Old Equation :
[tex]\frac{2r}{2}[/tex] ≤  [tex]\frac{3}{2}[/tex]

New Equation {Old Equation Simplified} :
r ≤  [tex] \frac{3}{2} [/tex]

Now, that is, in fact, the solution but since I'm not sure which form you need, I've written it in other forms as well.

Solution →   r ≤  [tex] \frac{3}{2} [/tex]

Decimal → 1.5

Interval Notation → [tex](-[/tex] ∞[tex], \frac{3}{2} )[/tex]

Below, I have also attached a graph that shows how this inequality should be graphed.

Hope this helps!

- Lindsey Frazier ♥

Am I correct in thinking that the answer to this derivative problem is B?

dy/dx = y/x^2

dy/y = dx/x^2

ln y * ln c = -1/x

cy = e^(-1/x)

y = ce^(-1/x)

Answers

y ' = x(1+y)
dy/dx = x(1+y)
dy/(1+y) = x dx .... separate variables
int[dy/(1+y)] = int[x dx] ... apply integral to both sides
ln(1+y) = (1/2)x^2+C ... see note below
1+y = e^{(1/2)x^2+C}
1+y = e^C*e^{(1/2)x^2}
1+y = Ce^{(1/2)x^2}
y = Ce^{(1/2)x^2}-1

Answer is actually choice C (not choice B)

note: we would use absolute value bars for the natural log on the left side, but because y > -1, this means 1+y > 0. So there's no need to worry about if 1+y is negative

-----------------------------------------------------

Checking the answer:

y = Ce^{(1/2)x^2}-1
dy/dx = d/dx[ Ce^{(1/2)x^2}-1 ]
dy/dx = d/dx[(1/2)x^2]*Ce^{(1/2)x^2}
dy/dx = (1/2)*2x*Ce^{(1/2)x^2}
dy/dx = x*Ce^{(1/2)x^2} ... we get some messy expression

x*(1+y) = x*(1+Ce^{(1/2)x^2}-1)
x*(1+y) = x*Ce^{(1/2)x^2} .... we get the same messy expression as before

So this shows that dy/dx = x*(1+y) is a true equation for y > -1 and y = Ce^{(1/2)x^2}-1, which confirms the right answer.

I am first going to try finding the tangent line at this point:

Take the derivative:
dy/dx = (3x^2 - e^x)/2y
Solve using (0, 1)
dy/dx = (0 - 1)/6 = -1/6

I believe that -1/6 is the slope of the tangent line, so the slope of the normal line should be +6, right?

Answers

Yep, you're correct!

[tex]e^x-x^3+y^2=10[/tex]

[tex]y^2=x^3-e^x+10[/tex]

Take the derivative of both sides.

[tex]2y \dfrac{dy}{dx} = 3x^2-e^x [/tex]

[tex]\dfrac{dy}{dx}= \dfrac{3x^2-e^x}{2y}[/tex]

Plug in (0, 3) and you get -1/6.

The derivative of a function at a certain point is the slope of the tangent of that point.

This is because the derivative is supposed to represent the rate of change for the function, and the slope of a line represents a constant rate of change. The rate of change of a function at a certain point is constant, so a line can be used to represent it. This line is the tangent line.

It is a property of perpendicular lines to have slopes that are negative reciprocals of another. The negative reciprocal of -1/6 is 6, so you are correct.

You are correct on both counts. (Though, I suspect you mean "Solve using (0, 3)."

The slope of the normal is 6.

If BY = 4, YC = 7, XC = 10. Which of the following proportions could be used to solve for AC?

4/7 = 10/AC
7/4 = 10/AC
4/11 = 10/AC
7/11 = 10/AC

Answers

line XY goes in through triangle ABC, and Y lies between lines BC while X lies between lines AC
The ratio of similar sides to triangles should be equal AC/XC=BC/YC BC=BY+YC BC=4+7=11
AC/10=11/7 or 7/11=10/AC the ratio above should be used for calculation of AC

Answer:

The correct option is 4.

Step-by-step explanation:

In triangle ABC and XYC,

[tex]\angle BAC=\angle YXC=60^{\circ}[/tex] (Given)

[tex]\angle BCA=\angle YCX[/tex] (Reflexive Property)

By AA rule of similarity,

[tex]\triangle ABC\sim \triangle XYC[/tex]

The corresponding sides of similar triangles are proportional.

Since triangle ABC and XYC, therefore

[tex]\frac{XC}{AC}=\frac{YC}{BC}[/tex]

[tex]\frac{XC}{AC}=\frac{YC}{BY+YC}[/tex]

[tex]\frac{10}{AC}=\frac{7}{4+7}[/tex]

[tex]\frac{10}{AC}=\frac{7}{11}[/tex]

Therefore option 4 is correct.

An item that originally cost $100 is decreased by 8%. The reduced price is then increased by 8%.

The resulting price is _____.

Answers

first, find the decreased price by multiplying 100 by 8% and subtracting:

100 x 0.08 = 8

100-8 = 92 ( reduced price )

now multiply reduced price by 8% and add:

92 x 0.08 = 7.36

92 + 7.36 = $99.36

Answer:

The resulting price is $99.36.

Step-by-step explanation:

Original cost of the item = $100

The decrease percentage is 8% or 0.08

So, the reduced price becomes :

[tex]100-(0.08\times100)=92[/tex] dollars

Now again the reduced price is increased by 8%.

So, multiplying the reduced price by 8% and adding it again we get;

[tex]92+(0.08\times92)[/tex] =$99.36

So, the resulting price is $99.36.

(need help!) A dart is thrown at the board shown. It hits the board at a random point. Find the probability that it will land in the unshaded region. Round to the nearest percent.

20%

33%

17%

25%

Answers

The answer would be B, or 33%

[tex] |\Omega|=360\\
|A|=120\\\\
P(A)=\dfrac{120}{360}=\dfrac{1}{3}\approx33\% [/tex]

Find the area of the rectangle below (3x-2) (4x-7)

Answers

To find the area, we have to use the F.O.I.L. method to solve (3x-2)*(4x-7)

-> 12x^2-21x-8x+14

= 12x^2 - 29x + 14

So the area of the rectangle would be 12x^2 - 29x + 14.

Hope this helps. If you have any questions, place it in the comment section below.

All we can do here is assume that the width and length of the rectangle in question are 3x-2 and 4x-7.

If and only if this assumption is correct, then the area is L * W, or

(3x-2)(4x-7) = 12x^2 -13x + 14.

a garden patio is covered with grey slabs and yellow slabs. 1/5 is grey. 1/4 is yellow. there’s 55 slabs in total. what is the number of yellow slabs

Answers

1/4 of 55 would be 13.75 can the answer be a decimal

Answer:

Step-by-step explanation:

1:4

4+1=5

55/5=11

11*4=44

the answer is 44

A bag contains 5 5 green marbles, 10 10 yellow marbles, 4 4 red marbles. two marbles are drawn without replacement which means that once the first marble is selected it is not put bag into the bag. it is not replaced. what is the probability of drawing a green marble then a red marble?

Answers

The probability of drawing a green marble will be 5/19, then for a red marble it will be 4/18 because there are less marbles in the bag. Also the probability of drawing a green or red marble the second draw will be the same probability. Hope this helps!

Total number of marbles = 5 + 10 + 4 = 19

Number of green marbles = 5
Number of red marbles = 4

P(Green, then red) = (4/19)(5/18) = 5/28

Answer: 5/28

Suppose two fair six-sided dice are rolled. what is the probability that they will both come up with the same number?

Answers

You have a 16.7% chance of rolling doubles

What is the area of a regular hexagon with a side length of 12 cm

Answers

The answer is about 374.
More exactly would be 374.12.
Hope this helps!

The answer is 72 cm. Because 12*6=72.

Wai recorded the length of each wire needed for a science project. What is the total length of wire needed?

Answers

the picture in the attached figure

we know that
the attached figure is a frequency table

Multiply each number of Length by its frequency
The product is the total amount for that value
Add the products
so
(1/8)*1+(1/4)*1+(1/2)*3+(3/4)*8+(1)*4+1 3/8*(2)
1 3/8----> 11/8
=(1/8)*1+(1/4)*1+(1/2)*3+(3/4)*8+(1)*4+11/8*(2)
=(1/8)+(1/4)+(3/2)+(6)+(4)+11/4
=(1+2+12+48+32+22)/8
=117/8-----> 14.625-----> 14 5/8 ft

the answer is
14.625 ft or 14 5/8 ft

Answer:

14 5/8

Step-by-step explanation:

multiply each number by it's frequency the product is the total value .

A museum charges a school $200 to hold a trip + $2 entrance fee per person. The students must share the total cost of the trip equally include the entrance feee for 8 teachers. What is the function Y(x) that gives that gives the cost per X person attending the trip?

Answers

y = [tex] \frac{ 2x + 216}{x} [/tex]

This is because 16 needs to be added to the base amount since the teachers cost is automatically added in.

Evaluate the series 4 – 2 + 1 – 0.5 + 0.25 to S10. Round to the nearest hundredth.

Answers

The initial term of this geometric series is 4, and the common ratio is -1/2. The sum is given by

[tex]S_{n}=a_{1}\dfrac{r^{n}-1}{r-1}\\\\S_{10}=4\cdot \dfrac{(-\frac{1}{2})^{10}-1}{-\frac{1}{2}-1}=4\cdot \dfrac{(\frac{1}{1024}-1)}{(-\frac{3}{2})}\\\\=\dfrac{8}{3}\cdot \dfrac{1023}{1024}=\dfrac{341}{128}[/tex]

The sum is approximately 2.66.

Suppose that there were a strong correlation between the variables n and p. Which of these is a true statement?
A. n may cause p.
B. p must cause n.
C. n must cause p.
D. n must not cause p.

Answers

Correlation is the measure of the type of association between two variables. There can be a positive, a negative or no association between two variables.

A correlation can be called association when it can be ascertained that the result in one variable is as a result of the result of the other variable. Though correlation is a condition for causation, but correlation does not imply causation.

Therefore, given that there were a strong correlation between the variables n and p, the true statement is "n may cause p".

Haley measured the distances between her house and two of her friends' houses. ellen's house is 1.41 miles away from haley's, and dirk's house is 6,547 feet away from haley's. whose house is farther away from haley's, and how many feet farther away is it, to the nearest whole foot?

Answers

We have the following variables:
H = Haley's house
E= Ellen's house
D = Dirk's house

In the figure below we can see the representation of this problem.

Given that there are two measurements with different units, namely, the distance between Haley and Ellen's houses is in miles and the distance between Haley and Dirk's houses is in feet, we need to convert one of these units.

As the final question demands which house is farther away from Haley's, we will convert the distance between Haley and Ellen's houses from miles to feet, so:

[tex]1mi = 5280ft[/tex]

[tex]1.41mi(\frac{5280ft}{1mi}) = 7444.8ft[/tex]

So:
The distance between Haley and Ellen's houses = [tex]7444.8ft[/tex]
The distance between Haley and Dirk's houses = [tex]6547ft[/tex]

Then Ellen's house is farther away from haley's, and the nearest whole foot is:
[tex]7444ft[/tex]

Answer: Ellen's house is farther away by 898 feet.

Step-by-step explanation:

Given: The distance between Haley's house and Ellen's house = 1.41 miles

We know that 1 mile = 5,280 feet

Then, [tex]1.41\text{ miles}=1.41\times5,280\text{ feet}=7,444.8\text{ feet}[/tex]

The distance between Haley's house and Dirk's house = 6,547 feet

Clearly, 6,547<7,444.8

And [tex]7444.8-6547= 897.8\approx898[/tex]

Therefore, Ellen's house is farther away by 898 feet.

Techechtium-99m has a half-life of 6 hours. If 1000mg is in use, in how many hours will 62.5mg remain?

Answers

One half life 1000 mg to 1000/2 =500 mg
One half life 500 mg to 500/2 = 250 mg
One half life 250 mg to 250/2 = 125 mg
Etc .......

Final answer:

Techechtium-99m has a half-life of 6 hours. It will take 96 hours for 62.5 mg of Techechtium-99m to remain from an initial amount of 1000mg.

Explanation:

To determine how many hours it will take for 62.5 mg of Techechtium-99m to remain from an initial amount of 1000mg, we can use the concept of half-life.

Techechtium-99m has a half-life of 6 hours, which means that after every 6 hours, half of the initial amount will decay.

So, to find the number of half-lives required to reach 62.5 mg, we can divide the initial amount by the remaining amount:

1000mg / 62.5mg = 16.

Since each half-life is 6 hours, we can multiply the number of half-lives by 6 to find the total number of hours:

16 x 6 = 96.

Therefore, it will take 96 hours for 62.5 mg of Techechtium-99m to remain from an initial amount of 1000mg.

n circle A shown below, m Arc BC is 61° and m Arc EF is 76°: Points B, C, E, F lie on Circle A. Lines BE and CF pass through point D creating angle EDF. Measure of arc BC is 61 degrees and What is m∠FDE?

Answers

Here is the solution:

m<FDE = 1/2( Arc BC + Arc 76)
m<FDE = 1/2 (61° + 76°)
m<FDE = 137/2 = 68.5°

So the answer is 68.5°

Answer:

The correct answer is 68.5°

The calculated result of the angle FDE is 68.5°. Whenever two chords cut across a circle, the resulting angle is equivalent to half of the sum of the measurements of the arc the angle intersects and that which the angle vertical to the first angle intercepts.

m<FDE = 1/2( Arc BC + Arc 76)

m<FDE = 1/2 (61° + 76°)

m<FDE = 137/2 = 68.5°

Give Brainliest if you please

The base of a triangle is 15 centimeters and its height is 6 centimeters. What is the area of the triangle?
a.21 cm2
b.45 cm2
c.90 cm2
d.180 cm2 Submit

Answers

Hoi!

To calculate the area, multiply 15 and 6, then divide the product by 2.

15 × 6 = 90

90 ÷ 2 = 45

The area of this triangle is 45.

What is the measure of the angle?

Answers

Remember that the x-axis and the y-axis make an angle of 90° in the first quadrant. To find the measure of the angle we just need to add the smaller angle, 65°, and the right angle between the axis 90°:

Measure of the angle=65°+90°=155°

We can conclude that the measure of the bigger angle in the picture is 155°

The 65 degrees lies in the beginning of the 2nd quadrant where the second quadrant starts with 90 degrees.

So the angle is 90 degrees + 65 degrees = 155 degrees

The fourth one is the answer

jen is thinking of a number. the product of this number and 3.4 is 176.8. find jens number.

Answers

Let the number be x.

The product of the number and 3.4 is 176.8, so we can write the equation as:

3.4x = 176.8

Dividing by 3.4 on both sides, we get:

x = 52

Thus, Jen is thinking of 52 as his number

Hello!

Let the unknown number equal X. We are given that the product of X and 3.4 is equal to 176.8. The term "product" implies the use of multiplication. With this knowledge, we can represent the problem using the following formula:

3.4x = 176.8

Now divide both sides of the equation by 3.4:

x = 52

We have now proven that Jen is thinking of the number 52.

I hope this helps!

New York City gift shop sells miniature Statue of Liberty sculptures that are 7.8 inches tall. the scale of the model to the actual statue is 1:232. what is the height of the actual statue to the nearest foot?

Answers

the correct answer is 151

please help asap 50 pts

Answers

C. If you were to graph the parabola, you would find that the vertex is at (19,361). Therefore, the answer is C.

Your answer should be C.

[tex]The\; vertex\; is\; at\; 19,361\; so\; your\; answer\;is\;c![/tex]

Q: what is the complete factorization of the polynomial below x^3+4x^2-x-4?

A. (x+1)(x-1)(x+4)
B. (x-1)(x-1)(x-4)
C. (x+1)(x-1)(x-4)
D. (x-1)(x-1)(x+4)

Answers

The solution is Option A.

The factorized form of the polynomial equation A = x³ + 4x² - x - 4 is given by B = ( x + 1 ) ( x - 1 ) ( x + 4 )

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the factorized equation be represented as = B

Now , let the equation be A

The value of A is given by A = x³ + 4x² - x - 4

On simplifying the equation , we get

A = x³ + 4x² - x - 4

Taking x² as the common term in the first two terms of the equation ,

A = x² ( x + 4 ) - x - 4

The equation can be further simplified as

A = x² ( x + 4 ) - ( x + 4 )

Taking ( x + 4 ) as the common term in the first two terms of the equation ,

A = ( x² - 1 ) ( x + 4 )

Now , ( x² - 1 ) can be simplified as ( x + 1 ) ( x - 1 )

So , the value of B is

B = ( x + 1 ) ( x - 1 ) ( x + 4 )

Therefore , the value of B is ( x + 1 ) ( x - 1 ) ( x + 4 )

Hence , the factorized equation is ( x + 1 ) ( x - 1 ) ( x + 4 )

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Which sequence is modeled by the graph below? Coordinates are 1,1 2,2 3,4 4,8

Answers

The given points are:

1,1
2,2
3,4
4,8

The first point indicates the number of term and second points indicate the value of the term in the sequence.

So, the sequence we get is:

1, 2, 4, 8, ...

Notice that each term of the sequence is obtained by multiplying the previous term by 2. A sequence with such a relation is known as Geometric Sequence or a Geometric Progression (G.P)

The point of the graph are: (1,1),(2,2), (3,4), (4,8).
Then the sequence is:

For the x-coordinate:1,2,3,4,5,6,7...

For the y-coordinate:1,2,4,8, which is 2^0,2^1,2^2,2^3... so there for the next y-coordinates are 16,32,64,128, ...

So the sequence is: 1,2,4,8,16,32,... 2^x.

what is the following product 3 sqrt 2(5 sqrt 6-7 sqrt 3)

Answers

the answer in the attached figure

Answer:

[tex](30\sqrt{3}-21\sqrt{6})[/tex]

Step-by-step explanation:

We have to find the product of the expressions.

[tex]3\sqrt{2}(5\sqrt{6}-7\sqrt{3})\\[/tex]

= [tex]3\sqrt{2}\times 5\sqrt{6}-7\sqrt{3}\times 3\sqrt{2}[/tex] ( By distributive rule)

= [tex]3\times 5(\sqrt{2})(\sqrt{6})-7\times 3(\sqrt{3})(\sqrt{2})[/tex]

= [tex]15\sqrt{12}-21\sqrt{6}[/tex]

= [tex]15\sqrt{4\times 3}-21\sqrt{6}[/tex]

= [tex]30\sqrt{3}-21\sqrt{6}[/tex]

= [tex](30\sqrt{3}-21\sqrt{6})[/tex]

The figure below is the two-dimensional net of a rectangular prism. What is the surface area of the prism it can be folded to form? Show your work.

8 square units
20 square units
24 square units
28 square units

Answers

see the picture with letters attached to better understand the problem

we know that
surface area=area A +area B+area C+area D+area E+area F

area A=area F
area B=area area D
area C=area E
so
surface area=[2*1]+[4*2]+[4*1]+[4*2]+[4*1]+[2*1]----> 28 units²

the answer is
28 units²

Answer:

the answer is d:)

Step-by-step explanation:

i took the quiz on edge and got 100:D

The dot product of u with itself is 12. what is the magnitude of u?

Answers

let's say u = <a,b>.

we know it's dot product is 12, thus

[tex]\bf \ \textless \ a,b\ \textgreater \ \cdot \ \textless \ a,b\ \textgreater \ \implies (a\cdot a)+(b\cdot b)\implies \boxed{a^2+b^2=12}\\\\ -------------------------------\\\\ ||\ \textless \ a,b\ \textgreater \ ||=\sqrt{a^2+b^2}\implies \sqrt{\boxed{12}}[/tex]

Answer: The magnitude of the vector u is √12 units.

Step-by-step explanation: Given that the dot product of a vector u with itself is 12.

We are to find the magnitude of the vector u.

Let <a, b> represents the vector u.

That is, u = <a, b>

Then, according to the given information, we have

[tex]u.u=12\\\\\Rightarrow <a, b>.<a, b>=12\\\\\Rightarrow a^2+b^2=12\\\\\Rightarrow \sqrt{a^2+b^2}=\sqrt{12}\\\\\Rightarrow |u|=\sqrt{12}.[/tex]

Thus, the magnitude of the vector u is √12 units.

How to find all values of x where the tangent line is horizontal?

Answers

Your question is a rather general one. However, it can be said that differentiating the given function of x with respect to x and setting the result = to 0, then solving for x, will produce all values of x where the t. l. is horizontal.

Final answer:

To find x-values where a function's tangent line is horizontal, find the derivative, set it to zero, and solve for x considering any function's restriction.

Explanation:

To find all the values of x where the tangent line is horizontal, we need to understand that these are the points where the derivative of the function is zero. This is because the derivative of a function at a point gives us the slope of the tangent line at that point. And, for a line to be horizontal, its slope needs to be zero.

So, to find these values:

Find the derivative of the given function. Set this derivative equal to zero.Solve the equation for x.

The solutions will give you the x-values where the tangent line is horizontal. Do note that you need to be aware of the domain and any restrictions of the original function to have valid solutions.

Learn more about Derivation here:

https://brainly.com/question/35445913

#SPJ11

Other Questions

According to the personal moral philosophy of __________, if the benefits exceed the costs, the behavior is ethical. socialism existentialism moral idealism hedonism How have developed Western countries affected non-western developing nations during the modern period? Explain how three political, economic, and/or cultural approaches by European and other Western countries shaped the developing world over the last 250 years. use evidence and examples from the course to support your ideas and opinions. In which of the conditions would oxygen release from hemoglobin be increased? Convert 7.2*10^-3 to standard form please help thanks Franklins hometown is flooding due to a severe storm. He is evacuating the area in his vehicle. What should he do if he comes across a flooded area or flowing water? Around age 85, a life expectancy crossover occurs in thata. surviving members of low-ses ethnic minority groups live longer than members of the white majority.b. surviving members of the white majority live longer than members of low-ses ethnic minority groups.c. differences in rates of chronic illness between high-ses and low-ses groups increase with age.d. men outnumber women by a ratio of about 3 to1. If (2 3i) + (x + yi) = 6, what is x + yi? 4 + 3i 4 3i -4 3i -4 + 3i 4x + 3i What is the primary goal of stress management? What is a commonly publicized password sql injection string? The other day my teacher took up a comic book I'd been reading in class and told me I needed to be reading "real" books. Now, granted, I should not have been reading any book in class other than what we were learning, but I think my teacher is wrong. Comic books are just as "real" as any other book. Comic books are often educational and teach students about subjects they did not know before. Comic books are also extremely fun and popular and give students a positive reading experience. I'm going to recommend that we put some comic books on the summer reading list for next year. Which sentence could best be added to this paragraph as a supporting detail? A)I think we should be allowed to read comic books anytime and anyplace that we want to. B)Comic books have all the things a "real" book has--plot, character, conflict, and theme. C)My family has always been a big family of readers with full bookshelves all over our home. D)In addition to liking comic books, I also like to read non-fiction adventure stories for boys. Jake is younger than Sophie. Sophie is 14 years old. Write an inequality that compares Jake's age in years, (j), to Sophie's age. Food borne pathogens are harmful to the human body in any amount Which group of living things can move energy from consumers at the top of an energy pyramid back to producers at the bottom? * Use the graph below to answer the question that follows:What is the rate of change between the interval x = and x = three pi over two?pi over 16 negative 16 over pi pi over 4 negative 4 over pi A-Town wants to know the number of cell phones in each household the town divides the population up by neighborhood and surveys a random number of households and eat what type of survey is this Public opinion matters in democracy because of the concept of Choose the correct future form of hablar. Yo _____ con la maestra. hablar hablars hablaremos hablarn URGENTAbel uses a probability simulator to roll a six-sided number cube 100 times and to flip a coin 100 times. The results of the experiment are shown below: Number on the CubeNumber of Times Rolled 1 l 12 2 l 18 3 l 30 4 l 22 5 l 10 6 l 8 Heads:34 Tails:66 Using Abel's simulation, what is the probability of rolling a 2 on the number cube and the coin landing on tails? 84/10,0001,188/10,00018/10066/100 (2n + 3)(n 4) = 0need help asap!!! What was one consequence of Germanys invasion of the Soviet Union?