List the partial products of 242 and 28.

Answer:

Please see photo for explanation and answer.

Answer:

1/119

Step-by-step explanation:

119 is a whole number which you convert into 119/1 then the reciprical would be 1/119

The estimated population is found to be 48 rabbits

The estimated population, P is determined by using the following formula:

[tex]P=T_{F} *T_{L} /M[/tex]

P=estimated population

[tex]T_{F}[/tex]=total animals captured in first trapping

M=recaptured animals that are marked

[tex]T_{L}[/tex]=total animals captured in a later trapping

From the question, [tex]T_{F}[/tex]=20 rabbits, M=5 rabbits, [tex]T_{L}[/tex]=12

P=20*12/5

P=240/5

P=48 rabbits

Hence, the estimated population is 48 rabbits

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The product of y and 5 is greater than or equal to - 20 is 5y ≥ -20

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

In this case, the product of y and 5 is greater than or equal to - 20 will be:

(5 × y) ≥ -20

5y ≥ -20

This is the inequality.

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The solution to the inequality  |x+4| - 6 < 9 is -19 < x < 11.

The inequality can be solved as follows;

|x+4| - 6 < 9

add 6 to both sides of the inequality

|x+4| - 6 < 9

|x+4| - 6 + 6< 9 + 6

|x+4| < 15

applying absolute rule,

- 15 < x + 4 < 15

Therefore,

x + 4 > -15 and x + 4 < 15

x > -15 - 4  and x < 15 - 4

x > - 19 and x < 11

Therefore, the final inequality is -19 < x < 11

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The zeros of the polynomial function are x = 0, x = 3 and x = ±√2

The equation of the function is given as

f(x) = x⁴ - 3x³ - 2x² + 6x

Factor out x from the equation of the function

So, we have

f(x) = x(x³ - 3x² - 2x + 6)

Factorize the expression in the bracket

So, we have

f(x) = x(x²(x - 3) - 2(x - 3))

Factor out x - 3

So, we have

f(x) = x(x - 3)(x² - 2)

Set the factors to 0

x(x - 3)(x² - 2) = 0

Expand

x = 0, x = 3 and x² = 2

Take the square roots

x = 0, x = 3 and x = ±√2

Hence, the zeros are 0, 3 and ±√2

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Answer:

y = -16 + 4x

Step-by-step explanation:

The standard slope equation is y=mx+b. M is the slope and also the y intercept so if you look at the graph you can see that -16 is the y intercept, next you have to find the x intercept, why? I don't remember but then you do that in the equation, as you can also see on the graph, 4 is the x intercept so its 4x. put that into y intersect form at it's y = -16 + 4x

Answer:

points

Step-by-step explanation:

dunno gl

Answer:

∠ D ≈ 31.0°

Step-by-step explanation:

using the tangent ratio in the right triangle

tan D = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{EF}{DE}[/tex] = [tex]\frac{9}{15}[/tex] , then

∠ D = [tex]tan^{-1}[/tex] ( [tex]\frac{9}{15}[/tex] ) ≈ 31.0° ( to the nearest tenth )

Let's call the speed of the wind as w, and the speed of the plane when its windless as p.

Since an airplane takes 4.5 hours to travel 913.5 miles while flying against the wind, to find its speed we just need to divide the distance travelled by the time

When the plane is flying against the wind, its speed is equal to the speed of the plane when its windless minus the speed of the wind.

Since we already know the speed of the plane on both situations, we can substitute those values on the expression above and solve for w.

The speed of the wind is 34 miles/h.

Matilda arrives home at 18.45 after driving 42 kilometers from her workplace at an average speed of 56 km/h.

The time Matilda uses to drive home from her workplace is a function of the distance she travels and the average speed she goes.

Using the above formula gives us the time in hours/minutes that she took for the home drive.

This derived time is then added to the time she leaves her workplace to get the time she arrives home using the 24-hour clocking system.

The time Matilda leaves her workplace = 18:00

The total distance Matilda travels from work to her home = 42 km

The average driving speed that Matilda traveled with = 56 km/h

Time used for driving home (in hours) = Distance/Speed

= 42/56

= 0.75 hours

= 45 minutes (0.75 x 60)

Arrival Time = 18:45 (18:00 + 45)

Thus, using the 24-hour clocking system, the time Matilda is expected to reach her home is 18:45.

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In order to calculate the value of 'a', we can use the Pythagorean theorem, where the hypotenuse squared is equal the sum of each leg squared:

In this case, the hypotenuse is 10 and the legs are 'a' and 7, so we have:

So the value of 'a' is √51.

The number of miles that Mark ran was 50 miles.

We can get the number of miles that Mark runs by first assigning him the figure x.

Since DeSahwn ran 40. 7 miles less than Mark, we can express this thus:

x - 40. 7 miles.

If the number of miles that DeShawn ran was 9.3 miles we can factor that into the equation as follows:

x - 40. 7 miles = 9.3 miles

x = 9.3 + 40.7

x = 50 miles.

Therefore, the total number of miles that Mark ran was 50 miles.

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This question is based on dilation. Therefore, the scale factor [tex]$-\mathbf{4}$[/tex] and [tex]$\mathbf{2 . 5}$[/tex] are for expansion of flgure. And,  2/3 and -3/4  are for the contraction of flgure.

We must choose the scale factor of dilation for contraction and expansion in this question.

As we know that,

In a dilation, a scale factor is greater than 1 or less than -1 cause an expansion.  It will make the figure larger.

That  means, -4 is an expansion, since it is less than -1,

And 2.5 is an expansion, since it is greater than 1.

A scale factor that is greater than -1 but less than 1 cause contraction of figure.  It will make the figure smaller.  

This means that,

2/3  Is an expansion, slnce It is less than 1 , and -3/4  Is a contraction, slnce It is greater than -1.

Therefore, the scale factor [tex]$-\mathbf{4}$[/tex] and [tex]$\mathbf{2 . 5}$[/tex] are for expansion of flgure. And, 2/3 and -3/4  are for the contraction of flgure.

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Answer: C

Step-by-step explanation:

answer for the first one is 3.55 pets

second one is 1.4790 pets

i hope this helped! :)

Answer:

x= -103/18

Step-by-step explanation:

1.distribute, 3+2(3x-1)=100/3(2-3)

3+6x-2=100/3 (2-3)

2

Subtract the numbers

3

Rearrange terms

4

Subtract the numbers

5

Multiply the numbers

6

Subtract

1

from both sides

7

Simplify

8

Divide both sides by the same factor

9

Simplify

m is perpendicular to l, s is perpendicular to t, and t is perpendicular to u. Based on the angle shown, these lines are parallel.

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Answer: Alternate interior angles and congruent angles.

Step-by-step explanation: The angles are formed when a line cuts two transversals, and they’re inside the two lines, meaning that they are congruent and alternate interior angles.

(I’ve also attached a helpful image from the web!)

1)

white (w) marble

yellow (y) marble

green (g) marble

red (r) marble

Pw+Pw+Pg+Pr=1 (Eq. 1 )

w+y+g+r=12 (Eq. 2)

Answer: There are 12 marbles in the bag. SInce the question says the bag contains 12 marbles.

2)

a) Pw+Py = Pg

w + y = g (Eq. 3)

b) Pw = 10/40 = 1/4

If P = 1/4, if we have 12 marbles, P=3/12

Then, we know that we have 3 white marbles

Answer: There are 3 white marbles in the bag.

3) Pr = 1/5. Considering that 2 marbles were removed, we have 10 markles. The Pr=2/10.

Answer: Thus, we have 2 balls red.

4) From 12 marbles, we already know that 3 are white and 2 are red.

Then: 12-3-2= 7

Answer: 7 marbles are green or yellow.

5)

From question 4 , we know that;

y + g = 7

y = 7 - g (Eq. 4)

And from Eq. 3

w + y = g

3 + y = g

Substituing Eq. 4 in Eq. 3:

3 + 7 - g = g

10 = 2g

10/2 = g

g = 5

And:

y = 7 - g

y = 7-5

y = 2

The numeratiors are:

3 (Pw), 2 (Py), 5 (Pg)

5) 2 = yellow marbles

5 = green marbles

Placing the students in order from fastest to slowest, in terms of who has the fastest water filling rate is;

1. Miles

2. Dubem

3. Hayden

The way the fastest rate is determined is by finding the unit rates

A unit rate (or unit ratio) is a ratio that describes how many units of the first type of quantity corresponds to one unit of the second type of quantity.

Now, from the question, the rate would clearly be number of walls filled per minute.

1) Mills fills his wall at a rate of 12 wall in 9 minutes. Thus;

Mills unit rate = 12/9 = 4/3 walls filled per minute = 1.333 walls filled per minute

2) Hayden can fill his wall at 15 wall in 313 minutes. Thus;

Hayden's unit rate = 15/313 walls filled per minute = 0.0479 walls filled per minute

3) Dubem can cover 49 wall in 638 minutes. Thus;

Dubem's unit rate = 49/638 walls filled per minute = 0.0768 walls filled per minute

Looking at the decimal unit rates, we can see that fastest to slowest in order are;

1. Miles

2. Dubem

3. Hayden

The way I knew who was faster was to look at the decimal values of their unit rates and it is seen that Miles covered the most part of wall in one minute

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The given statement "The different between the upper class limit and lower class limit is called width of the class intervals" is True

Frequency distributions should normally contain 5 to 20 equal-width classes, be continuous, exhaustive, and mutually exclusive.

Clarification of the quoted phrase,

The breadth or size of the class interval in a frequency distribution table is the distance between the upper and lower class limits.

A class interval, for instance, is any of the groups 20–25, 25–30, 30-35, etc. There is a five-point spread between the upper and lower limits. the class width is therefore 5.

As a result, the assertion is true.

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Answer:

y = (4/5)x + 16

Point-slope form:

y - 12 = (4/5)(x + 5)

Step-by-step explanation:

slope = m; (-5, 12)

m = (4/5)    (x₁, y₁)

y - y₁ = m(x - x₁)

y - 12 = (4/5)(x - (-5))

y - 12 = (4/5)(x + 5)

y - 12 = (4/5)x + 4

  +12                +12

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

y = (4/5)x + 16

I hope this helps!

Answer:

5mph

Step-by-step explanation:

Grab your notebook or phone and slide it across the desk you're working on. Now turn it so it's facing sideways. Now flip it over on one of its edges so you're looking at the back side of it. All of these motions are rigid motions.

Any way of moving all the points in the plane such that

a) the relative distance between points stays the same and

b) the relative position of the points stays the same.

There are four types of rigid motions that we will consider: translation , rotation, reflection, and glide reflection.

In a translation, everything is moved by the same amount and in the same direction. Every translation has a direction and a distance. See Image-1.

A rotation fixes one point (the roto center) and everything rotates by the same amount around that point. Every rotation has a roto center and an angle. See Image-2.

A reflection fixes a mirror line in the plane and exchanges points from one side of the line with points on the other side of the mirror at the same distance from the mirror. Every reflection has a mirror line. See Image-3.

A glide reflection is a mirror reflection followed by a translation parallel to the mirror. Every glide reflection has a mirror line and translation distance. See Image-4.

Therefore,

Simply put, rigid motions are transformations that preserve the side lengths and angles in a shape. You can see any of these transformations by moving an object you may have around you right now. Grab your notebook or phone and slide it across the desk you're working on. Now turn it so it's facing sideways. Now flip it over on one of its edges so you're looking at the back side of it. All of these motions are rigid motions.

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Rational number

Answer:

It is rational, as it is both non-terminating and repeating.

hope it helps :D

Answer:

Determine the Parent Function: y=√x

I verified with a graphing calculator: Demsos. y=x^3 will cross intercepts (x) which is not the parent function and y=1/x is a rational function that is not the parent function that is being asked for.

Answer:

y = -2/3(x) - 8

Step-by-step explanation:

y = mx + b

y = -2/3(x) + b

given: (-3, -6) x=-3 y=-6

-6 = -2/3(-3) + b

-6 = 2 + b

b= -8

so..

y = -2/3(x) - 8

Answer:

A 90-degree CCW rotation will take the points to the left. of the rotational point.

As you have provided no picture to show Figure M and its image rotations, this is as far as I can provide an answer.

Hope that helps