Add
(5x^4+ 2x^3– 1)+(3x² – 3x + 3)

Answers

Answer 1

Answer:

5x^4+ 2x^3+3x² – 3x + 2

Step-by-step explanation:

(5x^4+ 2x^3– 1)+(3x² – 3x + 3)

Combine like terms

5x^4+ 2x^3+3x² – 3x + 3– 1

The only like terms are the constants

5x^4+ 2x^3+3x² – 3x + 2

Answer 2

Answer:

5x^4 + 2x^3 -3x^2 - 3x + 2

Step-by-step explanation:

Expanding out the brackets:

5x^4 + 2x^3 - 1 + 3x^2 - 3x + 3.

Simplifying gives

5x^4 + 2x^3 - 3x^2 - 3x + 2

Remember you can only add x's together if they have the same power. This makes sense why you can 2 to -1 because they are both the same power of x, x^0. (which equals 1 by default)


Related Questions

A bag contains 100 marbles which are red, green, and blue. Suppose a student randomly selects a marble without looking, records the color, and then places the marble back in the bag. The student has recorded 7 red marbles, 2 green marbles and 11 blue marbles. Predict how many red marbles are in the bag.

Answers

Answer:

35 red marbles

Step-by-step explanation:

So we can put the different color marbles in a ratio. So 7:2:11. If we add all of those up we get 20. We do 100/20 to get 5. Each number in the ratio is equivalent to 5 marbles. Then we do 7*5 to get 35. We can check our work by doing, (7*5) + (2*5) + (11*5) = 100. And it does equal 100 so the answer is correct.

Answer:

35 red marbles

Step-by-step explanation:

The total number of marbles the student recorded is 20

Now we have to make a ratio of red to the total number of marbles

That would be 7 : 20

After this, there will be a new ratio which is x : 100

Lastly we will solve for x making the equation 20x = 700, x = 35

Lauren bought 6 yellow roses, 10 orange roses, and 12 pink roses to make a bouquet. What is the ratio of the number of yellow roses to the total number of roses in Lauren’s bouquet? A. 6 : 10 B. 6 : 12 C. 6 : 2 D. 6 : 28

Answers

Answer:

facil es la D

Step-by-step explanation:

10+6+12 igual a 28

y nada mas ahi que decir el numero de rosas amarillas que es este caso son

6

Respuesta 6:28

Answer:

D. 6:28

Step-by-step explanation:

The total number of flower in bouquet is

=6+10+12

=28

The ratio of number of yellow roses to the total number of roses is 6:28


Mike packed three granola bars, measuring 8 cm by 3 cm by 1cm. What volume a box needs
to hold twelve bars?​

Answers

Helloyo!


Answer: 288 cm^3

Explanation:

Volume of on bar = 8*3*1 = 24 cm^3

Volume of 12 bars = 8*3*1*12 = 24*12 = 288 cm^3


Hope it helps ya

Answer:

288 cm^3

Step-by-step explanation:

First, you have to calculate the volume of your individual bar. To do this, you multiply the three given values, so it would look like 8*3*1=24. This means that your individual bar has a volume of 24 cm^3.

To hold 12 granola bars, this would mean that your volume of the individual granola bar would be multiplied by 12, because that is how many you want to fit inside the box. So your operation would looked like 24*12=288 cm^3

Letters a, b, c, and d are angle measures.
Which should equal 105° to prove that f // g?
Оа

n
a
Ос
6
750
d
g

Answers

Answer:

d

Step-by-step explanation:

1. f(x) = x² - 4 ; if x is even = 3x – 2; if x is odd solve for f(4) and f(5)

Answers

Answers:f(4) = 12f(5) = 13

=======================================================

Explanation:

This is a piecewise function as it is composed of two pieces.

The equation for f(x) depends on what x is. Specifically whether it is even or odd.

If x is even, then f(x) = x^2-4. If x is odd, then f(x) = 3x-2

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

f(4) means f(x) when x = 4. We have an even number input for x, so we'll go with f(x) = x^2-4

f(x) = x^2 - 4

f(4) = 4^2 - 4

f(4) = 16 - 4

f(4) = 12

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

When x = 5, x is now odd, so use f(x) = 3x-2

f(x) = 3x-2

f(5) = 3(5) - 2

f(5) = 15 - 2

f(5) = 13

You are going to make “words” using the letters in the word WHISKAS. a) How many seven-letter words can you make? b) How many seven-letter words can you make if the two S’s must be together? c) How many seven-letter words can you make if the words must begin with A and end with H?

Answers

Hey there! I'm happy to help!

PART A

When we say words, we don't really mean words. We just mean how many different ways we can arrange the letters. We could make a word like Hiskasw and that would work.

We have six different letters: w, h, i, s, k, and a. We have two s's and this will be very important when finding these permutations.

The first thing we do is take the number of letters and find its factorial. In this case, it is seven, so we have 7×6×5×4×3×2×1=5040.

But, this is not how many combinations there are, because we have two s's, and since they are the same many of our combinations are actually identical, but the s's are just switched. So, we take the number of s's (2) and we factorial it, which just still equals two, and then we divide our first factorial by that.

5040/2=2520

There are 2520 ways you can arrange the word WHISKAS.

PART B

Let's think of the seven letter slots in the word. It doesn't matter where you place one of the S's, but a slot next to the first S you place only has one choice of letter, which is another S to make it adjacent. This means that one  specific slot is required to have an S. If we start off filling in our required one with an S, we have six letters left to fill in our other slots, which will give us a result of 6!, which is 720 seven-letter words.

PART C

Now, we have to have A be the first term and H be the last. If we think of the seven letter slots, we have only one choice on the first one, which is A, and only one choice on the last one, which is H. This leaves us with 5! or 120 possibilities, but we also have to divide by two because we have two S's, so there are 60 seven-letter words you can make if the words must begin with A and end with H.

Have a wonderful day!

Hi, guys whoever can help me with this question and give me the right answer, I will award brainliest. Please give answer fast. Find the value of X

Answers

Answer:

X= 65

Step-by-step explanation:

180°-50°=130 (Angles on a straight line)

2x=130 ( Corrresponding Angle)

X= 130÷ 2

= 65

Hope this helps.

Answer:

x = 65

Step-by-step explanation:

In the bottom corner to find 2x you have to make an equation. So 180 - 50 = 130. 130 has the equal angle as 2x.

180 - 50 = 130

2x = 130

Simplify by dividing

2x = 130

/2       /2

x = 65

Solve the system using elimination 7x+2y=10 -7x+y=-16

Answers

Answer:

x=2, y=-2

Step-by-step explanation:

7x+2y=10

-7x+y=-16

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

0x + 3y = -6

Divide each side

3y/3 = -6/3

y = -2

Now find x

7x +2y = 10

7x + 2( -2) = 10

7x -4 = 10

Add 4 to each side

7x -4+4 = 10+4

7x= 14

Divide by 7

7x/7 = 14/7

x = 2

7x + 2y = 10-7x + y = -16

Since one equation has a 7x and and the other equation has a -7x,

when we add the equations together, the x's will cancel out.

So we have 3y = -6 and y = -2.

To find x, plug -2 back in for y in either of the two original equations.

I've chosen to plug -2 into the first equation to get 7x + 2(-2) = 10.

Solving from here, x = 2.

So our final answer is the ordered pair (2, -2).

Now, check your answer.

In which quadrant does the point (-23 , -10) lie? A. Quadrant II B. Quadrant IV C. Quadrant III D. Quadrant I

Answers

Answer:

C.Quadrant III

EXPLANATION:

IN THIRD QUADRANT THAT'S WHERE -NEGATIVE COORDINATES LIE

10 Points NEED AN ANSWER ASAP PLS SOLVE FOR THE VARIABLE.
1. 2X + 6 = 12

2. 5X - 15 = 3X + 4

Answers

Answer:

1. x = 3.

2. x = 9.5.

Step-by-step explanation:

1. 2x + 6 = 12

2x = 6

x = 3.

2. 5x - 15 = 3x + 4

5x - 3x = 4 + 15

2x = 19

x = 9.5.

Hope this helps!

Step-by-step explanation:

1).

2x + 6 = 12

Send the constant to the right side of the equation

That's

2x = 12 - 6

2x = 6

Divide both sides by 2

x = 3

2).

5x - 15 = 3x + 4

Group like terms

We have

5x - 3x = 15 + 4

Simplify

2x = 19

Divide both sides by 2

x = 19/2

Hope this helps you

Aaron covers 300 miles in 6 hours, what's his average speed?​

Answers

Answer:

50mph

Step-by-step explanation:

Speed=v

time=t

distance=s

v=s/t

v=300m/6h

v=50mph

Let me know if my answer is wrong.

Hope this helps :) ❤❤❤

Answer:

[tex]\boxed{Speed = 50 miles/hr}[/tex]

Step-by-step explanation:

Given:

Distance = S = 300 miles

Time = t = 6 hours

Required:

Average Speed = v = ?

Formula:

Average Speed = Total Distance Covered / Total Time Taken

Solution:

v = S/t

v = 300 miles / 6 hours

v = 50 miles/hr

If 6 is subtracted from 3 times a certain number, the result is 84. Find the number.

Answers

Answer:

30

Step-by-step explanation:

So to do this you would set up the equation [tex]3x-6=84[/tex] than you would add 6 to both sides so you would get [tex]3x=90[/tex] than you would divide 3 from both sides so [tex]x=30[/tex] and that is the final answer which is correct

3x-6=84
3x=90
x=30
The number is 30.

What is the measure of XZ (the minor arc)?

A. 116
B. 290
C. 244
D. 58

Answers

Answer:

D

Step-by-step explanation:

The required measure of XZ (the minor arc) is 116. Option A is correct.

In the figure, a circle gave with 3 arc divisions XY, YZ, and XZ. And angle 58 at point y.

What is a circle?

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by. (x-h)²+(y-k)²=2 where h, k is the coordinate of the circle's center on the coordinate plane and r is the circle's radius.


Since by the property of the circle the angle subtended by arc to the vertex corresponding to the center is half the measure of the angle subtended by the arc to the center.
so, let the center of the circle is o.
Now,
measure of XZ = 2 * 58
                         =  116

Thus, the required measure of XZ (the minor arc) is 116.

Learn more about circle here:

brainly.com/question/11833983

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Complete the table to determine the effect of the number of compounding periods when computing interest. Suppose that is19,000 invested at 3.5% interest for 10yr under the following compounding options. Round answers in the second column to the nearest whole number. Round answers in the last column to the nearest cent.

Answers

Answer: 26801.38

Step-by-step explanation:

The following parameters are given:

The money invested which is

The principal P = 19000 dollars

The rate R = 3.5 %

Period t = 10 years

The formular for amount of money after 10 years will be

A = P( 1 + R% )^t

Substitute all the parameters into the formula

A = 19000( 1 + 3.5/100 )^10

A = 19000 ( 1 + 0.035 )^10

A = 19000 ( 1.035 )^10

A = 19000 × 1.41059

A = 26801.376

A = 26801.38 dollars

What is the difference between a Rate and a Ratio? Explain

Answers

Answer:

The difference is that a rate is a comparison of two numbers with different units, whereas a ratio compares two numbers with the same unit. For example, in a room full of students, there are 10 boys and 5 girls.

What number should replace the ?

Answers

Answer:

94

Step-by-step explanation:

There is a common pattern.

4² = 16

Switch digits 16 ⇒ 61

5² = 25

Switch digits 25 ⇒ 52

6² = 36

Switch digits 36 ⇒ 63

7² = 49

Switch digits 49 ⇒ 94

94 if you match the pattern

Rectangle has DEFG vertices D(-6, -5), E(-6,-2), F(-2,-2) and G(-2, -5). The figure is first translated 3 units up and then rotated 90 degree clockwise about the origin. What is the shape of the figure after this sequence of transformations?

Answers

Answer:

  a rectangle

Step-by-step explanation:

Translation and rotation are rigid transformations. They do not change the shape or size. The figure is still a rectangle after these transformations.

Alice is building a caterpillar habitat for some caterpillars she found in her back yard. She plans to cover all sides of the habitat with screen so the caterpillars get plenty of fresh air. What is the total amount of screen that Alice will need for her habitat? Give an exact answer (do not round).

Answers

Answer:

3.04 m²

Step-by-step explanation:

Surface Area =0.8x0.4 = 0.32 (two of these - one on each end)

1x0.4=0.4 (two of these - top and bottom) (Strange to cover bottom with screen, but have to follow the directions.)

1x0.8=0.8 (two of these - front and back)

TOTAL = 0.32+0.32+0.4+0.4+0.8+0.8=3.04

Total amount of screen that Alice will need for her habitat is 3.04 meter square

What is Surface area?

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Given,

Dimensions of the Caterpillar habitat is,

Width w=1 meter

Length l= 0.4 meter

Height h= 0.8 meter

Surface area = 2lw+2lh+2hw

=2×0.4×1+2×0.4×0.8+2×0.8×1

=0.8+0.64+1.6

=3.04 meter square

Hence, Total amount of screen that Alice will need for her habitat is 3.04 meter square

Learn more about Surface area here

https://brainly.com/question/2835293

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if the edges of the base of a rectangular prism are 8 cm and 6 cm, and the diagonal is 10√2, what is the volume of the solid?

Answers

Answer:

221.12 cm^3

Step-by-step explanation:

Imagine that you have the 6cm side of the prism base facing you, and that you cut the prism in half through the vertex.  Doing this will form two triangles.  The hypotenuse of the triangle is the same as the "diagonal" that is 10√2 cm.  The base of this triangle is half of the 6" side, or 3 cm.

Use the Pythagorean Theorem to determine the height (h) of the prism:

h^2 + 3^2 = (10√2)^2, or

h^2 = 200-9 = 191

Then the height is √191 cm

and the base area is 6cm times 8 cm, or 48 cm^2

and so we end up with the volume V = (1/3)(base area)(height), or

                                                           V = (1/3)(48 cm^2)(√191 cm), or

                                                                  roughly 221.12 cm^3

Find what x equals: |3x–1|=4

Answers

Answer:

x = 5/3                    x = -1

Step-by-step explanation:

|3x–1|=4

The solution to an absolute value equation has a positive and a negative solution

3x-1 =4    3x-1 = -4

Add 1 to each side

3x-1+1 = 4+1      3x-1+1 = -4+1

3x =5                 3x = -3

Divide by 3

3x/3 = 5/3           3x/3 = -3/3

x = 5/3                    x = -1

Answer:

x=1 2/3,x=-1

Step-by-step explanation:

There are two solutions. In the first solution, 3x=4-1=4 so x=1 2/3

The second solution is when 3x-1 equals negative 4 but because of the absolute value, is positive 4. In this case, it would be x=-1

Use the graph to find the value of y = sin q for the value of q.

Answers

Answer:

c

Step-by-step explanation:

Martin uses 8 5/8 of a gallon of paint to cover 4/5 of a wall. What is the unit rate at which Martin paints in walls per gallon?

Answers

Answer: 32/345 wall per gallon

Step-by-step explanation:

Rate is defined as ratio between two quantities with different units.

Gallons of paint used by Martin = 8 5/8 gallons = 69/8 gallons

Portion of wall Martin wishes to pint = 4/5 wall

Rate at which Martin paints the wall:

= Portion of wall covered / paint used

=

4/5 / 69/8 = 32/345 wall per gallon

Answer:

Martin paints 0.093 walls per gallon of paint

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Amount of paint used by Martin = 8 5/8 of a gallon

Ratio of wall painted by Martin with 8 5/8 of a gallon = 4/5

2. What is the unit rate at which Martin paints in walls per gallon?

Let's convert the mixed fractions to decimals this way:

8 5/8 = 8 + 0.625 = 8.625

4/5 = 0.8

Now, let's use the Direct Rule of Three, this way:

Gallons                      Walls

8.625                          0.8

x                                   1

Solving for x :

0.8x = 8.625 * 1

x = 8.625/0.8

x = 10.78125

x = 10.8 (rounding to next tenth) gallons

For painting a wall, we will use 10.8 gallons of paint. Now, we can calculate the unit rate at which Martin paints in walls per gallon, this way:

Gallons                      Walls

10.8                               1

 1                                  x

Solving for x :

10.8x = 1

x = 1/10.8

x = 0.09259

x = 0.093 (rounding to the next hundredth) walls per gallon of paint

In how many ways can you put seven marbles in different colors into four jars? Note that the jars may be empty.

Answers

Answer: 16384

Step-by-step explanation:

Given: Total marbles = 7  (All are distinct)

Total jars = 4

Assume that, the jar is empty.

When we put marbles in the jar, we need to choose jar each time.

For each marble, total choices = Total jars = 4

Then, by using the fundamental counting principle,

The number of ways to put seven marbles in different colors into four jars =

[tex]4^7[/tex]

= 16384

Hence, the required number of ways =16384

Answer:

your answer is 16384

Step-by-step explanation:

have a nice day.

The number of members of an online community increases each month. The
function M(t) = N(1 + ) represents the number of members at month t, where
Nis the initial number of members and ris the rate of increase. Select the
correct statement.
O A. Nincreases each month.
B. The initial value is (1 + r).
C. The function is linear.
D. The value of Mis a product of Nand a factor that does not depend
on N.

Answers

The correct answer is D

Write an equation of the line passing through the given point and satisfying the given condition. Give the equation (a) in slope-intercept form and (b) in standard form.
(8,6); perpendicular to 2x - y = 4
(a) Write the equation of the line in slope-intercept form.

Answers

Answer:

y =  -[tex]\frac{1}{2}[/tex]x + 10

Step-by-step explanation:

To find the equation of a line that passes through the point (8,6) and perpendicular to the equation 2x - y = 4, we will follow the steps below:

first write the equation 2x - y = 4 in a standard form

we will find the slope of our equation using this equation

2x - y = 4

y = 2x -4

comparing the above with

y = mx  + c

m = 2

[tex]m_{1}[/tex][tex]m_{2}[/tex] = -1  ( slope of perpendicular equations)

2[tex]m_{2}[/tex] = -1

[tex]m_{2}[/tex]  = -1/2

our slope m = -1/2

We can now go ahead and form our equation

[tex]x_{1}[/tex] =8   [tex]y_{1}[/tex] =6

y-[tex]y_{1}[/tex] = m (x-[tex]x_{1}[/tex])

y-6 = -[tex]\frac{1}{2}[/tex](x-8)

y-6 =  -[tex]\frac{1}{2}[/tex]x + 4

y=  -[tex]\frac{1}{2}[/tex]x+4+6

y =  -[tex]\frac{1}{2}[/tex]x + 10

What is the value of the expression

Answers

Answer:

6

Step-by-step explanation:

2(7)-(-4)/3

(14+4)/3

18/3

=6

If it's right can i get brainliest.

Answer:

D) 6

Step-by-step explanation:

Plug in the values of a & b

[tex]\frac{/2a/-b}{3}= \frac{/2*7/-[-4]}{3}\\\\=\frac{/14/ + 4}{3}\\\\=\frac{14+4}[3}\\\\=\frac{18}{3}\\\\=6[/tex]

An arithmetic sequence is represented in the following table. Enter the
missing term of the sequence.

Answers

Answer:

387

Step-by-step explanation:

we can  use the formula y=-81+(x-1)13, because 13 is the common difference

then plug 37 in for x

you get y=-81+36(13)

which simplifys down to 387

Triangle DEF will be rotated 180° clockwise. Where will D’ be located?

a. (4, -7)
b. (-4, -7)
c. (-7, 4)
d. (-7, -4)

Answers

Answer:

a. (4, -7)

Step-by-step explanation:

Point D is at (-4,7).

Rule for a 180° rotation clockwise around the origin:

[tex](x,y)\rightarrow(-x,-y)[/tex]

Apply the rule to point D:

[tex](-4,7)\rightarrow(4,-7)\\\\\left \{ {{-4*-1=4} \atop {7*-1=-7}} \right.[/tex]

Option A should be the correct answer.

Brainilest Appreciated.

Answer:

a. (4, -7)

Step-by-step explanation:

Which number is an irrational number?

Answers

Answer:

[tex]\boxed{\sqrt[3]{16} }[/tex]

Step-by-step explanation:

=> [tex]\sqrt[3]{16}[/tex] is an irrational number because it cannot be written as the form [tex]\frac{p}{q}[/tex] which is the basic requirement of being a rational number.

=> [tex]\sqrt{100}[/tex] = 10 (A rational number because it's a whole number)

=> 1/8 (Rational as it is in the form p/q)

=> -2.2675 (Rational because it is an integer)

Answer:

[tex]\boxed{\sqrt[3]{16} }[/tex]

Step-by-step explanation:

An irrational number cannot be expressed in the form p/q, where p and q are whole integers.

[tex]\sqrt{100} =10[/tex]

[tex]\frac{1}{8} =0.125[/tex]

[tex]-2.2675= - \frac{907}{400}[/tex]

[tex]\sqrt[3]{16} \approx 2.51984209979... \neq \frac{p}{q}[/tex]

[tex]\sqrt[3]{16}[/tex] is an irrational number.

The table of values shows the number of minutes since Raul got online at an Internet cafe and the total amount he paid up until that point. If x is the number of minutes since Raul got online and y is the total amount he paid in dollars, which equation models this situation? Number of Minutes Since Raul Total Amount Paid Got Online 0 min 4.00 2min 4.12 4min 4.24 6min 4.36 8min 4.48 answer choice A x = 0.06y + 4 B x = 0.12y + 4 C y = 0.06x + 4 D y = 0.12x + 4

Answers

Answer: C) ŷ = 0.06X + 4

Step-by-step explanation:

Given the following :

Number of minutes since Rahul got online :

0 - - - - - 2 - - - - - 4 - - - - - 6 - - - - - 8

Total amount paid :

4.0 - - - 4.12 - - - 4.24 - - - 4.36 - - - 4.48

Using the online regression calculator to create a linear model with number of minutes since Rahul got online on the x-axis and the total amount paid on the y-axis :

The linear model obtained is : ŷ = 0.06X + 4

With y being the predicted variable

X = values of the independent variable

0.06 = gradient or slope of the line

4 = intercept

Other Questions
Knapp Industries began business on January 1, 2018 by issuing all of its 1,450,000 authorized shares of its $1 par value common stock for $28 per share. On June 30, Knapp declared a cash dividend of $3.00 per share to stockholders of record on July 31. Knapp paid the cash dividend on August 30. On November 1, Knapp reacquired 290,000 of its own shares of stock for $33 per share. On December 22, Knapp resold 145,000 of these shares for $39 per share. Required: Prepare all of the necessary journal entries to record the events described above. Prepare the stockholders' equity section of the balance sheet as of December 31, 2018 assuming that the net income for the year was $7,000,000. Martin sent 3 emails on Wednesday 9 emails on Tuesday 27 emails on Friday 81 emails on Saturday 243 emails on Sunday. If the pattern continues how many emails will Martin sent on Monday... Explique cmo podemos hacer para trasladar una caja de 50 kg desde planta baja hasta un primer piso que presenta una inclinacin de 40, que tipo de mquina simple utilizara. what is an example of codominaces Determine the parent function. A fine-grained igneous rock forms Find the midline for f(x)=2cos(3x56)2 To bea votes one must be a resident &a for concert Ruoal Must Rality abebait complete the age of Write an advertisement, in Spanish, about an upcoming rock concert. Create fictional details about the band, the venue, and the date of the event. List the instruments and musicians, and describe the band, its music, and the kind of songs on the program. Try to use the future tense as much as possible. Which of the following was a result of the Japanese attack on the U.S. navalbase at Pearl Harbor? A printer can print 12 pages in 9 seconds. What is the closest estimate of the number of pages it can print in one minute? Write an equation of the line that satisfies the given conditions. Give the equation (a) in slope-intercept form and (b) in standard form.Through (-2,4): perpendicular to x=8(a) The equation of the line in slope-intercept form is_____. Suppose a cube is given. How many different segments can be formed by connecting the vertices of the cube? Imagine you and your friend went to the beach on a picnic, where you see agroup of playful dolphins. Write a dialogue between you and your friendexpressing your delight in not more than 80 to 100 words. Sort the characteristic of new as objectivie The graph of an absolute value function has a vertex of (2,3) and crosses the x-axis at (1,0) and (5,0). What is the equation for this absolute value function when y=0? A 0=|x+2|+3 B 0=|x2|+3 C 0=|x+2|+3 D 0=|x2|+3 find the truth set of 2x-65(3-x) DNA is very small, one complete turn of a DNA helix is about _______. The formula for the simple deposit multiplier is :______a. Simple Deposit Multiplier = 1/RRb. Simple Deposit Multiplier = 1/1-RRc. Simple Deposit Multiplier = -RR/1-RRd. Simple Deposit Multiplier = (1-RR)/RRIf the required reserve ratio is 0.15, the maximum increase in checking account deposits that will result from an increase in bank reserves of $5,000 is $________ draws conclusions about the nutritional relationships that exist between fox, rabbit and lettuce