The graph of [tex]y= \sqrt[3]{x} [/tex] was shifted 5 units down and 4 units to the left. What is the equation of the resulting graph?

Please answer quickly!

Answers

Answer 1

Using translation concepts, it is found that the equation of the resulting graph is given by:

[tex]y = \sqrt[3]{x + 4} - 5[/tex]

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the changes are given as follows:

Shift down of 5 units, hence y -> y - 5.Shift left of 4 units, hence x -> x + 4.

Hence the equation of the resulting graph is given by:

[tex]y = \sqrt[3]{x + 4} - 5[/tex]

More can be learned about translation concepts at https://brainly.com/question/4521517

#SPJ1

Answer 2
Final answer:

The equation of the graph \\sqrt[3]{x} shifted down by 5 units and to the left by 4 units is \\sqrt[3]{x + 4} - 5.

Explanation:

The transformation of the graph of y = \\sqrt[3]{x} down by 5 units and to the left by 4 units is represented by the function y = \\sqrt[3]{x + 4} - 5. When a graph is shifted to the left by 'a' units, we replace 'x' in the equation with (x + a). Similarly, when a graph is shifted down by 'b' units, we subtract 'b' from the function, resulting in f(x) - b. Therefore, incorporating both transformations into the original function, we get y = \\sqrt[3]{x + 4} - 5.

Learn more about Graph Transformation here:

https://brainly.com/question/19040905

#SPJ11


Related Questions

help me with this and I will give you brainly

Answers

DE is congruent to NP

Which of the following statements best describes the graph of x + y = 4?

It is a line which intersects the x-axis at (4, 4).
It is a line which intersects the y-axis at (4, 4).
It is a line joining the points whose x- and y-coordinates add up to 8.
It is a line joining the points whose x- and y-coordinates add up to 4.

Answers

The last one is the only one that will work.
For the first one the y intercept is when x = 0. The point would be 0,4

The second one gives a point of (4,0)

The third one is nonsense. (4,4) is not on this line.

PLEASE HELPPPPPP

Photo necessities produces camera cases. They have found that the cost , c (x) of making x camera cases is a quadratic function in terms of x.

The company also discovered that it cost $45 to produce 3 camera cases $257 to produce 7 camera cases and $792 to produce 12 camera cases.


Find the total cost producing 1 camera case

Answers

The first thing you should know is that to define a quadratic function you need three points.
 In this case the points will be:
 (3. 4. 5)
 (7, 257)
 (12, 792)
 The equation of the quadratic function in this case will be:
 c (x) = 6x ^ 2 - 7x + 12
 Therefore for x = 1 we have:
 c (1) = 6 * (1) ^ 2 - 7 * (1) + 12
 c (1) = 11 $
 Answer:
 Total cost producing 1 camera case is:
 c (1) = 11 $
Answer:

The total cost producing 1 camera case is:

                            $ 11

Step-by-step explanation:

Let the quadratic function be:

[tex]c(x)=ax^2+bx+c[/tex]

Now, c(3)=45

This means:

[tex]9a+3b+c=45------------(1)[/tex]

c(7)=257

This means that:

[tex]49a+7b+c=257----------------(2)[/tex]

and c(12)=792

This imply:

[tex]144a+12b+c=792-------------------(3)[/tex]

On subtracting first equation from second we get:

[tex]40a+4b=212------------(4)[/tex]

and on subtracting second equation from third we get:

[tex]95a+5b=535-----------(5)[/tex]

Now on multiplying equation (4) by 5 and equation (5) by 4 and subtracting both equation we get:

a=6

Putting value of a in equation (4) we get:

b= -7

and putting the value of a and b in equation (1) we get:

c=12

Hence, the cost function is:

[tex]c(x)=6x^2-7x+12[/tex]

Now, the cost of producing 1 camera will be the value of c(x) when x=1

i.e.

[tex]c(1)=6-7+12\\\\\\c(1)=11[/tex]

                 Hence, the answer is:

                        $ 11

A bag contains 2 red marbles, 3 blue marbles, 4 yellow marbles, and 3 green marbles. In how many ways can choosing not yellow occur?

Answers

There will be 8 ways to not pick yellow because there are 4 yellow and 3 green and blue and 2 red
[tex]3 + 3 + 2 = 8[/tex]

Carol payed 271$ to rent a car for 4 days. What was the rate, r, per day to rent the car

Answers

The rate is the amount of money or whatever it takes to do a certain task per unit time. We can divide the money by the time, to get: 271/4 = 67.75 $/days. That's the rate!

The radius of a sphere is 6 inches. Find the length of a chord connecting two perpendicular radii

Answers

i think not to sure

6 sqrt 2

Answer:

Hence, the length of the chord joining two perpendicular radii is:

6√2 inches.

Step-by-step explanation:

Let r denote the radius of circle.

i.e. r=6 inches.

Let AB be the chord that connects two perpendicular radii i.e. OA and OB whose lengths are given to be 6 inches.

We can apply pythagorean theorem to find the length of the chord.

[tex]AB^2=OA^2+OB^2\\\\AB^2=6^2+6^2\\\\AB^2=36+36\\\\AB^2=72\\\\AB=\sqrt{72}\\\\AB=6\sqrt{2}[/tex].

Hence, the length of a chord connecting two perpendicular radii is:

6√2 inches.

Which expressions are polynomials?

Select each correct answer.

x – 1
5x²-√x
6+p
8x-z³

Answers

All but the second selection are polynomials.

A square root is the same as a (1/2) power. The variables in a polynomial must all have powers that are positive integers.

Answer:

5x²-√x

Step-by-step explanation:

1)6 +p

2) x-1

3) 8x-z3


4) 5x²-√x   --> has a root so it is not a polynomial


A geometry teacher asked Charlene to define “acute triangle.” Charlene said that an acute triangle is a triangle whose three interior angles have measures less than 90°90°. Is Charlene’s definition valid?

A.Yes, because no right triangles fit this definition.
B.No, because some scalene triangles fit this definition.
C.Yes, because this definition fits all acute triangles and does not fit triangles that are not acute.
D.No, because not all acute triangles fit this definition.

Answers

By definition we have to:
 Acute triangle - It is a triangle that has all acute angles. An acute angle is one whose degree of measurement is less than 90.
 Therefore, Charlene's definition is correct.
 Charlene said:
 triangle is a triangle whose three interior angles have measures less than 90 °
 Answer:
 C.Yes, because this definition fits all acute triangles and does not fit triangles that are not acute.

Answer:

C.Yes, because this definition fits all acute triangles and does not fit triangles that are not acute.

Step-by-step explanation:

A rectangular auditorium seats 13201320 people. the number of seats in each row exceeds the number of rows by 1414. find the number of seats in each row.

Answers

esssssskeeeeeeetit its litty gucci
Final answer:

The number of rows in the auditorium is 45, and each row has 59 seats.

Explanation:

This problem can actually be solved using Algebra. If we let 'x' represent the number of rows in the auditorium, then the number of seats in each row would be x + 14 (since the number of seats in each row exceeds the number of rows by 14). Since the total number of seats is 1320, we can now set up and solve an equation: x(x + 14) = 1320.

Solving the equation, we get [tex]x^2[/tex] + 14x - 1320 = 0. This can be factored to (x - 45)(x + 29) = 0. The positive solution is x = 45. Therefore, there are 45 rows in the auditorium.

Substituting x = 45 back to our original equation x + 14, we find out that there are 45 + 14 = 59 seats in each row.

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ2

1. Sketch and/or explain the evidence you created for the Pythagorean Theorem. Be sure to explain how each part related to the Pythagorean Theorem.

Answers

The Pythagorean theorem is the square of the length hypotenuse side of a right triangle equals the sum of the squares of the lengths of the other 2 sides. 

Answer:

u see the formula for the Pythagorean theorem is a^2 + b^2 = c^2 i hope this helps please mark as brainliest have a good day!!! :D Bye

Step-by-step explanation:

The largest doll is 12 inches tall. The height of each of the other dolls is
7
10

710
the height of the next larger doll. Write an expression involving a power for the height of the smallest doll. Then evaluate the expression to find the height of the smallest doll to the nearest tenth of an inch.

Answers

The first doll is 12 inches.
To get the next smallest doll (the second) we multiply 12 by 7/10.
To get the one after that (the third) we multiply 12 by 7/10 by 7/10
To get the one after that (the fourth) we multiply 12 by 7/10 by 7/10 by 7/10
and so on...

The height of each doll after the first will be multiplied by (7/10) raised to a power. Let's call n the number of the doll (first, second, third, ...). It might be easier to determine the power if we write it like this:

First Doll -> n =1 -> height = 12
Second Doll -> n=2 -> height = [tex](12)( \frac{7}{10}) ^{1} [/tex]
Third Doll -> n = 3 -> height = [tex](12)( \frac{7}{10}) ^{2} [/tex]
Fourth Doll -> n=4 -> height = [tex](12)( \frac{7}{10}) ^{3} [/tex]

Notice that the exponent of the fraction (7/10) is always one less than the value of n. This even works for the first doll. It's height is [tex](12)( \frac{7}{10}) ^{0} [/tex]

Thus, we have an expression for the height of the nth doll and it is [tex](12)( \frac{7}{10}) ^{n-1} [/tex]

The height of any doll can be found using this formula. Whatever the smallest doll is (the 10th, 27th, 99th, etc.) just use that number for n. Since we arrive at each height by multiplying the prior by (7/10) the heights form a geometric sequence.



Answer: with the problem you can see that

Smallest is 4.1 inches

Expression is 12 multiply by (7/10) to the power of 3

Answer:

Smallest is 4.1 inches

Expression is 12 multiply by (7/10) to the power of

15 points and brainliest for CORRECT answer.

Given: ABCD is a trapezoid,
AD = 10, BC = 8,
CK - altitude
Area of ∆ACD = 30.
Find: Area of ABCD

Answers

Since we know the area of ΔACD as well as the measurement of the base, we will use these to find the length of the altitude.  The formula for the area of a triangle is A=1/2bh.  Our area is 30 and our base is 10, so we have:
30=1/2(10)h
30=5h
Divide each side by 5:
30/5=5h/5
6=h
The height of the triangle is also the height of the trapezoid.  We can now find the area of the trapezoid.  The formula we need is A=1/2(B+b)h.  Substituting our numbers in, we have:
A=1/2(10+8)(6)=1/2(18)(6)=54
The area of the trapezoid is 54.

what is the solution to the following system?

5x+2y+z=4
x+2z=4
2x+y-z=-1


A. x = 0, y = 1, z = 2

B. x = 1, y = –1, z = 2

C. x = 1, y = 0, z = –1

D. x = 2, y = 1, z = 0

Answers

We solve the system by applying the following steps:
 1) Write two of the variables in terms of the third variable. For this case we write x, y in terms of z.
 2) Substitute the expressions in the first equation since it relates all the variables.
 3) Clear z.
 4) with the value of z, find x, y
 Answer:
 A. x = 0, y = 1, z = 2
 See attached image.
→→→A. x = 0, y = 1, z = 2

Di sediakan angka 4,5,6,7,8 dan huruf e,s,
f. Bila tidak boleh ada angka dan huruf yg sama, maka banyaknya.plat nomer yg dapat dibuat adalah

Answers

what does this even mean

If 2a+3b=12 and ab=6 find the value of 8a^3+27b^3

Answers

(2a + 3b)^2 = 4a^2 + 12ab + 9b^2 =
((4a^2 - 6ab + 9b^2) + 18ab) = 144
4a^2 - 6ab + 9b^2 = 144 - 18 ab

8a^3 + 27b^3 = (2a + 3b)(4a^2 - 6ab + 9b^2)
8a^3 + 27b^3 = (2a + 3b)*(144 - 18ab)
8a^3 + 27b^3 = 12 * (144 - 18ab)
= 12 * ( 144 - 18*6) since ab = 6
= 12 * (144 - 108)
= 12 * (36)
=  432 <<<<==== answer 

Find the slope of a parallel line to 5x+2y=6

Answers

I’m pretty sure the slope is -5/2

Answer: [tex]\dfrac{-5}{2}[/tex]

Step-by-step explanation:

We know that equation in intercept form is given by :-

[tex]y=mx+c[/tex] , where m is the slope of the line {Coefficient of x}

The given equation of a line : [tex]5x+2y=6[/tex]

First rewrite the given equation in intercept form , we get

[tex]2y=6-5x\\\\\Rightarrow\ y=\dfrac{1}{2}(6-5x)\\\\\Rightarrow\ y=\dfrac{-5}{2}x+\dfrac{6}{2}\\\\\Rightarrow\ y=\dfrac{-5}{2}x+3[/tex]

Comparing to the general intercept form , we have , the slope of the line = [tex]\dfrac{-5}{2}[/tex]

Since the slopes of two parallel lines is equal.

Therefore, the  slope of a parallel line to [tex]5x+2y=6[/tex] : [tex]\dfrac{-5}{2}[/tex]

peter makes $6 per hour doing yard work plus $10 every house if pter does yard work for 6 houses and receives a paycheck for $210 how many hours did he work

Answers

So the equation is 6x+10y=z and you can plug in y and z then it’s 6x+10*6=210. Simplifying can get you 6x=150 then divide by 6 to get 25.



The answer is 25 hours.

After calculating Peter's earnings from working on 6 houses, the remaining amount from his total paycheck indicates that he worked for 25 hours at his hourly wage of $6.

To determine how many hours Peter worked when he received a paycheck for $210, we need to consider his earnings per house and his hourly wage. Peter makes $6 per hour for doing yard work plus $10 for every house he does work on.

First, we calculate the total earnings from the houses he worked on. Since he did yard work for 6 houses, we multiply 6 houses by $10 per house:

6 houses times $10 per house = $60

Now, subtract the total earnings from houses from his total paycheck to find out how much he earned from hourly wages:

$210 (total paycheck) - $60 (earnings from houses) = $150 (earnings from hourly wage)

$150 / $6 per hour = 25 hours

So, Peter worked 25 hours doing yard work.

HELP PLEASE! Are the two triangles similar? How do you know?

Answers

No, they are both measuring a different degree range, I hope this helps

Answer:

The two triangles are similar by AAA

Step-by-step explanation:

we know that

If the two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent

Remember that

The sum of the internal angles of a triangle must be equal to [tex]180\°[/tex]

so

In the triangle CDE

Find the measure of angle E

[tex]m<C+m<D+m<E=180\°[/tex]

substitute the values and solve for m<E

[tex]60\°+53\°+m<E=180\°[/tex]

[tex]m<E=180\°-(60\°+53\°)=67\°[/tex]

The measures of internal angles triangle CDE are [tex]60\°-53\°-67\°[/tex]

In the triangle FGH

Find the measure of angle G

[tex]m<F+m<G+m<H=180\°[/tex]

substitute the values and solve for m<G

[tex]60\°+m<G+67\°=180\°[/tex]

[tex]m<G=180\°-(60\°+67\°)=53\°[/tex]

The measures of internal angles triangle FGH are [tex]60\°-53\°-67\°[/tex]

therefore

The two triangles are similar by AAA

helppppppppppppppppppppppppppp

Answers

√9 = 3

3 is a real number , a whole number , a rational number , an integer and a natural number ,

So last option is correct

Set of all natural numbers , set of all whole numbers , set of all integers, set of all rational numbers , set of all real numbers.

Brainliest + 15 points. Help please? Who's up for the challenge?

Answers

x + y = 5           and                  y = 3x - 1
 x - y = -3                          2x + y = 14

Solve using substitution.

First, isolate one variable.

x + y = 5
      x = 5 - y

Then, plug its expression into the other equation and solve.

     x - y = -3
5 - y - y = -3
   5 - 2y = -3
       -2y = -8
          y = 4

Next, plug your new value into one of the original equations to solve for the second variable.

x + y = 5
x + 4 = 5
      x = 1

Finally, check work with substitution.

x + y = 5   =>   1 + 4 = 5   <--True
x - y = -3   =>   1 - 4 = -3   <--True

Next.

        y = 3x - 1
2x + y = 14

         2x + y = 14
2x + (3x - 1) = 14
   2x + 3x - 1 = 14
           5x - 1 = 14
                5x = 15
                  x = 3

y = 3x - 1
y = 3(3) - 1
y = 9 -1
y = 8

y = 3x - 1   =>   8 = 3(3) - 1   =>   8 = 9 - 1   <--True
2x + y = 14   =>   2(3) + 8 = 14   =>   6 + 8 = 14   <--True

Answer:
4.
x = 1
y = 4

5.
x = 3
y = 8

Someone please help me with this, i'm a little confused :(

A guy-wire is attached to a pole for support. If the angle of elevation to the pole is 67 and the wire is attached to the ground at a point 137 feet from the base of the pole, what is the length of the guy wire (round to 2 decimal places)?

A) 58.15 feet

B) 143.40 feet

C) 148.83 feet

D) 350.62 feet

Answers

The answer is D, 350.62 feet. This is a right triangle problem. We are looking for the hypotenuse. We know that the angle between the hypotenuse and one of the legs is 67 and the length of that leg is 137 feet. We can say this length is the adjacent one to the 67 angle. 1/(sin67) = hypotenuse/adjacent. Therefore 1/(sin67) x 137 is the length of the hypotenuse.

Factor completely x^2 + 16.

(x + 4)(x + 4)
(x + 4)(x − 4)
Prime
(x − 4)(x − 4)

Answers

This is the  answer that i found (x4-81) hope it helps have a great day!

Answer: (x4-81) I searched it up..

Step-by-step explanation:

HELP FAST PLEASE!!
Martin simplified the composed function f(x)=sin(arctan x). His work is shown below. Step 1: f(x)=sinA, where A=arctan x and x = tanA
Step 2: tanA= opp/adj=x/1
Step 3: hypotenuse= square root of 1^2-x^2= square root of 1-x^2
Step 4: sinA=opp/hyp=x/squareroot 1-x^2
In which step did Martin make is first error?

Answers

We will evaluate Martin's work step by step:
 Step 1: 
 f (x) = sinA,
 where
 A = arctan x
 and
 x = tanA
 step 1 it's OK
 Step 2: 
 tanA = opp / adj = x / 1
 step 2 it's OK
 Step 3: 
 hypotenuse = square root of 1 ^ 2-x ^ 2 = square root of 1-x ^ 2
 step 3 it's NOT OK
 The correct form in this case is:
 hypotenuse = square root of 1 ^ 2 + x ^ 2 = square root of 1 + x ^ 2
 Answer:
 Martin did make his first mistake in Step 3.

Tyler has a rectangular garden that measures 10 m wide by 13 m long. he wants to increase the area to 208 m2 by increasing the width and length by the same amount. what will be the length (longer dimension) of the new garden?
a. 14 m wide
b. 15 m wide
c. 16 m wide
d. 17 m wide

Answers

10*13=130
(10+3)(13+3)=13*16=208
The length of the new garden is the 13+3 which is 16.
So c should be the right answer.

Before you make any payments to the organization handling your DMP (debt management plan) what should you do?

Answers

Answer:

"  A DMP allows you to deposit a set amount of money with a credit counseling organization each month, which is then strategically dispersed to your various creditors "

" DMPs are designed to help consumers work off their debt as quickly as possible by leaving these decisions largely to credit counseling professionals "

Before sending monthly payments to the organization handling your DMP, confirm with your creditors that they have in fact accepted the plan.

Before you make any payments to the organization handling your DMP (debt management plan) you should confirm with your creditors that they have accepted the plan.

What is  Debt Management Plan?

A Debt Management Plan is a laid-out framework for settling debts that is coordinated by a credit counseling organization. A certain amount of money is deposited with these organizations that help the debtor to offset his bills in a strategic manner.

So, before making any payments to the organization handling your DMP (debt management plan) you should confirm with your creditors that the plan for repayment is acceptable by them.

Learn more about the debt management plan here:

https://brainly.com/question/4701276

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Use the domain {, 1, 2, 4, 8, 16} and plot the points on the graph that would best satisfy the equation y = log2x.

Answers

I will determine the log base 2 of x for the x-values in the set {1, 2, 4, 8, 16}.

I will use these properties:

log base m of m^n = n,

Which written with the math editor is:

[tex]log_{m}m^n=n[/tex]

1) x = 1

1 = 2^0 =>

      [tex]log_{2}1=log_{2}2^0=0[/tex]

2) x = 2

2 = 2^1 =>

     [tex]log_{2}2 = log_{2}2^1=1[/tex]

3) x = 4

4 = 2^2 =>

     [tex]log_{2}4=log_22^2=2[/tex]

4) x = 8

8 = 2^3 =>

     [tex]log_28=log_22^3=3[/tex]

5) x = 12

16 = 2^4 =>

     [tex]log_216=log_22^4=4[/tex]

6) Now you can plot the points on the graph. The points that you have to plot are:

(1,0)
(2,1)
(4,2)
(8,3)
(16,4)

The length of a rectangle is 3 m longer than its width.
The area of the rectangle is 154m^2
What is the width of the rectangle?

___m

Answers

Sometimes when you're given dimensions that differ by some amount, it is easier to work with their average value. Let x represent the average of length and width of the rectangle. The length and width differ from this average value by 1.5 m. Then the area is
.. (x +1.5)*(x -1.5) = 154
.. x^2 -2.25 = 154
.. x^2 = 156.25
.. x = 12.5
The width is 1.5 m shorter than this, or 11 m.

_____
Solved in the conventional way, you are looking for factors of 154 that differ by 3. This means you have to find the factors of 154, or use the quadratic formula.
.. 154 = 1*154 = 2*77 = 7*22 = 11*14 (the pair we want)
Once you have the factorization of 154, you have the answer. No equations are necessary, really.

Would be glad if you answer my question!

Answers

Hey there! :D

With negative exponents, you make them into fractions to get rid of the negative. 

[tex] 3^{-2} = \frac{1}{3^2} [/tex]

Now, just square the bottom. 

[tex] \frac{1}{9} = \frac{1}{3^2} [/tex]

Next one. 

[tex] 2^{-2} = \frac{1}{2^2} [/tex]

Now, square the bottom. 

[tex] \frac{1}{4} = \frac{1}{2^2} [/tex]

Now, we have:

[tex] \frac{1}{9} + \frac{1}{4} [/tex]

Make a combine denominator of 36. 

[tex] \frac{1}{9} = \frac{4}{36} \\\\\frac{1}{4} = \frac{9}{36} [/tex]

Now, add them together. 

[tex] =\frac{13}{36} [/tex]

I hope this helps!
~kaikers

If lines l and m are parallel, then ∠2 and ∠3 are _______ angles.

alternate interior
corresponding
alternate exterior
same-side-interior

Answers

Answer=corresponding

Answer:

B) Corresponding

Step-by-step explanation:

Hello! The answer to this question is that <2 and <3 are corresponding angles.  If you know the definition of corresponding angles and how they appear on a figure such as this, you should have no problem answering these problems in the future. Hope this comes to your help!

2. Given the equation 2x – 3y + 4z =12, find the three intercepts for this plane and graph it below. Show your work. Please view the video “how to submit a part 2” for help on how to graph. (2 point for each intercept, 3 for the graph.) Answer:

Answers

Given the equation 2x-3y+4z=12, to calculate the intercepts we proceed as follows:
x-intercept:
To get x-intercept we let y=0 and z=0. The substitute these values in our equations follows:
2x+3(0)+4(0)=12
2x=12
hence:
x=12/2
x=6
therefore the x-intercept will be at point (6,0,0)

y-intercept:
To calculate for y-intercept we let x=0 and z=0 and substitute the values in the equation, here we shall have:
2(0)-3y+4(0)=12
solving for y we get:
-3y=12
hence:
y=12/(-3)
y=-4
therefore the y-intercept is at point (0,-4,0)

z-intercept:
To get the z-intercept we let x=0 and y=0, the we substitute the values in the equation as follows:
2(0)-3(0)+4z=12
solving for z we get:
4z=12
z=12/4
z=3
hence the z-intercept is at (0,0,3)
Other Questions
anna has a 10 foot long ladder that she is going to rest against a vertical wall along the bottom of a window still that is 8.5 feet above the ground. The safety code recommends that the angle the ladder makes with the ground be no greater than 65 degrees. Will the ladder be safe resting on the window still? Draw a diagram and show work to support your answer Dana wants to make two types of dog treats. She has 10 cups of peanut butter and 12 cups of flour. Her dog bone treat recipe uses 3 cups of peanut butter and 2 cups of flour to make one tray. A tray of her oatmeal dog treat recipe uses 1 cup of peanut butter and 4 cups of flour. She plans to sell trays of dog treats at the town festival and charge $6 for a tray of dog bone treats and $7 for a tray of oatmeal treats. Dana wants to maximize her income from selling the dog treats. When writing constraints for the problem, what is the most reasonable definition for the variables x and y?A) Let x represent the number of cups of peanut butter used and y represent the number of cups of flour used. B) Let x represent the number of cups of peanut butter used and y represent the number of trays of dog bone treats made. C) Let x represent the number of dog bone treats made and y represents the number of cups of flour used. D) Let x represent the number of trays of dog bone treats made and y represent the number of trays of oatmeal dog treats made. "My teacher's name is Toyota" in Japanese is "________wa Toyota desu." to the nearest tenth of an inch how long is the foit of a person who wears a size 10 1/2 A college professor's compensation package includes the total cost of a $325-per-month health insurance plan, the total cost of a $65-per-month life insurance plan, and a salary of $62,000 per year. What is the yearly value of the compensation package? A total of 757 tickets were sold for the school play. They were either adult tickets or student tickets. There were 57 more student tickets sold than adult tickets. How many adult tickets were sold? What was the difference between Darwin and Lamarck List the six areas of enculturation that are learned throughout a person's lifetime? Solve 8x^2+5=35Round to the nearest hundredth.The solutions are___ and ___Thanks! I need help with this one. HELP ASAP.What events influenced the growth of the environmental movement in the United States? Why did the environmental movement attract many of the same people who had participated in other movements? Do you think the environmental movement has had a positive or negative effect on the United States? Which law would you use to simply the expression 3^10/3^4 (ENVIRONMENTAL SCIENCE NOT PHYSICS) 7. gradually taking over farmland over a long period of time is known as commodities. True or False8. The 2002 farm bill gives money to farmers who grow crops like wheat and soybeans but not to fruit and vegetable farmers. True or False9. some farmers have been selling their land to developers because it is more cost efficient to do so than to grow crops. True or False10. The FBI regulates the use of pesticides in agricultural crops. True or False Which is a correct classification for the triangle? A. Acute triangle B. Obtuse triangle C. Equiangular triangle D. Right angle Which Value of t makes the following true -16+t A subject is given a sugar pill and is told it may treat anxiety. this person may experience: A)informed consent B)control C)the placebo effect D)randomization A certain recipe calls for 2 1/3 cups of sugar, how much sugar is needed to make 1/3 of the recipe? If the frequency of p^2 equals 0.49, what is the value of q?A. 0.3B. 0.009C. 1D. 0.7 (02.04 HC)List an example of how an ecosystem can be affected by weather patterns. Explain how ocean temperatures affect weather patterns. The great-grandson of a slave, I argued the case against "separate but equal" and against Brown v. Board of Education before the Supreme Court. I won. This was the beginning of a tremendous change in the United States. Who am I? Which BEST describes the ways the United States' tariff policies between 1816 and 1860 contributed to the South's secession and the Civil War? A) The United States' tariff policies caused Northern states to become jealous of Southern states' manufacturing power. B) The United States' tariff policies created a positive relationship between the American South and Britain. C) The United States' tariff policies favored Northern manufacturers and harmed Southern farmers. D) The United States' tariff policies made slavery illegal in the Southern states in the Union.