The graph shows the prices of different numbers of bushels of corn at a store in the current year. The table shows the prices of different numbers of bushels of corn at the same store for the previous year.

Part A: Describe in words how you can find the rate of change of a bushel of corn in the current year, and find the value. (5 points)
Part B: How many dollars more is the price of a bushel of corn in the current year than the price of a bushel of corn in the previous year? Show your work. (5 points)

The average speed is 68 miles per hour

The given parameters are:

Distance = 476 miles

Time = 7 hours

The average speed is calculated as:

Speed = Distance/Time

So, we have:

Speed = 476 miles/7 hours

Evaluate

Speed = 68 miles per hour

Hence, the average speed is 68 miles per hour

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The percentage discount on the item will be equal to 8%.

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

Given that:-

The percentage of the discount will be calculated as:-

Percentage discount = ( 17 - 16.64 ) / ( 17 )

Percentage discount= ( 1.36 ) / ( 17 )

Percentage discount = 0.08 x 100 = 8%

Therefore the percentage discount on the item will be equal to 8%.

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Answer:

the height: h=2,25

Step-by-step explanation:

volume of rectangular box = wide*long*the height

----> the height = volume of rectangular box / ( wide*long) = 2,25

give me 5 stars and hearts^^

The steps to draw all the three angles have been explained.

An angle is made by two rays that have one common end point known as vertex.

To make an angle congruent to the one given , the angle has to be copied

For making both ∠XYZ and∠ UVW , following steps will be followed.

Now to draw RST = ABC  + DEF

       The angle obtained will be RST.

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Answer:

True

Step-by-step explanation:

• Parallel lines have equal slopes

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

6x + 3y = 7 ( subtract 6x from both sides )

3y = - 6x + 7 ( divide terms by 3 )

y = - 2x + [tex]\frac{7}{2}[/tex] → in slope- intercept form

with slope m = - 2

y = - 2x + 3 ← is in slope- intercept form

with slope m = - 2

since both lines have equal slopes then they are parallel lines

Answer:

5

Step-by-step explanation:

Divide 200 by 40 to get 5.

Answer:

ig 5 Apples can be Brought with Rs. 200

Step-by-step explanation:

Rs. 40 = 1 apple

Rs. 200 = ? Apple

therefore 5 apples can be brought...

Hope it Helps!!!

Step-by-step explanation:

b l think so

Answer:

x=5 1/4 or 5.25

Step-by-step explanation:

11x2-4x=1

22-4x=1

22-1-4x=

21-4x=

21=4x

x=5 1/4 or 5.25

Answer:

Using the formula of quadratic equation, we find x = 0.534 and x = -0.17.

Step-by-step explanation:

It is a quadratic equation.

11x² - 4x - 1 = 0

Find the determinant of the quadratic equation.

D = b² - 4ac

D = 16 + 44

D = 60

One of the values of x will be

x = (-b+√D)/2a

x = (4+2√15)/22

x = 0.534

The second value will be

x = (-b-√D)/2a

x = (4-2√15)/22

x = -0.17

The two values of x, from the quadratic formula are 0.534 and -0.17.

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Answer:

D. X=1

Step-by-step explanation:

It's clear if you work through it just use substitution and you'll get the same answer yourself

The correct answer is option A which is  Observational study.

This is an example of an observational study because the biologist is not interfering or interacting with the subjects of the study but just watching and registering data (recording with cameras).

The biologist is not conducting an experiment because (he is not setting up special conditions to register different responses to drive conclusions), and the biologist is not making any survey (questionnaires for example).

Therefore the correct answer is option A which is  Observational study.

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Answer:

35 + 3x

Step-by-step explanation:

we mark the number of sets of laces as x, each pf those costs 3$, so in total - 3x$

we add that to the 35$ of the shoes and get:

35+3x

Answer:

80.6ft/s

Step-by-step explanation:

[tex]\frac{55mi}{h} * \frac{5280ft}{1 mi}* \frac{1h}{3600s} = 80.6ft/s[/tex]

Joe is correct as the unknown number is 6.

The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.

Given :

[tex](x^2)^?=x^4\times x^8[/tex]

Let the question mark exponent outside the bracket be y, which needs to be determined

[tex](x^2)^y=x^4\times x^8[/tex]

Simplify the equation by applying exponent rules to either side of the equation:

Apply the rule [tex](a^b)^c = a^{b \times c}[/tex]

[tex](x^2)^y=x^4\times x^8[/tex]

[tex](x)^{2y}=x^4\times x^8[/tex]

Now apply [tex]a^b \times a^c = a^{b+c}[/tex]

[tex](x)^{2y}=x^{4+8}\\\\(x)^{2y}=x^{12}[/tex]

So, the base is the same the exponent will be the same also,

2y = 12

y = 6

Hence, Joe is correct as the unknown number is 6.

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Answer:

-5x - 24

Step-by-step explanation:

3(2x − 8) – 11x =

Distribute the 3.

= 6x - 24 - 11x

Combine like terms.

= -5x - 24

Answer:

Step-by-step explanation:

Comment

The constant you want is just the reciprocal of the constant you have been given. You can show it this way

y = 11/2 z               Multiply both sides by 2

2y = 11z                 Divide both sides by 11

Answer

2/11 y = z

The value of y is 11 if the measure of the angle (x + 6y) is 90 degree and x = 24 option first is correct.

Lines that intersect at a right angle are named perpendicular lines. Lines that are always the same distance apart from each other known as parallel lines.

We have a perpendicular line shown in the picture.

The measure of the angle (4x - 6) is equal to 90 degree.

4x - 6 = 90

4x = 96

x = 24

Similarly, the measure of the angle (x + 6y) is equal to 90 degree:

x + 6y = 90

Plug x = 24

24 + 6y = 90

y = 11

Thus, the value of y is 11 if the measure of the angle (x + 6y) is 90 degree and x = 24 option first is correct.

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When a plane intersects a pyramid, the cross-section of polygon created is

To answer the question whe need to know what polygons are.

Polygons are shapes with 3 or more sides.

A pyramid a four-sided solid with triangular sides and a square base.

So, when a plane intersects a pyramid, the cross-section of polygon created is

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Answer:

A)  3%

B)  Product A

Step-by-step explanation:

Exponential Function

General form of an exponential function: [tex]y=ab^x[/tex]

where:

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

Part A

Product A

Assuming the function for Product A is exponential:

[tex]f(x) = 0.69(1.03)^x[/tex]

The base (b) is 1.03.  As b > 1 then it is an increasing function.

To calculate the percentage increase/decrease, subtract 1 from the base:

⇒ 1.03 - 1 = 0.03 = 3%

Therefore, product A is increasing by 3% each year.

Part B

[tex]\sf percentage\:change=\dfrac{final\:value-initial\:value}{initial\:value} \times 100[/tex]

To calculate the percentage change in Product B, use the percentage change formula with two consecutive values of f(t) from the given table:

[tex]\implies \sf percentage\:change=\dfrac{10201-10100}{10100}\times 100=1\%[/tex]

Check using different two consecutive values of f(t):

[tex]\implies \sf percentage\:change=\dfrac{10303.01-10201}{10201}\times 100=1\%[/tex]

Therefore, as 3% > 1%, Product A recorded a greater percentage change in price over the previous year.

Although the question has not asked, we can use the given information to easily create an exponential function for Product B.

Given:

[tex]\implies f(t) = 10100(1.01)^{t-1}[/tex]

To check this, substitute the values of t for 1 through 4 into the found function:

[tex]\implies f(1) = 10100(1.01)^{1-1}=10100[/tex]

[tex]\implies f(2) = 10100(1.01)^{2-1}=10201[/tex]

[tex]\implies f(3) = 10100(1.01)^{3-1}=10303.01[/tex]

[tex]\implies f(4) = 10100(1.01)^{4-1}=10406.04[/tex]

As these values match the values in the given table, this confirms that the found function for Product B is correct and that Product B increases by 1% per year.

Answer:

8

Step-by-step explanation:

this was actually in my book and it came in today's test as well but I got 14/20 and failed lol

Answer:

7/9     ( or  7:9)

Step-by-step explanation:

Children = 35

Total people = 35 + 10 = 45

ratio Children / total people =  35/45  = 7/9

D. √48 =√16*3 = 4√3

Simplify the radical by breaking the radicand up into a product of known factors.

16*3 = 48

this means that √48 = √16*3, but this can be simplified.

√16 = 4, √3 = √3 because it cannot be simplified farther

making the most simplified answer 4√3

The parabola with the minimum at (4, -3) is the third option:

[tex]y = 0.5*x^2 - 4x + 5[/tex]

Remember that for a parabola of the form:

[tex]y = a*x^2 + b*x + c[/tex]

If a > 0, the minimum is at the x-value of the vertex:

[tex]x = \frac{-b}{2a}[/tex]

If a < 0, there is no minimum (so we discard option 2).

Taking the third option:

[tex]y = 0.5*x^2 - 4x + 5[/tex]

The x-value of the vertex is:

[tex]x = \frac{-(-4)}{2*0.5} = 4[/tex]

As expected.

To get the y-value of the vertex (and minimum) we just evaluate the parabola equation in x = 4.

[tex]y = 0.5*(4)^2 - 4*4 + 5 = -3[/tex]

So the minimum is at (4, -3), as expected, so that is the correct option.

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Answer:

B. 1:18

Explanation Down Below

Step-by-step explanation:

Hello!

First, let's find the volume of each cylinder by plugging in the given values.

Volume of a Cylinder: [tex]V = \pi r^2h[/tex]

Since the variables are the same as given in the formula, we can just use the formula as the volume.

[tex]\implies{\boxed{{V = \pi r^2h}}[/tex]

We have to plug in 3r for the radius, and 2h for the height.

[tex]\implies \boxed{ V = 18\pi r^2h}[/tex]

We can see that the Volume of Cylinder B is just 18 times the Volume of Cylinder A, but we can find the same ratio using equations.

The answer is Option B. 1:18.

can u please tell if the figure is a right angled triangle??...cuz in order to find the perimeter, Pythagoras theorem must be applied but it's only for right angled triangle...so specify please

Answer:

210 seconds

Step-by-step explanation:

LCM of 5,6 and 7

Answer:

5

Step-by-step explanation:

1,2,4,8,16 total 5 factors

Answer:

81m^6 - 323 m^5 + 432m^4 - 192m^3

Step-by-step explanation:

Comment

If you are given choices, you should list them please. Otherwise we cannot be certain our answers are taken far enough.

The general formula for expanding a binomial raised to the third power is

(a - b)^3 = a^3 - 3a^2b + 3ab^2 - b^3

Solution

To modify the general formula to suit this problem, let

a = 3m

b = - 4

When that is done, the general equation becomes

(3m)^3 - 3* (3m)^2 * 4 + 3 * 3m * 4^2 - 4^3

(3m - 4)^3 = 27m^3 - 108 m^2 + 144m - 64

Multiply everything in the 4-nomial by 3m^3

(27m^3 - 108 m^2 + 144m - 64)3m^3

81m^6 - 323 m^5 + 432m^4 - 192m^3  which is your answer. I see why you didn't include it, with other (incorrect)  possibilities.