MATHEMATICS HIGH SCHOOL

4. What is the unit rate for a pound of seed? Circle the correct answer choice.Pounds of Seed
10
20
Total Cost
$17.50
$35.00
$52.50
$70.00
30
40
$3.50
$1.75
$17.50
$7.25

Answers

Answer 1

Answer:

Answer: B) $1.75

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

Explanation:

To get the unit cost, we divide the total cost over the number of pounds.

We can do this for any row

row one: ($17.50)/(10) = $1.75
row two: ($35.00)/(20) = $1.75
row three: ($52.50)/(30) = $1.75
row four: ($70.00)/(40) = $1.75

You don't need to show all four row calculations. You can simply pick one row.

This tells us that each pound costs $1.75

Put another way: the price is $1.75 per pound

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you pay 3.3 cents per minute for long-distance phone calls on your phone. your phone bill is $3.40 write and solve an equation to find the number of minutes m of long-distance calls you made

Answers

If you would like to know the number of minutes of long-distance calls you made, you can calculate this using the following steps:

3.3 cents = $0.033
m = $3.40 / 3.3 cents
m = $3.40 / $0.033 = 3.40 / 0.033
m = 103.03 minutes

The correct result would be 103.03 minutes.

During a clothing store’s Bargain Days, the regular price for T-shirts is discounted by $5. There is a state sales tax of 5%, and the $5 discount is applied before the sales tax is calculated.a. Write an expression that shows the regular price r of a T-shirt minus the $5 discount.

b. Write a rule for the function p(r) that expresses the final price p of a T-shirt with the discount applied and sales tax added.

c. How much would you pay during Bargain Days for a shirt regularly priced at $15.50?

Answers

Answer:

Let the regular price of the t shirt be = r

Let the total cost of the t shirt be = t

So, we can say : $t=r-5$

$p(r)=1.05(r-5)$

Substituting r = 15.50

$p(r)=1.05(15.50-5)$

=> $p(r)=1.05(10.50)$

= $11.025

a) d = r - 5 where t is the full price
b) p = ( r - 5 ) * 1.05
c) p = (15.5-5)*1.05 = 10.5 * 1.05 = $ 11.02

(Need ASP)Divide.

(4x3+2x+1)÷(x+1)

4x2−4x+6+5x+1

4x2+4x−6−5x+1

4x2−4x+6−5x+1

4x2+4x+6−5x+1

Answers

4x2+4x−6−5x+1 is the solution for (4x3+2x+1)÷(x+1)

What is Division?

A division is a process of splitting a specific amount into equal parts.

We need to solve,

(4x3+2x+1)÷(x+1)

We use Synthetic division, Synthetic division is a shorthand method for dividing a polynomial by a linear factor such as x + 3, and it's much simpler and faster.

Step 1: Set up the synthetic division.

Step 2: Bring down the leading coefficient to the bottom row.

Step 3: Multiply by the value just written on the bottom row.

Step 4: Add the column created in step 3.

We get 4x2+4x−6−5x+1.

To learn more on Division click:

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#SPJ2

Answer:

Step-by-step explanation:

(4x^3+2x+1)÷(x+1)

Using synthetic division is

4x^2-4x+6- 5/x+1

640, 160, 40, 10, ...Which correctly describe the graph of the geometric sequence? Check all that apply.

The graph will show exponential growth.

The graph will appear linear.

The domain will be the set of natural numbers.

The range will be the set of natural numbers.

The graph will show exponential decay.

Answers

Answer:

Option 3 and 5 are correct

Step-by-step explanation:

We have given a geometric series 640,160,40,10....

Common ratio of geometric series is $r=(a_2)/(a_1)$

$r=(160)/(640)=(1)/(4)<0$

Here our common ratio is less than zero

It will show the graph of exponential decay

Hence, option 5 is correct.

The general term of geometric series is $a_n=a\cdotr^(n-1)$

Domain will be all natural numbers since, geometric series take only natural numbers.

Here, values of "n" is domain

Hence, option 3 is correct.

Range can be any positive real numbers not only natural number

Range is the value of $a_n$

Hence, option 4 is discarded.

Graph can not be linear of a geometric series being exponential

Hence, option 2 is discarded.

Option 1 is discarded because it is exponential decay function so it can not be exponential growth.

Therefore, Option 3 and 5 are correct.

Answer:

The options that hold true are:

The domain will be the set of natural numbers.

The graph will show exponential decay.

Step-by-step explanation:

We are given a geometric sequence as:

640, 160, 40, 10, ...

Clearly we see that each term is decreasing at a constant rate as compared to it's preceding term.

Hence, the graph formed by this sequence will be a exponential graph with decay .

( since, the terms of the sequence are decreasing)

The sequence could be modeled as:

Let $a_n$ represents the nth term of the sequence.

Hence,

$a_n=640\cdot (1)/(4^(n-1))$

As, the sequence is geometric hence the domain will be a set of natural numbers.

but the range will be positive real numbers.

Hence, the correct option is:

The domain will be the set of natural numbers.

The graph will show exponential decay

Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. X2 (y Ă˘â‚¬"" 3)2 = 36 x2 (y Ă˘â‚¬"" 5)2 = 6 (x Ă˘â‚¬"" 4)Ă‚Ë› yĂ‚Ë› = 36 (x 6)Ă‚Ë› yĂ‚Ë› = 144 x2 (y 8)2 = 36.

Answers

The general equation of a circle is $(x-h)^2+(y-k)^2=r^2$ . The two options are option(A) and option(E).

Given,

There are five options in which five equation of the circle is given.

We have to find the two equations of the circle which have the diameter of 12 units and its center lies on the y-axis.

The general equation of circle.

the general equation of circle having radius of r units and (h,k) as center of circle is given as,

$(x-h)^2+(y-k)^2=r^2$

We also know that for the center to lie on y-axis, the value of h becomes 0.

So, the equation will be,

$(x)^2+(y-k)^2=r^2$

Now, it is clear from all the options that option(A) option(C) and option(E) has radius of 6 units, so neglecting all the other options.

Clearly, in option(c) the center doesn't lie on the y-axis.

so this can't be the required equation.

Therefore, the two options will be option(A) and option(E).

For more details on equation of circle follow the link:

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The mean weight of trucks traveling on a particular section of I-475 is not known. A state highway inspector needs an estimate of the population mean. He selects and weighs a random sample of 49 trucks and finds the mean weight is 15.8 tons. The population standard deviation is 3.8 tons. What is the 95% confidence interval for the population mean?