Mrs. Jacobson wants to order toy instruments to give as prizes to her music students. The table shows the prices for various order sizes.
25 Items 50 Items 80 Items
Whistles: [21.25] [36.00] [60.00]
Kazoos: [10.00] [18.50] [27.20]
a. What is the difference between the highest until price for whistles and the lowest
unit price for whistles?
b. What is the highest unit price per kazoo?
c. If Mrs. Jacobsen wants to buy the item with the lowest unit price, what item should
she order and how many of that item should she order?

Answer:

Volume ≈ 153.93804 cm^3

Rounded to the nearest whole number, the volume of the cone is approximately 154 cm^3.

Step-by-step explanation:

The measurement is the same for Charles and Jermod are lower quartile and upper quartile. Therefore, options C and D are the correct answer.

From the given dot plot.

The number of minutes Charles spent on homework.

15, 15, 20, 20, 25, 30, 30, 30, 30, 30, 45, 50, 55, 60, 60.

Here, lower quartile = 20

Upper quartile = 50

Median = 30

Range = 60-15

= 45

The number of minutes Jermod spent on homework.

15, 15, 15, 20, 20, 30, 35, 45, 45, 45, 50, 50, 55, 55.

Here, lower quartile = 20

Upper quartile = 50

Median = 45

Range = 55-15

= 40

Therefore, options C and D are the correct answer.

Learn more about the dot plot here:

brainly.com/question/22746300.

#SPJ1

Step 1

Write out the sequence

25000, 5000, 1000, 200, .....

Step 2

Determine the rule

The rule is divided by 5

25000, 5000, 1000, 200, 40, 8, 1.6, 0.32

The 8th term is 0.32

Answer:

5 more hours i think i might be wrong

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

950 miles

the problem states that Mr. Lopez drove 77 more miles so just add 873+77 to get 950 miles

The average rate of change for the interval from x =  7 to x =  8 is 35.  

To calculate the average rate of change for the interval from x =  7 to x =  8, we need to find the difference in y- values and divide it by the difference inx-values within that interval.

Let's calculate it step by step using the given table  

For the interval from x =  7 to x =  8  x1 =  7, y1 = -37  x2 =  8, y2 = -2   Difference in y- values Δy =  y2- y1 = -2-(- 37) =  35  

Difference inx-values Δx =  x2- x1 =  8- 7 =  1  

Average rate of change =  Δy/ Δx =  35/ 1 =  35  

Thus, the average rate of change for the interval from x =  7 to x =  8 is 35.   Note: It's important to mention that the values calculated then are grounded solely on the given data. Please  insure you  corroborate the  delicacy of the  handed data and  environment before using the answer in any important or critical  operations.

For more such questions on rate of change, click on:

https://brainly.com/question/25184007

#SPJ8

Answer:

d = -1/4 or -0.25

now that i helped you can you go follow my twitch KayduxTV

Step-by-step explanation:

Answer:

d= -1/4

Step-by-step explanation:

First: subtract 2d from each side so you end up with 4d-11/2=-13/2

Second: next add 11/2 to both sides so you end up with 4d=-1

last: divide each by 4 to get d by itself

your final amswer is d=-1/4

Step-by-step explanation:

\(3 \frac{3}{4} = \frac{3 \times 4 + 3}{4} = \frac{15}{9} \\ \)

Answer:

9^1 has a power of 1.  it evaluates to 9

Step-by-step explanation:

Answer:

-1 and -5

Step-by-step explanation:

Answer: To calculate the average cost per widget, we need to consider both the fixed costs and the variable costs.

Fixed costs: $34,000

Variable costs per widget: $5.00

Total costs = Fixed costs + (Variable costs per widget × Number of widgets)

Total costs = $34,000 + ($5.00 × 7,000)

Total costs = $34,000 + $35,000

Total costs = $69,000

Average cost per widget = Total costs / Number of widgets

Average cost per widget = $69,000 / 7,000

Average cost per widget ≈ $9.86

Therefore, the average cost per widget of producing 7,000 Wild Widgets is approximately $9.86.

Step-by-step explanation: :)

Using the inequality concept, the expression models the number of days Samuel can afford to rent while staying within his budget is 11x + 18 ≤  40

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

A rental car company charges $22 per day to rent a car and $0.08 for every mile driven

The maximum amount to spend = $80

Fixed charge per day $22

Charge per mile = $0.08

The inequality which represents the number of days Can be expressed thus :

(Charge per day × number of days) + (charge per mile × number of miles) ≤  80

22x + 0.08× 450 ≤ 80

22x + 36 ≤  80

Divided by 2 both sides of an inequality,

11x + 18 ≤  40

Hence, the required inequality expression is 11x + 18 ≤  40

Learn more about inequalities here :

brainly.com/question/20383699

#SPJ1

The function f(x) = 2x² - 7x + 10 is an odd function.

f(-x) = 2(-x)² - 7(-x) + 10

      = 2x² + 7x + 10

-f(x) = -[2x²- 7x + 10]

      = -2x² + 7x - 10

To determine whether the function f(x) = 2x² - 7x + 10 is even, odd, or neither, we compare f(-x) and -f(x).

1. f(-x) = 2x² + 7x + 10

2. -f(x) = -2x² + 7x - 10

To determine if f(-x) = -f(x) (even function), we substitute -x for x in f(x) and check if the equation holds.

1. f(-x) = 2x² + 7x + 10

         = f(x) (not equal to -f(x))

Since f(-x) is not equal to -f(x), the function is not even.

Next, to determine if f(-x) = -f(x) (odd function), we substitute -x for x in f(x) and check if the equation holds.

2. -f(x) = -2x² + 7x - 10

        = -(2x² - 7x + 10)

        = -(f(x))

Since -f(x) is equal to -(f(x)), the function is odd.

For more such questions on odd, click on:

https://brainly.com/question/2263958

#SPJ8

The number of times that 9 go into 28 is 3 times with a remainder of 1.

Given the divisor and dividend in the question;

28 ÷ 9

Set up the division problem in a long division format

divisor Γdividend

9Γ28

Divide 28 by 9, place the digit in the quotient on top of the division symbol.

   3

9Γ28

Multiply the newest quotient digit (3 )by the divisor (9)
   3

9Γ28

   27

Subtract 27 from 28

   3

9Γ28

   27

----------

      1

Therefore, the result of the division is 3 with a remainder o 1.

Learn more about long division here: https://brainly.com/question/28824872

#SPJ1

Answer:

x = -11

x = 62

Step-by-step explanation:

Given:

The range of a data set is the difference between its highest and lowest values.

The highest value of the given data set (excluding x) is 46.

The lowest value of the given data set (excluding x) is 5.

The difference between the highest and lowest values is:

⇒ 46 - 5 = 41

As the range is 57, x must be the actual highest or lowest value.

To find the value of x that makes it the lowest value of the data set, subtract the given range from the highest observed value of the data set:

⇒ x = 46 - 57 = -11

To find the value of x that makes it the highest value of the data set, add the given range to the lowest observed value of the data set:

⇒ x = 5 + 57 = 62

Therefore, the two values of x are -11 and 62.

i.  The position vector of X is 2b - a.

ii.  The position vector of Y is (3b + c)/4.

iii.  The ratio XY : Y Z is \(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\). Simplifying this expression will give us the final ratio.

i. To find the position vector x of point X, we can use the concept of vector addition. Since AB : BX = 2 : 1, we can express AB as a vector from A to B, which is given by (b - a). To find BX, we can use the fact that BX is twice as long as AB, so BX = 2 * (b - a). Adding this to the vector AB will give us the position vector of X: x = a + 2 * (b - a) = 2b - a.

ii. Similar to the previous part, we can express BC as a vector from B to C, which is given by (c - b). Since BY : YC = 1 : 3, we can find BY by dividing the vector BC into four equal parts and taking one part, so BY = (1/4) * (c - b). Adding this to the vector BY will give us the position vector of Y: y = b + (1/4) * (c - b) = (3b + c)/4.

iii. Z is the midpoint of AC, so we can find Z by taking the average of the vectors a and c: z = (a + c)/2. The ratio XY : YZ can be calculated by finding the lengths of the vectors XY and YZ and taking their ratio. Since XY = |x - y| and YZ = |y - z|, we have XY : YZ = |x - y|/|y - z|. Plugging in the values of x, y, and z we found earlier, we get XY : YZ =\(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\).

For more such questions on vector

https://brainly.com/question/15519257

#SPJ8

Answer:

D. Removeable

Step-by-step explanation:

ed2021

Answer:

It's actually C, infinite!

Step-by-step explanation:

Given:

The system of equations is

Required:

We want to find x-values and y-values

Explanation:

First add both equations

put value of x in any of equation

Final answer:

x-value is -13

y-value is 13

Answer:

X=5 y=-3

Step-by-step explanation:

Using the common factors of 266, the set of possible dimensions of the field are:

The dimensions of a rectangle include four sides, two lengths, and two widths.

The fencing is three-sided with a total width of 14 m (7 x 2) and a length of 38 m.  The total length of the fencing will be 52 m (14 + 38) while the area of the land is 266 m (38 x 7).

Thus, the dimensions that meet the criteria for the area and the length of fencing that Josiah has to do are based on the common factors of 266, which are 38 m in length and 7 m in width.

Learn more about dimensions at https://brainly.com/question/27404871

#SPJ1

To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

Answer:

Step-by-step explanation:

We can use the method of undetermined coefficients to solve this differential equation. First, we will need to find the solution to the homogeneous equation and the particular solution to the non-homogeneous equation.

For the homogeneous equation, we will use the form y"+ky=0, where k is a constant. We can find the solutions to this equation by letting y=e^mx,

y"=m^2e^mx -> (m^2)e^mx+k*e^mx=0, therefore (m^2+k)e^mx=0

(m^2+k) should equal 0 for the equation to have a non-trivial solution. Therefore, m=±i√(k), and the general solution to the homogenous equation is y=A*e^i√(k)x+Be^-i√(k)*x.

Now, we need to find the particular solution to the non-homogeneous equation. We can use the method of undetermined coefficients to find the particular solution. We will let yp=a0+a1x+a2x^2+.... As the derivative of a sum of functions is the sum of the derivatives, we get

yp″=a1+2a2x....yp‴=2a2+3a3x+....

Substituting the general solution into the non-homogeneous equation, we get

a0+a1x+a2x^2+...+2a2x+3a3x^2+...=Y(4)

So, the coefficient of each term in the expansion of the left hand side should equal the coefficient of each term in the expansion of the right hand side. Since there is only one term on the right hand side, we get the recurrence relation:

a(n+1)=Y(n-2)/n^2

From this relation, we can find all the coefficients in the expansion for the particular solution. Using this particular solution, we can find the total solution to the differential equation as the sum of the homogeneous solution and the particular solution.

The value of t for a t-distribution with 45 degrees of freedom such that the area to the right of t equals 0.010 is approximately -2.326.

With its bell-shaped structure and heavier tails, the t-distribution, commonly referred to as the Student's t-distribution, is a kind of probability distribution that resembles the normal distribution. When there are insufficient samples or unknown variances, it is used to estimate population parameters. T-distributions have broader tails than normal distributions because they are more likely to contain extreme values.

To find the value of t for a t-distribution with 45 degrees of freedom such that the area to the right of t equals 0.010, we can use a t-table or a calculator. Using a calculator, we can use the inverse t-distribution function. The inverse t-distribution function gives us the value of t for a given probability and degrees of freedom.

Using this function, we have:

t = invT(0.010, 45) ≈ -2.326

Rounding this to three decimal places gives us the answer:

t ≈ -2.326

Therefore, the value of t for a t-distribution with 45 degrees of freedom such that the area to the right of t equals 0.010 is approximately -2.326.

To learn more about t- distribution, refer to:

https://brainly.com/question/17469144

#SPJ4

Answer:

x=7

Step-by-step explanation:

Solution:

We know that:

Substitute the parallel side lengths and the height in the formula to find the area of the trapezoid.

Substituting the parallel side lengths and the height in the formula:

Simplifying the RHS:

Thus, the area of the trapezoid is 28 units².

\(\\ \rm\Rrightarrow Area=\dfrac{1}{2}(Sum\:of\: parallel\:sides)\times Height \)

\(\\ \rm\Rrightarrow Area=\dfrac{1}{2}(9+5)(4)\)

\(\\ \rm\Rrightarrow Area=14(2)\)

\(\\ \rm\Rrightarrow Area=28units^2\)

Answer:

z ≤ 25

Step-by-step explanation:

multiply each side by 3 to get:

8 - z ≥ 33

-z ≥ 25

z ≤ -25

(you have to switch the inequality symbol when dividing or multiply by a negative)

Answer:

\(\displaystyle \int\limits^5_1 {x^4(1 + 2x^5)} \, dx = \frac{9768748}{5}\)

General Formulas and Concepts:

Calculus

Differentiation

Derivative Property [Multiplied Constant]:                                                           \(\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)\)

Derivative Property [Addition/Subtraction]:                                                         \(\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]\)  

Basic Power Rule:

Integration

Integration Rule [Reverse Power Rule]:                                                               \(\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C\)

Integration Rule [Fundamental Theorem of Calculus 1]:                                     \(\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)\)

Integration Property [Multiplied Constant]:                                                         \(\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx\)

U-Substitution

Step-by-step explanation:

Step 1: Define

Identify

\(\displaystyle \int\limits^5_1 {x^4(1 + 2x^5)} \, dx\)

Step 2: Integrate Pt. 1

Identify variables for u-substitution.

Step 3: Integrate Pt. 2

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration