andrew has a cell phone plan that provides 300 free minutes each month fo a flat rate of $19 . for any minutes over 300, andrew is charged 0.39 per minute

Answer: 106

Step-by-step explanation:

because there is 106 headphones 106 people can get and there is 16 blankets 156 people can get so 106 people can get headphones and blankets  

Therefore , the solution of the given problem of unitary comes out to be the quantity of wood he will have leftover is 0.

By combining the information acquired and using this variable technique, which includes all supplemental data from two people who used a particular tactic, the task can be finished. In other words, if the desired result occurs, either the entity mentioned in the equation will be acknowledged, or both crucial processes will actually skip the colour. A refundable fee of Rupees ($1.01) may be needed for forty pencils.

Here,

Timmy can create a maximum of: Given that each photo frame requires 38 inches of wood,

=> 150 feet * 12 inches per foot / 38 inches per frame = 47.37 frames

Timmy can only create the largest integer less than or equivalent to 47.37, or 47 frames, because he is unable to create a fraction of a picture frame.

Timmy requires the following amount of wood in total to make these frames:

=> 47 frames * 38 inches/frame / 12 inches/foot = 150.67 feet

Timmy will therefore burn through 150 feet of his timber, leaving him with:

=> 150 feet - 150.67 feet = -0.67 feet

Timmy won't have enough wood to build a full additional frame because of this negative value, so the quantity of wood he will have leftover is 0.

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Using word problems and equations, Sarah worked for 10 hours and Penelope worked for 5 hours

This is a word problem and in order to solve this, we need to translate mathematical statements in form of word problems into mathematical equations.

Let's assume that Sarah worked x hours.

Given that Sarah can iron 30 shirts per hour, the total number of shirts she ironed is 30x.

Since Penelope worked half the hours of Sarah, Penelope worked x/2 hours.

Given that Penelope can iron 35 shirts per hour, the total number of shirts she ironed is 35 * (x/2) = (35/2)x.

The total number of shirts ironed by both Sarah and Penelope is 475 shirts.

So, we can write the equation: 30x + (35/2)x = 475.

To solve this equation, we can simplify it: (60/2)x + (35/2)x = 475, which becomes (95/2)x = 475.

Now, we can solve for x: x = (475 * 2) / 95 = 10.

Therefore, Sarah worked 10 hours and Penelope worked half of that, which is 5 hours.

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The pair of numbers that yields the maximum product when their sum is 24 is (12, 12), and the maximum product is 144. The corresponding quadratic function is P(x) = -x^2 + 24x, and the parabola opens downwards.

To find a pair of numbers whose sum is 24 and whose product is as large as possible, we can use the concept of maximizing a quadratic function.

Let's denote the two numbers as x and y. We know that x + y = 24. We want to maximize the product xy.

To solve this problem, we can rewrite the equation x + y = 24 as y = 24 - x. Now we can express the product xy in terms of a single variable, x:

P(x) = x(24 - x)

This equation represents a quadratic function. To find the maximum value of the product, we need to determine the vertex of the parabola.

The quadratic function can be rewritten as P(x) = -x^2 + 24x. We recognize that the coefficient of x^2 is negative, which means the parabola opens downwards.

To find the vertex of the parabola, we can use the formula x = -b / (2a), where a = -1 and b = 24. Plugging in these values, we get x = -24 / (2 * -1) = 12.

Substituting the value of x into the equation y = 24 - x, we find y = 24 - 12 = 12.

So the pair of numbers that yields the maximum product is (12, 12). The maximum product is obtained by evaluating the quadratic function at the vertex: P(12) = 12(24 - 12) = 12(12) = 144.

Therefore, the maximum product is 144. This quadratic function has a maximum value because the parabola opens downwards.

To graph the function, you can plot several points and connect them to form a parabolic shape. Here is an uploaded image of the graph of the quadratic function: [Image: Parabola Graph]

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Answer:

19 degrees

Step-by-step explanation:

Will have a triangle with horizontal distance being 2800, and vertical being 1000 feet. Angle between the horizontal and hypotenuse is what we are looking for.

Thus it's a tangent function.

SOH

CAH

TOA <-----

Tangent is the opposite / adjacent

So we will be looking at doing an Arctan to find the angle.

Arctan α = \(\frac{1000}{2800}\)  = 19.29 degrees. Round to the nearest whole degree would be 19 degrees due to being less than .50

Your answer is 19 degrees

Answer:

the anwser is A

Step-by-step explanation:

i understand

very well and i just took that lesson

maybe 61km from northeast

The factor of f(x) is (x + 9) and (x - 7+i).

Given that,

polynomial function f(x) has roots -9 and 7 - i.

So we can write this as

x = -9 and x = 7 - i

implies that

x + 9 = 0 and x -7 + i = 0

Therefore the factors of f(x) is (x+9) and (x-7+i).

A factor is a number that divides another number, leaving no remainder.

A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc.

Polynomial functions are expressions that may contain variables of varying degrees, non-zero leading coefficients, positive exponents, and constants.

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Answer:

Minimum weight = 23kg

Maximum weight= 34kg

Step-by-step explanation:

Find the lowest and highest weight

Answer:

See below ↓↓

Step-by-step explanation:

Answer:

câu này là 500 nhen

The linear model that could be used to calculate cost of mailing a large envelope is L(x) = 0.88 + 0.2(x – 1) and used to calculate cost of mailing a package is P(x) = 1.71 + 0.17(x – 3). The weight at which the cost a large envelope and a package will cost the same amount to mail is 17 ounces.

Linear models are used to describe a continuous response variable as a function of one or more predictor variables. Let x be the weight in ounces and L be the cost of mailing a large envelope. Based on the provided information, the cost of mailing a large envelope increases with increasing weight. The cost of mailing one ounce is $0.88 and increased by $0.2 for each additional weight. Hence,

L(x) = 0.88 + 0.2(x – 1)

Let x be the weight in ounces and P be the cost of mailing a package. Based on the provided information, the cost of mailing a package remains the same for weight of 1 to 3 ounces at the cost of $1.71, and then increases by $0.17 for each additional weight. Hence,

P(x) = 1.71 + 0.17(x – 3)

The weight at which a large envelope and a package will cost the same amount to mail is determined by equating the two models.

L(x) = P(x)

0.88 + 0.2(x – 1) = 1.71 + 0.17(x – 3)

0.88 + 0.2x – 0.2 = 1.71 + 0.17x – 0.51

0.68 + 0.2 x = 0.17 x + 1.2

0.2x – 0.17x = 1.2 – 0.68

0.03x = 0.52

x = 17.33 ≈ 17 ounces

Note: The question is incomplete. The complete question probably is: Provided table indicates the U.S. Postal Rates for large envelopes and packages of different weights. a) Create a linear model that could be used to calculate the cost to mail a large envelope, given its weight in ounces. Use L to represent the cost to mail a large envelope and x to represent the envelope weight in ounces. Create a linear model that could be used to calculate the cost to mail a package, given its weight in ounces. Use P to represent the cost to mail a package and x to represent the package weight in ounces. Find the weight at which a large envelope and a package will cost the same amount to mail, assuming your linear models still apply to higher weights.

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The correct answer is Graph 1: y = cos(x/4)Graph 2: y = cos(x/2)

Based on the given descriptions of the graphs and the patterns they follow, the correct pairs are:

Graph 1: y = cos(x/4) ⟶ This graph has a period of 8 units and matches the pattern described.Graph 2: y = cos(x/2) ⟶ This graph has a period of 4 units and matches the pattern described.

Graph 3: y = cos(x) ⟶ This graph has a period of 2π (or approximately 6.28 units) and matches the pattern described.

Graph 4: (Not used)

Graph 5: (Not used)

Please note that without visual representation, it's difficult to provide a definitive answer. The pairs are based on the descriptions provided and may vary depending on the actual shapes of the graphs.

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Answer:

Question 1 : Pierre is right

Question 2 : 0.85 (because 1 - 0.15 = 0.85)

Question 3 : Less than 1

Step-by-step explanation:

Answer:

(3x² - 6x + 11) - (10x² - 4x + 6) is equivalent to expression -7x² - 2x + 5

(-3x² - 5x - 3) - (-10x² - 7x + 2) is equivalent expression to 7x² + 2x - 5

(12x² + 6x - 5) - (5x² + 8x - 12) is equivalent expression to 7x² - 2x + 7

Step-by-step explanation:

✔️(3x² - 6x + 11) - (10x² - 4x + 6)

Open the bracket by applying the distributive property

3x² - 6x + 11 - 10x² + 4x - 6

Add like terms

-7x² - 2x + 5

Therefore:

(3x² - 6x + 11) - (10x² - 4x + 6) is equivalent to expression -7x² - 2x + 5

✔️(-3x² - 5x - 3) - (-10x² - 7x + 2)

Apply distributive property

-3x² - 5x - 3 + 10x² + 7x - 2

Add like terms

7x² + 2x - 5

Therefore:

(-3x² - 5x - 3) - (-10x² - 7x + 2) is equivalent expression to 7x² + 2x - 5

✔️(12x² + 6x - 5) - (5x² + 8x - 12)

12x² + 6x - 5 - 5x² - 8x + 12

Add like terms

7x² - 2x + 7

Therefore:

(12x² + 6x - 5) - (5x² + 8x - 12) is equivalent expression to 7x² - 2x + 7

140.55 pounds will be sold approximately each week at the optimal price of $0.67/lb.

To find the price elasticity of demand for bananas at $0.20/lb, we need to use the formula:

According to the given data:

E(p) = -p(q'/q(p))

where q' is the derivative of q(p) with respect to p.

First, we need to find q'(p):

\(q'(p) = -225e^(1.5(5-p))\)

Then, we can plug in the values:

E(0.20) = -0.20(q'(0.20)/q(0.20))

= \(-0.20(-225e^(1.5(5-0.20)) / 100e^(1.5(5-0.20)))\)

= 2.70

Therefore, the price elasticity of demand for bananas at $0.20/lb is 2.70.

To find the price elasticity of demand for bananas at $1/lb, we can use the same formula:

E(p) = -p(q'/q(p))

First, we need to find q'(p):

\(q'(p) = -225e^(1.5(5-p))\)

Then, we can plug in the values:

E(1) = -1(q'(1)/q(1))

= \(-1(-225e^(1.5(5-1)) / 100e^(1.5(5-1)))\)

= 0.68

Therefore, the price elasticity of demand for bananas at $1/lb is 0.68.

To find the price that maximizes revenue, we need to find the value of p that makes revenue, R(p), maximum.

Revenue is given by:

R(p) = pq(p)

= \(p100e^(1.5(5-p))\)

To maximize revenue, we need to find the critical point of R(p) by taking its derivative and setting it equal to zero:

\(R'(p) = 100e^(1.5(5-p)) - 150pe^(1.5(5-p)) = 0\)

Simplifying this expression, we get:

\(2e^(1.5(5-p)) - 3pe^(1.5(5-p)) = 0\)

2 = 3p

p = 2/3

Therefore, the price that maximizes revenue is $0.67/lb.

To find the maximum revenue per week, we can plug this price back into the revenue equation:

\(R(2/3) = (2/3)*100e^(1.5(5-2/3))\)

= $167.56

Therefore, the maximum revenue per week is $167.56.

To find how many pounds will be sold each week at the optimal price of $0.67/lb, we can plug this price back into the demand equation:

\(q(2/3) = 100e^(1.5(5-2/3))\)

= 140.55

Therefore, approximately 140.55 pounds will be sold each week at the optimal price of $0.67/lb.

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Answer:

2 × n - 1 = x

Step-by-step explanation:

for example:

\(2(4) - 1 = 7\)

\(2(5) - 1 = x \\ 10 - 1 = x \\ x = 9\)

Answer:

WR ≈ 13.862

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is

WR² + RT² = WT²

WR² + 12.1² = 18.4²

WR² + 146.41 = 338.56 ( subtract 146.41 from both sides )

WR² = 192.15 ( take the square root of both sides )

WR = \(\sqrt{192.15}\) ≈ 13.862 ( to the nearest thousandth )

Answer:

10 root 2

Step-by-step explanation:

root 200 = root 2 × root 100 = 10 root 2

Answer:

(- 2, - 4 )

Step-by-step explanation:

4x - 3y = = 4 → (1)

3x + 3y = - 18 → (2)

adding the equations term by term will eliminate y

(4x + 3x) + (- 3y + 3y) = 4 - 18

7x + 0 = - 14

7x = - 14 ( divide both sides by 7 )

x = - 2

substitute x = - 2 into either of the 2 equations and solve for y

substituting into (2)

3(- 2) + 3y = - 18

- 6 + 3y = - 18 ( add 6 to both sides )

3y = - 12 ( divide both sides by 3 )

y = - 4

solution is (- 2, - 4 )

Answer:

The test statistic is \(z = -0.28\)

Step-by-step explanation:

First, before finding the test statistic, we need to understand the central limit theorem and difference between normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

A random sample of children in two different schools found that 16 of 40 at one school

This means that:

\(p_1 = \frac{16}{40} = 0.4, s_1 = \sqrt{\frac{0.4*0.6}{40}} = 0.0775\)

13 of 30 at the other had this infection.

This means that:

\(p_2 = \frac{13}{30} = 0.4333, s_2 = \sqrt{\frac{0.4333*0.5667}{30}} = 0.0905\)

Conduct a test to answer if there is sufficient evidence to conclude that a difference exists between the proportion of students who have ear infections at one school and the other.

At the null hypothesis, we test if there is no difference, that is:

\(H_0: p_1 - p_2 = 0\)

And at the alternate hypothesis, we test if there is difference, that is:

\(H_a: p_1 - p_2 \neq 0\)

The test statistic is:

\(z = \frac{X - \mu}{s}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis and s is the standard error

0 is tested at the null hypothesis:

This means that \(\mu = 0\)

From the two samples:

\(p = p_1 - p_2 = 0.4 - 0.4333 = -0.0333\)

\(s = \sqrt{s_1^2+s_2^2} = \sqrt{0.0775^2+0.0905^2} = 0.1191\)

Value of the test statistic:

\(z = \frac{X - \mu}{s}\)

\(z = \frac{-0.0333 - 0}{0.1191}\)

\(z = -0.28\)

The test statistic is \(z = -0.28\)

Answer:

477 square foot

Step-by-step explanation:

cause yea

Answer:

a. Total amount after 65 years = $1179415.39

b. The total contribution to the account  = $288000

Step-by-step explanation:

Given annuity amount = $1800

Total number of years for contribution = 65 – 25 = 40 years

Interest rate  = 6%

a. Total amount after 65 years = Annuity[((1+r)^n -1) / r]

Total amount after 65 years = 1800×((1+.06/4)^(4 × 40) - 1)/(.06/4)

Total amount after 65 years = $1179415.39

b. The total contribution to the account =1800 × 4 Quarter × 40 Years

        The total contribution to the account  = $288000

Answer:

  m = 20

Step-by-step explanation:

You want the value of m when (4m +10)° represents an angle of 90°.

The perpendicular bisector XZ intersects segment WY at right angles. The measure of a right angle is 90°, so we have ...

  (4m +10)° = 90°

Dividing by ° and subtracting 10 gives ...

  4m +10 = 90

  4m = 80

  m = 20 . . . . . . divide by 4

The value of m is 20.

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The dimensions of the room are approximately 7 meters by 10.5 meters.

In Mathematics, dimensions are referred to as measures of size such as length, width, and height of an object or a shape. A rectangle has length and width as its dimensions that define the area of a rectangle.

Let's start by using algebra to represent the information given in the problem. Let x be the width of the rectangular room, then the length is 1.5 times the width or 1.5x.

The perimeter of a rectangle is the sum of the lengths of all its sides, which can be expressed as:

\(\text{Perimeter} = 2(\text{length} + \text{width})\)

Substituting the values we have for length and width, we get:

\(\rightarrow35 = 2(1.5\text{x} + \text{x})\)

Simplifying the equation, we get:

\(\rightarrow35 = 2(2.5\text{x})\)

\(\rightarrow35 = 5\text{x}\)

\(\rightarrow\text{x}=\dfrac{35}{5}\)

\(\rightarrow\bold{x\thickapprox7}\)

So the width of the room is 7 meters.

To find the length, we can substitute x into the expression we have for the length:

\(\rightarrow\text{Length} = 1.5\text{x}\)

\(\rightarrow\text{Length} = 1.5(7)\)

\(\rightarrow\bold{Length=10.5}\)

So the length of the room is 10.5 meters.

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Answer:

3 boxes of candy

Step-by-step explanation:

$20.00 = $10.50 + 3(b)

3*3 = $9.00

$10.50 + $9.00 = $19.50

$20.00 - $19.50 = $0.50

($0.50 is the reminder).

Have a great day, all!!

Answer:

64x64x64=262,144

Step-by-step explanation: mark as brainest plsssssssssssssss

Answer:

dang I'm sorry I thought I was right but the question you're asking is a different one but I will try to help you one the one you're on

Answer:

A is correct, when two lines have 1 intersection (1 solution).

Step-by-step explanation:

B Two lines are parallel => No intersection (no solution).

C Two lines are coincident => Many intersection (many solutions).

Hope this helps!

:)

Step-by-step explanation:

As these two lines are not parallel so going to intersect at one point so having one solution

Answer:

C

Step-by-step explanation:

The slope of the line will be (2) and the equation will be C