Marguerite wants to rent a carpet cleaner. Company A rents a carpet cleaner for $15 per day. Company B rents a carpet cleaner for $100 per week, with a one-time fee of $5.

The following functions represent the rate structures of the two rental companies:

x = the number of weeks

Company A

f(x) = 15(7x)

Company B

g(x) = 100x + 5

The function h(x) = f(x) – g(x) represents the difference between the two rate structures.

Determine which statements about h(x) and about renting a carpet cleaner are true. Check all that apply.
If Marguerite rents for 2 weeks, it will cost her more if she rents from Company B.
If Marguerite rents for 2 weeks, it will cost her less if she rents from Company B.
If Marguerite rents for 1 week, it will cost her the same at either company.
If Marguerite rents for 1 week, it will cost her more if she rents from Company A.
h(x) = 5x – 5
h(x) = 5x + 5

The measure of angle ADC in the geometric system is equal to 55°.

In this question we find a geometric system formed by a quadrilateral and an angle vertical to a vertex of the quadrilateral. Angle CDE is supplementary to angles EDF and ADC. Two angles are supplementary whose sum of measures equals 180°. Therefore:

m ∠ CDE + m ∠ EDF = 180°

(2 · x + 1) + (x - 7) = 180°

3 · x - 6 = 180°

3 · x = 186°

x = 62

m ∠ CDE = 2 · x + 1

m ∠ CDE = 2 · 62 + 1

m ∠ CDE = 125°

m ∠ ADC = 180° - 125°

m ∠ ADC = 55°

To learn more on supplementary angles: https://brainly.com/question/29117467

#SPJ1

Answer:

0.4 is 10 times as much as 0.04

The baggage handling services of On-Time Airlines are conducting a study to determine the correlation between the number of passengers arriving at a given time and the number of baggage handlers needed.

The study is performed by an airport executive who samples different times during the day and different days of the week including weekends. The main objective is to ensure that passengers do not wait an unreasonable amount of time for their baggage.

The study records the number of passengers arriving within any 1-hour time block. The data collected is then analyzed using a statistical technique called regression equation analysis, which is a method to estimate the strength and direction of the relationship between two or more variables.

The outcome or the result of the analysis is not provided in the given information.

To learn more about the baggage handling services at

https://brainly.com/question/17018368?referrer=searchResults

#SPJ4

The probability of getting 21, when first card is an ace and the second card is a queen = 0.024133.

The term blackjack means that you get a value of 21 with only two cards.

Number of cards in a deck of cards = 52

There are 4 types of cards in a deck of cards - spades, clubs, hearts, and diamonds, out of which spades and clubs are black in colour.

Given that first card is Ace and second one is a Queen.

Odds of getting an Ace are 4/52, odds of the next being Queen is 16/51.

P(blackjack)=4×16/(52/2).

where P is used for probability .

Probability: Probability is simply how likely something is to happen. Whenever we are unsure about the outcome of an event, we can talk about the probabilities of certain outcomes. The analysis of events governed by probability is called statistics.

Probability of getting an ace followed by a queen card: 4/52 * 16/51 = 0.024133.

To learn more about Probability of blackjack

visit : brainly.in/question/15842745

#SPJ9

Every output value for g is half the output value for f.

I would describe the transformation as a vertical compression by a factor of 1/2, since every y-value was cut in half.

g(x) = 1/2 · f(x)

The distance between points R and S is  \(\sqrt{ (185)\). The correct answer is D. She made no errors.

Heather's work to find the distance between two points, R(-3,-4) and S(5,7), is shown:

RS = √(-4) (-3))² + (7 − 5)²

= √(-1)² + (2)²= √1 + 4

= √5

The error is with the order of subtraction in the formula for the distance between two points.

Heather did not make any errors in calculating the distance between two points. Therefore, the correct answer to the question above is (OD) She made no errors.

The formula for the distance between two points, A (x1, y1) and B (x2, y2), in the coordinate plane is given as;

dAB = \(\sqrt{  ((x^2 - x1)^2 + (y2 - y1)^2)\)

Comparing the given question with the formula above, we have;

A = R (-3, -4) and B = S (5, 7)The distance, AB = RS.

Therefore, we have;

RS = \(\sqrt{ ((5 - (-3))^2 + (7 - (-4))^2)\)

On solving the above equation;RS = \(\sqrt{ ((5 + 3)^2 + (7 + 4)^2)\)RS

= \(\sqrt{ (8^2 + 11^2)RS\)

= \(\sqrt{ (64 + 121)RS\)

= \(\sqrt{ (185)\)

Therefore, the distance between points R and S is  \(\sqrt{ (185)\).

From the calculation, it is clear that Heather did not make any errors while calculating the distance between two points. The answer obtained by Heather is correct.

For more questions on distance between

https://brainly.com/question/15958176

#SPJ8

Step-by-step explanation:

Based on the information given, we have a diagram with two sides labeled as 13.3 mm and 5.5 mm, and another side labeled as X mm.

To find the length of X, we can use the fact that the sum of the lengths of the sides of a triangle is equal to the perimeter.

Perimeter = 13.3 mm + 5.5 mm + X mm

The perimeter is the total distance around the triangle. Since we have three sides, the perimeter is the sum of the lengths of those sides.

To find X, we can subtract the sum of the known sides from the perimeter:

X mm = Perimeter - (13.3 mm + 5.5 mm)

Since the value of X is not given, we cannot calculate it without the perimeter value. If you provide the perimeter value, I can help you find the length of X.

Answer:

C. = 69.5

Step-by-step explanation:

The median or the average between 80 and 59 is 69.5

Hope this helps! :)

Answer:

Step-by-step explanation:

-15-9 = -24

I would think about it as adding 15 and 9, but just make the answer negative.

The function with which the projectile is moving is P(t) = 5t - t², where P(t) represent the height and t represent the time.

For t > 5 the value of P(t) will be negative , but distance travelled can not be negative.

an expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable (the dependent variable). Functions can be found everywhere in mathematics, and they are essential for building physical connections in the sciences. The modern definition of function was first proposed in 1837 by the German mathematician Peter Dirichlet:

A variable y is said to be a function of the independent variable x if there is a correlation between them such that a rule determines a particular value of y whenever a numerical value is assigned to x.

The function is P(t) = 5t - t²

here for t > 5 the value of P(t) will be negetive , but distance travelled can not be negetive.

To learn more about Function refer to :

brainly.com/question/18252341

#SPJ1

Complete question--

This statement essentially establishes a relationship between the sets X, Y, and z, stating that there exists a subset Y for each element x in X such that the elements in Y are present in some subset z of X.

The given statement is a symbolic representation of a logical proposition involving quantifiers and logical connectives. Let's break down its meaning:

∀ X ∃ Y ∀u(u ∈ Y ↔ ∃z(z ∈ X ∧ u ∈ z))

The symbol ∀ (universal quantifier) indicates that the statement applies to all elements in the set X.

The symbol ∃ (existential quantifier) indicates that there exists at least one element in the set Y.

The statement can be interpreted as follows:

"For all elements x in the set X, there exists a set Y such that for every element u in Y, u is an element of Y if and only if there exists a set z in X such that u is an element of z."

In simpler terms, the statement asserts that for every element x in the set X, there is a set Y that contains elements u if and only if there exists a set z in X that also contains u.

It is important to note that the precise meaning and implications of this statement may depend on the context and interpretation of the sets X, Y, and their elements.

For more such questions on subset

https://brainly.com/question/13458417

#SPJ8

Answer:

The 99% confidence interval estimate of the proportion of people who say that they voted is (0.6623, 0.7369).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).

In a survey of 1002 people, 701 said that they voted in a recent presidential election.

This means that \(n = 1002, \pi = \frac{701}{1002} = 0.6996\)

99% confidence level

So \(\alpha = 0.01\), z is the value of Z that has a p-value of \(1 - \frac{0.01}{2} = 0.995\), so \(Z = 2.575\).

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6996 - 2.575\sqrt{\frac{0.6996*0.3004}{1002}} = 0.6623\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6996 + 2.575\sqrt{\frac{0.6996*0.3004}{1002}} = 0.7369\)

The 99% confidence interval estimate of the proportion of people who say that they voted is (0.6623, 0.7369).

answer

a. 5,8

explanation

use numbers in each answer choice

+5 * -8 = - 40

+5 -8 = -3

Consider the form \(x^2+bx+c\). Find a pair of integers whose product is \(c\) and whose sum is \(b\). In this case, whose product is -40 and whose sum is -3.

\(\longrightarrow\boxed{\bold{(-8,5)}}\)

Write the factored form using these integers.

\((x-8) \ (x+5)\)

Answer:

47.3

Step-by-step explanation:

180-90-42.7=47.3

Answer:

47.3

Step-by-step explanation:

this is a right triangle, which means that Angle O is 90°

90 + 42.7 = 132.7

180 - 132.7 = 47.3

Answer:

Sorry i have no idea hahha

Step-by-step explanation:

Good luck

The Amy has 42 books, Betty has 36 books, and Carol has 18 books.

Let's set up equations to represent the given information:

Let A represent the number of books Amy has.

Let B represent the number of books Betty has.

Let C represent the number of books Carol has.

Let's say Amy has x books.

Betty has 6 books less than Amy, so Betty has (x - 6) books.

Carol has half as many books as Betty, so Carol has (x - 6)/2 books.

According to the problem, the total number of books they have is 96.

So, we can write the equation:

x + (x - 6) + (x - 6)/2 = 96

To solve the equation, we can simplify it by multiplying through by 2 to remove the fraction:

2x + 2(x - 6) + (x - 6) = 192

2x + 2x - 12 + x - 6 = 192

5x - 18 = 192

5x = 210

x = 42

Amy has 42 books.

Betty has (42 - 6) = 36 books.

Carol has (36)/2 = 18 books.

For more such questions on Amy:

https://brainly.com/question/25319846

#SPJ8

The binomial theorem states that: \((x + y)^n = \sum_{k=0}^n{n\choose k} x^{n-k}y^k\). So, the binomial expansion of (2x - 3y)⁵ is: \(32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5\).

Now, let's use the Binomial Theorem to find the binomial expansion of (2x - 3y)⁵. We will have to find the coefficients for each term. So, let's get started. n = 5x = 2xy = -3[nCr = n! / (r! * (n-r)!)]

Term k = 0: \( {5 \choose 0} (2x)^5 (-3y)^0\) = 32x⁵

Term k = 1: \({5 \choose 1} (2x)^4 (-3y)^1\) = -240x⁴y

Term k = 2: \({5 \choose 2} (2x)^3 (-3y)^2\) = 720x³y²

Term k = 3: \({5 \choose 3} (2x)^2 (-3y)^3\) = -1080x²y³

Term k = 4: \({5 \choose 4} (2x)^1 (-3y)^4\) = 810xy⁴

Term k = 5: \({5 \choose 5} (2x)^0 (-3y)^5\) = -243y⁵

Now we can combine all of these terms to form the binomial expansion of (2x - 3y)⁵:\((2x - 3y)^5 = 32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5\)

Therefore, the binomial expansion of (2x - 3y)⁵ is: \(32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5\).

For more questions on: binomial

https://brainly.com/question/30566558

#SPJ8

Answer:

Angle b = 77 degrees

Angle c = 180 - 77 = 103 degrees

Step-by-step explanation:

Answer:

B and C

Step-by-step explanation:

while time=0 (start) h(0) = 3   ... B is correct

2 roots: 1 + 2√0.4 = 2.26    and 1 - 2√0.4 = - 0.26

   only when t = 2.26 make sense

Statements B and C are true about the situation for the given function.

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

The height of the diver above the water is given by the function:

h(t) = -5t² + 10t + 3

Using this function, we can determine which statements are true:

B. The diver begins 3 meters above the water.

True. The constant term in the function is 3, which means the diver begins 3 meters above the water.

C. The function has 1 zero which makes sense in this situation.

True. To find the zeros of the function, we need to solve the equation -5t² + 10t + 3 = 0.

Using the quadratic formula, we get:

t = (-10 ± √(100 - 4(-5)(3))) / (2(-5)) = (10 ± √(220)) / 10

Only the positive value of t makes sense in this situation since the diver can't have been in the water before jumping.

The positive value is approximately 2.32 seconds, which is the time it takes for the diver to hit the water.

Thus, statements B and C are true about the situation for the given function.

Learn more about the functions here:

brainly.com/question/12431044

#SPJ2

Answer:

b. Go for a run to clear his mind.

Step-by-step explanation:

Emotion focused coping strategy is one in which a person goes for self isolation to release his stress. The person focuses on emotional distance from people because he believes the stress can increase if other people stays around him. When an employee suffers from stressful demand at work the best for him is to go for a run or walk and release stress.

The p-values of the test is given by p = -0.533

Given data ,

A random sample of 16 ATM transactions shows a mean transaction time of 2.8 minutes with a standard deviation of 1.2 minutes

Now , alternate hypothesis is mu < 2.96

where test statistic for a one-sample t-test is calculated as:

t = (x - μ) / (s / √n)

Where:

x = sample mean (2.8 minutes)

μ = hypothesized population mean (2.96 minutes)

s = sample standard deviation (1.2 minutes)

n = sample size (16)

Substituting the given values into the formula, we have:

t = (2.8 - 2.96) / (1.2 / √16)

t = (-0.16) / (1.2 / 4)

t = (-0.16) / (0.3)

t ≈ -0.533

And , we need to find the p-value associated with this test statistic. Since the alternative hypothesis is mu < 2.96, we are performing a one-tailed test

The p-value of the test is the probability of observing a test statistic as extreme as -0.533, assuming the null hypothesis is true

Hence , the p-value of the hypothesis is solved

To learn more about p-value click :

https://brainly.com/question/15980493

#SPJ1

Answer:

12897 square feet

Step-by-step explanation:

So first find the area of the square:  

85 * 85 = 7225

Then, the two semi circles together is a full circle. Use the circle area formula,

A = πr^2

The radius (r) would be half the diameter of the circle. The diameter of the circle would be 85. So half of that is 42.5. The radius is 42.5

Now:

A = π(42.5)^2

A = 3.14(42.5)^2

A = 3.14(1806.25)

A = 5671.625

Lastly, add the two areas up for the square and circle:

7225 + 5671.625 = 12896.625

Round to nearest tenth: 12897

Answer:

33.0693394

Step-by-step explanation:

1 klio is 2.20462262,just mulipily by 15.

Answer:

It's the b graph

Step-by-step explanation:

Khan Academy.

Answer:

The line slightly curves.

Step-by-step explanation:

Got it right on Khan

The requreid,
(a) Approximate values of the given numbers are π ≈ 3.1, √6 ≈ 2.4, 2√6 ≈ 4.8, and √7 ≈ 2.6.
(b) √6  < √7 <  π  < 2√6

(a)

π ≈ 3.1 (since π is between 3 and 4, and is closer to 3.1 than to 3.2)

√6 ≈ 2.4 (since 6 is between 4 and 9, and the square root of 6 is closer to 2.4 than to 2.5)

2√6 ≈ 4.8 (since 2√6 is approximately twice the value of √6, which is 2.4)

√7 ≈ 2.6 (since 7 is between 4 and 9, and the square root of 7 is closer to 2.6 than to 2.7)

(b)

Order from least to greatest:

√6  < √7 <  π  < 2√6

Learn more about simplification here:

https://brainly.com/question/9912600

#SPJ1

Question 1.

Given:

Loan amount = $22,000

New Loan amount after reduction = $15,200

Let's determine how much of the debt he paid off.

To find how much he has already paid that year, we have:

Amount paid = Original loan amount - New loan amount

Amount paid = $22000 - $15200 = $6,800

Therefore, the amount he paid off that year is $6,800

ANSWER:

$6,800

Answer:

10,800 feet

Step-by-step explanation:

1000 * 10.8 because there are 1000 cars each 10.8 feet long