an online company is advertising a vacuum cleaner on sale for 25% off the original price of $253.99 what is the sale price for the vacuum cleaner? round your answer to the nearest cent

\(\textit{Pythagorean Identities} \\\\ sin^2(\theta)+cos^2(\theta)=1 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ tan(x )+cot(x )~~ = ~~\cfrac{1}{sin(x )cos(x)} \\\\[-0.35em] ~\dotfill\\\\ tan(x )+cot(x )\implies \cfrac{sin(x)}{cos(x)}+\cfrac{cos(x)}{sin(x)} \\\\\\ \cfrac{sin^2(x)+cos^2(x)}{sin(x )cos(x)}\implies \cfrac{1}{sin(x )cos(x)}\)

The statement that represents the expression 4 x (3 + 2) - 6 is:

"Four times the sum of three and two, minus six."

To write a statement for an expression, you need to describe the expression using words in a clear and concise manner. The statement should convey what the expression means or represents. Here are the steps to follow:

Identify the expression you want to represent with a statement.

Read the expression carefully and determine what mathematical operations are being performed, such as addition, subtraction, multiplication, or division.

Write out the operations in words, such as "add," "subtract," "multiply," or "divide."

Identify any constants or variables in the expression and describe them in words. For example, if the expression is 2x + 5, you would say "two times a number plus five."

Use parentheses to clarify the order of operations. For example, if the expression is 4 x (3 + 2) - 6, you would say "four times the sum of three and two, minus six."

Proofread your statement to make sure it accurately represents the original expression and is clear and concise.

To know more about expression here

https://brainly.com/question/723406

#SPJ1

Answer:

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).

Step-by-step explanation:

Hope it helps u

FOLLOW ACCOUNT PLS PLS

Answer:

42$

Step-by-step explanation:

So there's an easy way to know this.

100%--$70

60%--x

cross multiply

100x=4200

÷100     ÷100

______________

x=42

So he saved 42$. Hope this helps :D

Answer:

f(x) = -4\(x\) - 2 or y = -4\(x\) - 2

Step-by-step explanation:

In this question, you should use the graph to write the function/equation in slope intercept form.

y = mx + b where m is the slope and b is the y intercept

To calculate the slope, you can use rise/run between any two points. I will use the points (-2, 6) and (0, -2). In these points, the "rise" would be -8 as that is the number of units they are away from each other vertically. It is negative because the line obviously has a negative slow as it is travelling from up to down. The run in this case would be 2 as that is the distance the two points are away from each other horizontally.

Then, substitute.

\(\frac{-8}{2}\) = -4, so m = -4

Now we will find the b value.

B is the y-intercept, or what the y value of the coordinate of the point that the line touches the y-axis. The coordinate is (0, -2). Therefore, the b value is 2.

Answer:

Original angle = 167*

Supplementary angle = 13*

Step-by-step explanation:

180 - 154 = 26

26 / 2 = 13

13 + 154 = 167

Check

167 + 13 = 180

Answer:

1 day, 10^0

Step-by-step explanation:

Plato correct

Answer:

1 Day 10^0

Step-by-step explanation:

Answer:

  7

Step-by-step explanation:

You want the common difference of the arithmetic sequence that starts ...

  15, 22, 29, ...

The common difference is the difference between a term and the one before. It is "common" because the difference is the same for all successive term pairs.

  22 -15 = 7

  29 -22 = 7

The common difference is 7.

<95141404393>

The domain and range of the function are [-3, 3] and [-2, 4], respectively and The function values for (a) f(-1), (b) f(0), (c) f(1) and (d) f(2) are 0, -2, 4, and 3, respectively. The total number of words used is 163.

Given that the graph of the function is shown below, the domain and range of the function need to be determined along with finding the function values for (a) f(−1), (b) f(0), (c) f(1) and (d) f(2).Graph of the function:Graph of the function for the given graph of the function, we can observe that the domain of the function is from -3 to 3 as the graph is defined within these limits.In order to find the range of the function, we need to look at the range of the y-coordinates.

The minimum value of y is -2 and maximum value of y is 4.Range of the function: [-2, 4]a) f(-1) means the function value for x = -1. As we can observe from the graph, the point where x = -1 is on the graph of the function is (1, 0). Therefore, f(-1) = 0b) f(0) means the function value for x = 0. As we can observe from the graph, the point where x = 0 is on the graph of the function is (0, -2).

Therefore, f(0) = -2c) f(1) means the function value for x = 1. As we can observe from the graph, the point where x = 1 is on the graph of the function is (2, 4). Therefore, f(1) = 4d) f(2) means the function value for x = 2. As we can observe from the graph, the point where x = 2 is on the graph of the function is (3, 3). Therefore, f(2) = 3

Thus, the domain and range of the function are [-3, 3] and [-2, 4], respectively. The function values for (a) f(-1), (b) f(0), (c) f(1) and (d) f(2) are 0, -2, 4, and 3, respectively. The total number of words used is 163.

Learn more about graph here,

https://brainly.com/question/29538026

#SPJ11

The graph of the pupil's score is an illustration of scatter plots

The student's expected score in paper 2 is 62

To predict the score of the pupil in the missed paper, we simply interpret the points on the line of best fit of the scatter plot

From the graph (see attachment), we have:

Paper 2 = 62 when Paper 1 = 50

This means that the student's expected score in paper 2 is 62

Read more about scatter plots at:

https://brainly.com/question/6592115

Answer:

i believe its one of these!

A. $0.89 B.$0.79 C. $1.29

Step-by-step explanation:

If fx = x-4/x^2+13x+36, then the math expression f(x) is increasing for all x > –4 is true.

A mathematical expression is a sentence that combines numbers, variables, and operators to indicate the value of a factor. An equation is a mathematical expression in which two expressions are made equal.

So arrive at the above-stated conclusion:

First, we simplify the expression of the given function:
f (x) = (x - 4) /(x² + 13x +36)

Expand the denominator to get:

f (x) = (x - 4) /(x² + 9x + 4x +36)


Factorize the denominator to achieve:
f (x) = (x - 4) / [x(x + 4) + 9( x+4)

f(x) = (x - 4) / [(x + 9)(x+4)

In this simplified state, it is easy to determine that:

f(x) is increasing for all x > –4

For example
If x = 0 which is > -4, then

f(x) = (0 - 4) / [(0 + 9)(0+4)

= -4/(9*4)

= - 1.11

Where x = 5

f(x) = (5- 4) / [(15+ 9)(5+4)

= 1/216

= 0.0046

Notice that the results are no longer negative hence,

f(x) is increasing for all x > –4

Learn more about math expressions:
https://brainly.com/question/14961928
#SPJ1

The value of sin(D) is 7/25 after the application of the Pythagoras theorem.

The Pythagorean theorem is a fundamental theorem in geometry that describes the relationship between the sides of a right triangle. It claims that the hypotenuse's square length, which is the side that faces the right angle, is equivalent to the total of the squares of the lengths of the other two sides in a right triangle. The theorem can be formulated mathematically as:

c² = a² + b²

where, even the lengths for the remaining two sides (the legs) of the right triangle are a and b, and c is the length of the hypotenuse.

The Pythagorean theorem may be employed to determine the triangle's third side's length:

DE²= FD² + EF²

25² = 24² + EF²

625 = 576 + EF²

EF² = 49

EF = 7

Now, we can use the definition of sine to find sin(D):

sin(D) = opposite/hypotenuse = EF/DE = 7/25

Therefore, the value of sin(D) is 7/25.

To know more about Pythagoras theorem visit:

https://brainly.com/question/343682

#SPJ1

Answer:

21

Step-by-step explanation:

tee hee

Answer:

if you are talking about distance on cars i have provided you with a chart of      different cars prices and the distance they went/ Vehicle Miles per gallon Gas price, per mile

Subaru Outback 21 $0.14

Chrysler Sebring 21 $0.14

Porsche Boxster 22 $0.13

 PT Cruiser   22  |$0.13

\

P(Odd or Less than 4) = P(Odd) + P(Less than 4) - P(Odd and Less than 4)= 1/10 + 3/52 - 0= 13/130= 1/10, which is the final answer.

The probability that you pick an odd or less than 4 from a card at random can be calculated using the formula for the addition rule of probability that states that the probability of either of two events happening is the sum of their individual probabilities. In this case, the two events are picking an odd card and picking a card less than 4.Picking an odd card:

There are 5 odd cards in a deck of 52 playing cards, namely, Ace of hearts, 3 of hearts, 5 of hearts, 7 of hearts, and 9 of hearts. Thus the probability of picking an odd card from a deck of 52 playing cards is given by:P(Odd) = 5/52 = 5/52Reducing the above fraction to its simplest form by dividing the numerator and denominator by their greatest common factor, we obtain:

P(Odd) = 5/52 = 1/10Picking a card less than 4:There are 3 cards less than 4 in a deck of 52 playing cards, namely, Ace of hearts, 2 of hearts, and 3 of hearts.

Thus the probability of picking a card less than 4 from a deck of 52 playing cards is given by:P(Less than 4) = 3/52Reducing the above fraction to its simplest form by dividing the numerator and denominator by their greatest common factor, we obtain:P(Less than 4) = 3/52

Therefore, the probability of picking either an odd card or a card less than 4 from a deck of 52 playing cards is given by:P(Odd or Less than 4) = P(Odd) + P(Less than 4) - P(Odd and Less than 4)Where P(Odd and Less than 4) is the probability of picking a card that is both odd and less than 4.

Since there are no cards in the deck that satisfy this condition, P(Odd and Less than 4) is equal to 0.

Hence:P(Odd or Less than 4) = P(Odd) + P(Less than 4) - P(Odd and Less than 4)= 1/10 + 3/52 - 0= 13/130= 1/10, which is the final answer.

For more questions on Odd .

https://brainly.com/question/2263958

#SPJ8

Answer:

$28.50

Step-by-step explanation:

39.90/21= $1.9 per wing

1.9 x 15 wings= $28.5

Answer:

$28.5

Step-by-step explanation:

Given

21 chicken wings bought on =$39.90

Solution

So 1 wings bought on=$39.90/21

=$1.9

So 15 wingi bought on =15×1.9

=$28.5

Answer is $28.5.

Answer:

p≤1 or p∠-2

Step-by-step explanation:

REMEMBER OUR GOAL IS TO LEAVE P ALONE!!

p≤1:

1. \(\frac{3p+5}{2}\geq 4\) Multiply by 2 to cancel out 1/2 which would give you \({3p+5}\geq 8\)

2. Then subtract 5 which would give you 3p≥3

3. Then divide by 3 which will FLIP the ≥ into ≤.

4. Therefore, it's p≤1.

p∠-2:

1. \(\frac{p-6}{4}\leq -2\) Multiply by 4 to cancel out the denominator which would give you \(p-6\)∠-8

2. Add 6 to both sides which results in p<-2

Given statement solution is :- The t-statistic associated with the test is approximately -0.28.

The t-statistic, which is used in statistics, measures how far a parameter's estimated value deviates from its hypothesised value relative to its standard error. Through the Student's t-test, it is utilised in hypothesis testing. In a t-test, the t-statistic is used to decide whether to accept or reject the null hypothesis.

To find the t-statistic associated with the test, we need to calculate the test statistic using the estimated slope coefficient, the null hypothesis, and the standard error.

The estimated slope coefficient is 4.93.

The null hypothesis is H₀: β₁ ≥ 5.14 (stating that the true slope coefficient is greater than or equal to 5.14).

The predicted slope's standard error is 0.74.

The formula to calculate the t-statistic is:

t = (estimated slope - hypothesized slope) / standard error

Plugging in the values:

t = (4.93 - 5.14) / 0.74

t = -0.21 / 0.74

t ≈ -0.28 (rounded to two decimal places)

Therefore, the t-statistic associated with the test is approximately -0.28.

For such more questions on t-statistic

https://brainly.com/question/28235817

#SPJ8

Answer:

its option c (7)

Step-by-step explanation:

trust your bro

Answer:

\(C)~ 7\)

Step-by-step explanation:

\(\text{Given that,}~~ (x_1,y_1) = (k,3)~ \text{and}~ (x_2 ,y_2) = (2,3)\\\\\text{Distance,}~ \\\\~~~~~~~~d= \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}\\\\\implies 5=\sqrt{(2-k)^2 + (3-3)^2}\\\\\implies 5=\sqrt{(2-k)^2 +0}\\\\\implies 5 = \sqrt{(2-k)^2}\\\\\implies 5=|2-k|\\\\\implies \pm 5=2-k \\\\\implies 2-k =5~~~~~~\text{or}~~~~~~~~2-k = -5\\\\\implies k = 2-5~~~~~~\text{or}~~~~~~~~k = 2+5\\\\\implies k = -3~~~~~~~~~\text{or}~~~~~~~~k = 7\)

The rules AAS, ASA, SSS and SAS are congruence rule of triangle  and the each rules has been explained

The rules AAS, ASA, SSS and SAS are congruence rule of triangle

SSS rule is side-side-side rule, it states that if three sides of the one triangle and three sides of the other triangles are equal, then both triangles are congruent

SAS rule is side-angle-side rule, it states that if two sides and one included angles between the sides of the one triangle is equal to  the two sides and one included angles between the sides of the other triangle, then both triangles are congruent

ASA rule is angle-side-angle rule, it states that if two angles and one included side between the angle of the one triangle is equal to the two angles and one included sides between the angles of the other triangle, then both triangles are congruent

AAS rules is angle-angle-side rule, it states that if two angles and one non included sides of the one triangle is equal to the two angles and one non included sides of the another triangle, then both triangles are congruent

Therefore, the AAS, ASA, SSS and SAS are the rules of congruence of the triangle

Learn more about congruence rule here

brainly.com/question/29548914

#SPJ4

Using Poisson distribution ,

a) The probability that two next inspected disk will have no missing pulse is 0.905...

b) The probability that the next inspected disk will have more than one missing pulse is 0.005..

c) The probabihty that neither of the next two inspected disks will contain any missing pulse is 0.819..

Poisson distribution:

It can be defined as a probability distribution resulting from a Poisson experiment. A Poisson experiment is a statistical experiment that divides the experiment into two categories Success or Failure. The Poisson distribution is a restricted process of the binomial distribution.

A Poisson random variable “x” defines the number of successes in the experiment.

Poisson Probability function is represent as given below i.e Mathematically,

P(x, lamda ) = (e ⁻λ (λ ))/x!

where, λ --> an average rate of value

x --> Poission random variable

e ----> base for the logarithm

we have given that,

The quality of computer disk is measured .

averaged missing pluse per disk in a computer disk brand (λ) = 0.1

let x be Poisson random variable which represents the number of missing pulse.

a) we want to find the probability that two next inspected disk will have no missing pulse

P(x= 0 ) = (e⁰·¹ )(0.1)^0/0! = 1/e⁰·¹ ×1/1

=> P(x=0) = 0.905

b) The probability that the next inspected disk will have more than one missing pulse, P(x>1)

P(x>1) = 1 - P(x=0) - P(x=1) = 1 - 0.905 - e⁰·¹(0.1)/1!

= 1 - 0.905 - 0.0905 = 0.0045 ~ 0.005

c) We can assume the disks are independent. the probabihty that neither of the next two inspected disks will contain any missing pulse

P(X = 0 on first disk and x = 0 on second disk) = P(X = 0).P(X = 0) =(0.905)².

= 0.819

Hence, we got all the required probabilities for different cases that is for a) 0.905 b) 0.005 c) 0.81

To learn more about Poisson distribution, refer:

https://brainly.com/question/7879375?

#SPJ4

(a) The value of X is 0, the mean value of Y is 8. (b) The value of Y is expected to increase by 7 units. (c) To predict the mean value of Y for X = 5, we substitute X = 5 into the prediction line equation: Y = 8 + 7 * 5 = 43.

(a) The Y-intercept, bo, represents the value of Y when X is 0. In this case, bo = 8, so it implies that when X is 0, the mean value of Y is 8.

(b) The slope, b₁, represents the change in Y for each unit increase in X. In this case, b₁ = 7, so it implies that for each increase of 1 unit in X, the value of Y is expected to increase by 7 units.

(c) To predict the mean value of Y for X = 5, we substitute X = 5 into the prediction line equation Y = 8 + 7X. Therefore, Y = 8 + 7 * 5 = 43. This means that when X is 5, the mean value of Y is predicted to be 43.

Learn more about intercept here:

https://brainly.com/question/14886566

#SPJ11

Answer: 1. 5/2

Step-by-step explanation:

Answer: 1. 5/2

2. 5/2

3. -3= (5/2)(2) + b

4. -8

5. y= (5/2)x - 8

Step-by-step explanation:

The slope of the graphed line is 5/2

The slope of the parallel line is 5/2

An equation that can be used to find the y-intercept of the parallel line is -3=(5/2)(2) + b

The y-intercept of the parallel line is -8

The equation of the parallel line is y= (5/2)x - 8

Answer:

A

Step-by-step explanation:

- \(\frac{1}{2}\) (x + 3) > x - 3 ( multiply both sides by 2 to clear the fraction )

- (x + 3) > 2x - 6 ← distribute parenthesis on left side by - 1

- x - 3 > 2x - 6 ( subtract 2x from both sides )

- 3x - 3 > - 6 ( add 3 to both sides )

- 3x > - 3

divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity

x < 1

Answer:

A. x<1

Step-by-step explanation:

-1/2 (x+3) > x - 3

(-1/2)x-3/2>x-3

Multiply both sides by 2:

-x-3>2x-6

add both sides by 3:

-x-3+3>2x-6+3

-x>2x-3

minus both sides by 2x

-x-2x>2x-2x-3

-3x>-3

x<1

The value of y in the given coordinate points is 5.

The value of y in the given coordinate points is calculated as follows;

Point (5,1) is equidistant from (1,y) and (10, -3).

The value of y is calculated as follows;

(x₁ + x₂)/2, (y₁ + y₂)/2 = (5, 1)

(y - 3)/2 = 1

y - 3 = 2

y = 5

The coordinates points are (1, 5) and (10, - 3)

Thus, the value of y in the given coordinate points is 5.

Learn more about coordinate points here: https://brainly.com/question/17206319

#SPJ4

The percentage of Country A women weigh between 110 and 200 pounds is 80%.

The percentage is the value of one quantity compared to a larger quantity.

The percentage is the quotient multiplied by 100.

Five-number summary for the weights of women in Country A = 100, 110, 120, 160, 200

The class value of women who weigh between 110 and 200 pounds = 4

The class value of women who weight less than between 110 and 200 pounds = 1

The ratio of women who weight between between 110 and 200 pounds and those who weigh less is 4:1

The sum of ratios = 5 (4 + 1)

The percentage of women weighing between between 110 and 200 pounds = 80% (4/5 x 100).

Learn more about the percentage at https://brainly.com/question/24877689.

#SPJ4

Answer:

x = 2, y = 3

Step-by-step explanation:

x - 3y = - 7 → (1)

x = 5 - y → (2)

Substitute x = 5 - y into (1)

5 - y - 3y = - 7

5 - 4y = - 7 ( subtract 5 from both sides )

- 4y = - 12 ( divide both sides by - 4 )

y = 3

Substitute y = 3 into (2)

x = 5 - 3 = 2

solution is (2, 3 )

Answer:

Correct Answer:A sample size greater than 25

Step-by-step explanation:

hope this helps