find the sale price to the nearest cent .. $40 sweater; 33%discount​

The exact value of the trigonometric cosine function cos 30° is √3/2.

In trigonometry, the cosine function is defined as the ratio of the adjacent side to the hypotenuse in a right triangle. Using the unit circle, we can find the exact values of the trigonometric functions for angles in degrees or radians. One of the most important concepts in trigonometry is the unit circle.

A special triangle is a 30-60-90 triangle, where one angle is 30 degrees, another angle is 60 degrees, and the last angle is 90 degrees. The ratio of the adjacent side to the hypotenuse in this triangle is √3/2. Therefore, the exact value of cos 30° is √3/2. This means that the cosine of 30 degrees is the ratio of the adjacent side (x) to the hypotenuse (1) in the unit circle where x = √3/2.

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Answer:

y=-5/3+7

Step-by-step explanation:

Point Slope Formula: y=m(x-x1)+y

y=-5/3(x-3)+2

-5/3x+5+2

y=-5/3x+7 (y=mx+b)

y=-5/3x+7 is  the equation of the line that passes through the point (3, 2) and has a slope of - 5/3​.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We need to find  the equation of the line that passes through the point (3, 2) and has a slope of - 5/3​

m=-5/3.

We need to find the y intercept passing through (3,2)

2=-5/3(3)+b

2+5=b

7=b

Hence, y=-5/3x+7 is  the equation of the line that passes through the point (3, 2) and has a slope of - 5/3​.

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Answer:

4%

Step-by-step explanation:

23÷564 is .04 which in percentage form is 4%

hope this helps

Step-by-step explanation:

your answer is going to be 20.57

13 2/5- 8 3/4= 4.65 or 4 13/20

Hope this helps you!

Answer:

Step-by-step explanation:

Use Pythagorean theorem,

Hypotenuse² = base² +altitude²

Diagonal² = 17² + 12.75²

                = 289 +162.5625

               = 451.5625

Diagonal = √451.5625

              = 21.25

Answer:

The answer is 21.25

Step-by-step explanation:

Simple interest is a type of interest that is calculated based on the principal amount of a loan or investment and a fixed rate of interest over a specific period of time.

To find the simple interest owed for a borrowed amount of P dollars at an annual interest rate of r for a given length of time, you can use the formula:

Simple Interest = P × r × t

where P is the principal amount ($3800), r is the annual interest rate (3.0% or 0.03 as a decimal), and t is the time in years. Since the time given is 9 months, we need to convert it to years:

9 months = 9/12 = 0.75 years

Now plug in the values into the formula:
Simple Interest = $3800 × 0.03 × 0.75
Simple Interest = $114

The simple interest that is owed is $114.

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Answer: 7%

(Hope this is right.)

Step-by-step explanation:

Let's solve this using the information we have and an equation.

Shane: $32,000 - (Given)

Theresa: 18,000+14x, if x=1,160 - (Given)

---------------------------------------------------------------

Step two: (Theresa) 14(1,160) =16,240 (Algebra)

Step three: (Theresa) 18,000+16,240=34,240 (Algebra, given.) - cost of Theresa's car.

---------------------------------------------------------------

Finally,

They're asking for how much more she paid for her car as a percentage of what Shane paid.

34,240-32,000=2,240 and

2,240/32,000=0.07

0.07x100=7

Answer 7% more than what Shane paid.

Answer:

y = 3x-2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The type of variable that represents the names of the automobile manufacturers would be the categorical variable.

A variable is defined as the quantity that may change within the context of a mathematical problem, research work or an experiment.

There are various types of variables that include the following:

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The paper clip costs $0.05 and the folder Costs $1.00 more, which is $1.05. Together, they add up to the total of $1.10.

Let's solve this problem step by step:

Let's assume the cost of the paper clip is x dollars.

According to the information given, the folder costs $1.00 more than the paper clip, so the cost of the folder would be (x + $1.00).

The total cost of the folder and the paper clip is $1.10, so we can write the equation:

x + (x + $1.00) = $1.10

Combining like terms, we have:

2x + $1.00 = $1.10

Subtracting $1.00 from both sides of the equation, we get:

2x = $0.10

Dividing both sides by 2, we find the value of x:

x = $0.10 / 2

x = $0.05

Therefore, the paper clip costs $0.05.

In summary, the paper clip costs $0.05 and the folder costs $1.00 more, which is $1.05. Together, they add up to the total of $1.10.

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Answer:

B

Step-by-step explanation:

because 7 it can not divided into two so we simply say that the function is not a linear

Answer:

slope = \(\frac{5}{8}\)

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 8, 7) and (x₂, y₂ ) = (16, 22)

m = \(\frac{22-7}{16+8}\) = \(\frac{15}{24}\) = \(\frac{5}{8}\)

Answer:

It looks like she/he didn't count the question and just gave extra points. This made me lose some brain cells

Step-by-step explanation:

Answer:

7.639

Step-by-step explanation:

7.639 rounds to 7.64 which is the closest on I could find to 7.62.

Answer:

 I think the answer is 7.636

Step-by-step explanation:

Point G is two, which divides the directed line segment from D to F into a 5:4 ratio at that place.

The general equation for every straight line is y = mx + c, where m is the gradient (or degree of steepness) of the line and c is the y-intercept (the point in which the line crosses the y-axis).

The variables x and y are related to coordinates on the line in the linear equation y = mx + c.

The formula y = mx + c yields a result for y when we enter a value for x.

As y depends on the value of x, it follows that x is an independent variable and y is a dependent variable.

According to our question-

From negative five to positive ten is a number line.

Points D and F are at -2 and +7, respectively.

The distance between point D and F is,

=9

If Point G divides the directed line segment from D to F into a 5: 4 ratio, then,

=2

Hence, The directed line segment from D to F is divided into a 5:4 ratio at point G by the number 2.

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The required length and width of the square garden is 5ft.

Given that,
Regan is making a square garden in her backyard with an area of 25ft² length and width of the garden is to be determined.

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

here,
According to the question, l = w
Area of the garden = 25
l × w = 25
l × l = 25
l = 5

Thus, the required length and width of the square garden is 5ft.

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Leading coefficient means the number that goes multiplicating the bigger exponent ,in this case is -9 because -9 multiplies x^3

Leading coefficient is the bigger exponent in a polynomial. In this case is 3 ,because -9x^3 is the biggest number in exponent.

So finally is a third degree equation.

Answer:

If this is from edge the answer is B.

Step-by-step explanation:

I just had this question on edge 2022

Lmk if u got it right :)

Answer:

a

Step-by-step explanation:

on edge

Answer:

I think it would be 5/7

Explanation:

The question states "The hunter's dog recovered 5/7 of the ducks.", so I am guessing it would be 5/7

Hope this helps :)

Answer:

5 Ducks

Step-by-step explanation:

It is given that there were 7 ducks and 7 of those were shot in total. 7/7

It is also given that the dog retrieved 5/7 of them.

So, 7/7-5/7=2/7

2 ducks were not recovered, and 5 were

Hope I helped

The implied probability of default of one-year BB-rated debt is 0.0329, as given in option (d).

The implied probability of default, we need to consider the yields of the zero coupon bonds. However, the yields alone are not sufficient, as we also need to account for the credit rating of the debt.

Since the question specifically mentions one-year BB-rated debt, we can use the given yields to calculate the implied probability of default. The lower yield corresponds to a higher credit rating, while the higher yield corresponds to a lower credit rating.

By comparing the yields of the zero coupon bonds, we can deduce that the bond with the higher yield represents the BB-rated debt. Therefore, we select the yield associated with the higher credit risk.

According to the options given, option (d) corresponds to the implied probability of default of 0.0329, which is the correct answer.

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(a) The domain of F is: D = {0, 1, 2, 3}

(b) The range of F is: R = {2, 3, 4, 5}

(c) F is not a function.

(a) The domain of the relation F is the set of all first elements (or x-values) of the ordered pairs in F. In this case, the domain of F is:

D = {0, 1, 2, 3}

(b) The range of the relation F is the set of all second elements (or y-values) of the ordered pairs in F. In this case, the range of F is:

R = {2, 3, 4, 5}

(c) To determine if F is a function, we need to check if every element in the domain is mapped to a unique element in the range. In other words, for each x in the domain, there can be only one y in the range such that (x, y) is an ordered pair in the relation.

In the case of F, there are two elements in the domain that are mapped to the same element in the range: (2, 3) and (3, 3). This means that there is more than one y in the range for the same x in the domain, which violates the definition of a function.

Therefore, F is not a function.

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The proportion should be sufficiently demonstrated to be lower than 49% at the 0.05 level.

Given,

Less than 49% of a newsletter publisher's subscribers, in their estimation, own a personal computer.

A potential advertiser wants to verify this claim for marketing purposes.

The marketer chooses to reject the null hypothesis after running a test with a 0.05 level of significance.

We have to determine the conclusion regarding the publisher's claim;

Here,

Null and Alternative hypothesis;

H₀ = P ≥ 0.49

H₁ = P < 0.49 (Left tailed test)

The significance level is 0.05

So,

0.05 < 0.49

Then,

At the defined meaning level, it is chosen to reject the null hypothesis.

Therefore,

There should be sufficient evidence that the proportion is lower than 49% at the 0.05 level.

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Answer:

Step-by-step explanation:

 8     6     9      5    10     4     11

 1st = 3rd - 1

  3rd = 5th - 1 and so on

2nd = 4th + 1

4th = 6th + 1

6th = 8th + 1

 8th = 6th - 1

         =  4 - 1

         = 3

Answer:

Step-by-step explanation:

3x^2+kx+12=0

k= -3x-12/x

Answer:

k = 12  

Step-by-step explanation:

3(x² + kx + 2²) = 3(x² + ____x + 4) = 3(x² + 4x + 4) = 3x² + 12x + 12 ⇒ k = 12

Answer:

c

Step-by-step explanation: