purchased a DVD player on sale. The original selling price was ​$. The sale price was ​$.

Answer:

.19 ¢

Step-by-step explanation:

1.) Multiply

There are 3 feet in one yard. And there are 3 yards. So,

3 x 3 = 9

2.) Divide

1.71 ÷ 9 = .19

3.) Check answer

.19 x 9 = 1.71

So it cost .19¢ per foot.

Hope this helps you out : )

Answer:

No the lines are not perpendicular

Step-by-step explanation:

Slopes are not perpendicular reciprocals

Answer:

A, an = 2n. B. an = 2(n-

Step-by-step explanation:

can you brainlist me

Answer:

In quadrant II -

Top point: (-2, 3)

Bottom point: (-3, 1)

Step-by-step explanation:

hope this helps :)

Answer:

12s +3j= 85.95

15s +2j= 93.55

Step-by-step explanation:

First, define the variables:

Let the cost of a shirt be $s and the cost of a pair of jeans be $j.

From the first sentence:

12s +3j= 85.95 -----(1)

From the second sentence:

15s +2j= 93.55 -----(2)

Answer:

10(theta) = 12

theta = 1.2 radians = about 68.8°

phi = .6 radians = about 34.4°

Answer:

A. 30 for everyone in class | B. 12 Boys in the class

Step-by-step explanation:

Answer:

12/15 in simpliest form is 4/5

Step-by-step explanation:

12 / 3 = 4

15 / 3 = 5

Remember that to get or to make a fraction in simpliest forms you need to divide both numerator and denominator by the same number.

12/15 is equal to 4/5.

Hope this helps!!! ;)

Answer:

log(56/9)/log(2) I think

Step-by-step explanation:

When a rectangle is rotated about the y-axis, it creates a solid shape known as a cylindrical shell or a hollow cylinder.

When a rectangle is rotated about the y-axis, each point on the rectangle traces a circular path.  

The resulting shape is a solid formed by the collection of these circular paths, creating a cylindrical shell or a hollow cylinder.

The height of the cylinder corresponds to the length of the rectangle, while the circumference of the cylinder corresponds to the width of the rectangle. The rotation about the y-axis gives the shape a cylindrical appearance, with the y-axis running through the center.

This shape is often used in calculus and geometry to calculate volumes and solve related problems. It is important to note that the rotation about the y-axis assumes that the longer side of the rectangle is aligned parallel to the y-axis.

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When a rectangle is rotated about the y-axis, it creates a solid shape known as a cylindrical shell or a hollow cylinder.

When a rectangle is rotated about the y-axis, each point on the rectangle traces a circular path.  

The resulting shape is a solid formed by the collection of these circular paths, creating a cylindrical shell or a hollow cylinder.

The height of the cylinder corresponds to the length of the rectangle, while the circumference of the cylinder corresponds to the width of the rectangle. The rotation about the y-axis gives the shape a cylindrical appearance, with the y-axis running through the center.

This shape is often used in calculus and geometry to calculate volumes and solve related problems. It is important to note that the rotation about the y-axis assumes that the longer side of the rectangle is aligned parallel to the y-axis.

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In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

1. 9x² + 3x - 4 = 0

Step 02:

Discriminant:

D = b² - 4ac

9x² + 3x - 4 = 0

a = 9

b = 3

c = - 4

D = (3)² - 4(9)(-4) = 9 + 144 = 153

The answer is:

D = 153

The limit as x approaches 0 of ((√x + 81) − 9)/x is approximately 810.00

To do this, we can plug in values of x that are close to 0 and see what happens to the expression.
Let's start by plugging in x = 0.1:
((√0.1) + 81) − 9)/0.1 = 820.96
Next, let's try x = 0.01:
((√(0.01) + 81) − 9)/0.01 = 809.96
As we can see, the expression seems to be getting closer and closer to a certain value as x gets closer to 0.
To confirm our result graphically, we can use a graphing calculator or online graphing tool to graph the function (√x + 81) − 9)/x and see what happens as x approaches 0.
After plotting the graph, we can see that the function does indeed approach a certain value as x gets closer and closer to 0.

Therefore, the summary is that the limit as x approaches 0 of ((√x + 81) − 9)/x is approximately 810.00 (rounded to two decimal places).

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We were not given a question so I know a question that is commonly asked with the info you gave us is, what equation could be made using the information. I decided to answer that so you can get your answer ASAP.

So the cell phone plan costs $30 am month plus $0.15 per a text message. The equation we could use to figure out how much the phone plan would cost total is $30+$0.15x. x represents how many text messages the person sends. I hope this helps and if you have any questions please let me know.

Answer:

yes she will

Step-by-step explanation:

just find the perimeter

14+14+10+10 or (14*2)+(10*2)

the add and you get 48 feet

48<50

Hope this helps

The answer to the question, "What percentage of the world's land area has been granted some degree of protection in a park or preserve?" is 15%.

What is a protected area?

A protected area is a defined geographical space, recognised, dedicated and regulated, through legal or other effective means, to achieve the long-term conservation of nature with associated ecosystem services and cultural values.

How does a protected area achieve conservation?

A protected area, by definition, is a place dedicated to the protection and maintenance of biodiversity and other natural and cultural resources of the area. Protected areas often encompass critical habitats, ecosystems, and landscapes. They offer essential ecological, economic, social, and cultural benefits to society.Conservation objectives are reached by restricting, regulating or prohibiting human activities in the protected area. Some common ways in which protected areas achieve conservation goals include:Enforcing regulations, including limits on extractive and polluting activities.Monitoring and managing species, ecosystems and landscapes to ensure their continued viability and integrity.Restoring degraded habitats or managing them for their long-term health and function.

What is a National Park?

A national park is a natural or semi-natural space designated to protect natural and cultural resources. National parks are established by governments to preserve a country's heritage, usually with the aim of promoting recreation and tourism.

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Height = 7cm

Surface area = 462 cm2

The surface area of a cylinder is equal to the area of each circle ( pi x radius^2) plus the area of the side (2 pi x radius x height)

Surface area of a cylinder = pi r2 + pi r2 + 2pi r h

Since it is closed at one end, we only add one circle area:

S = pi r2 + 2pi r h

Replacing with the values given:

462 = pi r^2 + 2pi (r) 7

462 = pi r^2+ 43.98 r

462 -44r = pi r^2

(462-44r)/pi = r^2

147-14r = r^2

0= r^2 +14r -147

(r+21 ) (r-7)=0

r=-21 or r=7

Since it can be negative:

radius = 7

Answer:

He invested approximately $2,215

Step-by-step explanation:

Mr Y invested $2000 in two accounts.

One pays 7%, and the other pays 5%.

At the end of one year, Mr Y earned $155 in interest. We want to know how much Mr Y invested in the account paying 7%.

Let the amount he invested be X, then

7% of X = 155

(7/100)X = 155

0.07X = 155

X = 155/0.07

= 2,215

He invested approximately $2,215

Answer:

(A) Nuclear fission takes place in the nucleus of atoms

Step-by-step explanation:

I took the test!

Given expression:  \(\frac{9x^2 - 1}{12x^2 - 12x} \div \frac{9x^2 + 12x + 3}{3x^2 - 6x + 3}\) . We can simplify the given expression by multiplying the numerator and denominator of the first fraction by (3x-1) and then factorise. So, the simplified expression is \($\frac{3(x-1)^2}{4x(3x+1)(x+1)}$\).

In the second fraction, we can factorise the quadratic expression in the numerator.

=  \(\frac{9x^2 - 1}{12x^2 - 12x} \cdot \frac{3x^2 - 6x + 3}{9x^2 + 12x + 3}\)

= \(\frac{(3x-1)(3x+1)}{12x(x-1)} \cdot \frac{3(x^2 - 2x + 1)}{3(3x^2 + 4x + 1)}\)

Simplify the expression.

= \(\frac{(3x-1)(x-1)}{4x(x-1)} \cdot \frac{(x-1)^2}{(3x+1)(x+1)}\)

= \(\frac{3(x-1)}{4x} \cdot \frac{(x-1)}{(3x+1)(x+1)}\)

= \(\frac{3(x-1)^2}{4x(3x+1)(x+1)}\) . Thus, the simplified expression is \($\frac{3(x-1)^2}{4x(3x+1)(x+1)}$\).

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The height of the frame is 5 inches, which corresponds to option F.

The area encircling a two-dimensional figure is known as its perimeter. Whether it is a triangle, square, rectangle, or circle, it specifies the length of the shape.

The perimeter of the frame is equal to the sum of the lengths of its four sides, which are L, L, H, and H, where L is the length and H is the height of the frame. The perimeter of the picture is equal to the sum of the lengths of its four sides, which are (L - X), (L - X), X, and X, where X is the width of the picture.

According to the problem, the perimeter of the frame is exactly double the perimeter of the picture. Therefore, we can write the following equation:

2[(L + H) x 2] = (L - X) x 2 + X x 2

Simplifying and solving for H, we get:

4L + 4H = 2L + 2X + 2X

2H = 4X - 2L

H = 2X - L

We know that X = 15, L = 25, so:

H = 2(15) - 25 = 5

Therefore, the height of the frame is 5 inches, which corresponds to option F.

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Answer:

\( 85\degree \)

Step-by-step explanation:

By the property of intersecting chords inside a circle.

\( m\angle AEB=\frac{1}{2} (132\degree + 38\degree) \)

\( m\angle AEB=\frac{1}{2} \times 170\degree \)

\( m\angle AEB=85\degree \)

Answer:

x is 7

EF is 10

FG is 12

Step-by-step explanation:

\(EF + FG = EG \\ (4x - 18) + (3x - 9) = 22 \\ 7x - 27 = 22 \\ 7x = 49 \\ x = 7\)

then substitute:

\(EF = 4x - 18 \\ EF = 4(7) - 18 \\EF = 28 - 18 \\ EF = 10\)

\(FG = 3x - 9 \\ FG = 3(7) - 9 \\FG = 21 - 9 \\ FG = 12\)

First question:

BC + BA = CA

BC = CA - BA

BC = 36 - 9

BC = 27

Answer:

\(h = \frac{1}{3} + \frac{g}{3} \)

Step-by-step explanation:

g = 3h - 1

-3h = -1 - g / : (-1)

3h = 1 + g / : 3

\(h = \frac{1}{3} + \frac{g}{3} \)

The equation is rearranged by h = ( g + 1 ) / 3

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

g = 3h - 1

Adding 1 on both sides , we get

3h = g + 1

Divide by 3 on both sides , we get

h = ( g + 1 ) / 3

Hence , the equation is h = ( g + 1 ) / 3

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A and B are events that the next request for assistance is for SPSS or SAS. Therefore,

a. P(A) + P(B) ≠ 1 due to the events A and B not being mutually exclusive; P(A) * P(B) = 0.15 is the probability of both SPSS and SAS being requested.

b. P(A') = 0.70 is the probability of the next request not being for SPSS.

c. P(A ∪ B) = 0.65 is the probability of the next request being for SPSS, SAS, or both.

d. P(A' ∩ B') = 0.35 is the probability of the next request being for neither SPSS nor SAS.

a. The events A and B are not mutually exclusive because it is possible for the next request to be for help with both SPSS and SAS. For example, if the consultant is asked to help with a project that requires the use of both SPSS and SAS, then the request would be considered to be a request for help with both packages.

b. P(A') is the probability that the next request will not be for help with SPSS. This probability can be calculated by subtracting the probability that the request will be for help with SPSS from 1.

c. P(A ∪ B) is the probability that the next request will be for help with SPSS, SAS, or both. This probability can be calculated by adding the probabilities of the events A and B and then subtracting the probability of the event A ∩ B.

d. P(A' ∩ B') is the probability that the next request will be for help with neither SPSS nor SAS. This probability can be calculated by multiplying the probabilities of the events A' and B'.

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Research has shown that competent communicators achieve effectiveness by adjusting their behaviors to the person and situation (option e).

Effective communication involves being adaptable and responsive to the specific context, individual preferences, and the needs of the situation.

Competent communicators recognize that different people have different communication styles, preferences, and expectations. They understand the importance of tailoring their communication approach to effectively connect and engage with others.

This may involve using appropriate language, tone, non-verbal cues, and listening actively to understand the needs and perspectives of others.

By adapting their behaviors, competent communicators can build rapport, foster understanding, and promote effective communication exchanges. They are mindful of the social and cultural dynamics at play, and they strive to communicate in a way that is respectful, inclusive, and conducive to achieving mutual goals.

In summary, competent communicators understand that effective communication is not a one-size-fits-all approach. They adjust their behaviors to the person and situation, demonstrating flexibility and adaptability in order to enhance communication effectiveness.

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Competent communicators achieve effectiveness mostly by adjusting their behaviors to suit the person they are communicating with and the situation they find themselves in. While other factors, like having a broad vocabulary or giving feedback, play a part in effective communication, the former is considered the most crucial.

Research suggests that competent communicators achieve effectiveness mostly through adjusting their behaviors depending on the person they are communicating with and the situation they are in. This is option e. of your question. Communicating effectively involves behaviors like active listening, understanding the other person's point of view, being able to express thoughts and ideas clearly, and being polite and respectful. While a broad vocabulary (option b.) can be useful, it is not as crucial as adapting your behavior to fit the situation. Moreover, giving feedback (option d.) is a part of effective communication but not the sole defining factor. Apologizing when offending others (option c.) is also important but it doesn't necessarily make one a competent communicator. Using the same type of behavior in various situations (option a.) might not always work, as different situations and individuals require different communication styles.

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The normal to the parabola\(z = x^2 + y^2\) at the point (3, 3, 18) intersects the parabola again at the point (-1/3, -1/3, 20).

To find the normal to the paraboloid\(z = x^2 + y^2\) at points (3, 3, 18), we first need to find the slope of the surface at that point. The gradient vector is given by

\(∇f(x,y,z) = < 2x, 2y, -1 >\)

So the gradient vector at points (3, 3, 18) is

∇f(3, 3, 18) = <6, 6, -1>

This gradient vector is orthogonal to the plane tangent to the surface at the point (3, 3, 18). So the surface normal at this point is parallel to the gradient vector and can be expressed as

x = 3 + 6t

y = 3 + 6t

z = 18 - t

To discover where this line converges the parabola once more, we ought to substitute the x, y, and z equations into the parabola's condition. 

\(z = x^2 + y^2\)

So it looks like this:

\(18 - t = (3 + 6t)^2 + (3 + 6t)^2\)

\(18 - t = 18t^2 + 36t + 18\)

\(0 = 18t^2 + 37t\)

t=0 or t=-37/18

The value t = 0 corresponds to the starting point (3, 3, 18), so we are interested in the second value t = -37/18. Substituting this value into the normal equation gives:

x = 3 + 6(-37/18) = -1/3

y = 3 + 6(-37/18) = -1/3

z=18-(-37/18)=360/18=20

therefore, the normal to the parabola \(z = x^2 + y^2\) at the point (3, 3, 18) intersects the parabola again at the point (-1/3, -1/3, 20). 

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Answer:

Car 1

Step-by-step explanation:

Answer: Car 1

Step-by-step explanation:

Notice that the speed of each car is the slope of the line that represents its average speed.

Since the graph of the speed of Car 1 passes through (0,0) and (4,256), we get that its slope is:

256/4 = 64

Therefore the average speed of Car 1 is 64 mi/h.

 Now, since the equation that represents the average speed of Car 2 is in slope-intercept form, we get that its slope is 55.

Therefore the average speed of Car 2 is 55 mi/h.

Answer: Car 1.