graph a line that contains the point (3,-6) and has slope of -1/2​

Answer: $208.75

Step-by-step explanation:

8.25x5= 41.25    250-41.25= 208.75

Answer:

$8.25 x 5 days = $41.25

$250 - $41.25 = $208.75

Kayla has $208.75 in her bank after going to Dunkin' Donuts five days a row.

Step-by-step explanation:

PLS mark as brainliest answer, please??

thanks

Answer:

855.298 m^3

Step-by-step explanation:

The volume of a cylinder equation is piR^2H.

So pi5.5^2×9

855.298 m^3

Answer:

EG = 16

Step-by-step explanation:

Given a segment joining the midpoints of 2 sides , then the segment is half the measure of the third side, thus

EG = 2 × BC = 2 × 8 = 16

Answer:

Step-by-step explanation:

(-2)*(-4.5)=9

(-8.7)*(-10)=87

-7x=14

x=14/-7=-2

?=-2

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

-10x=90

x=90/-10

x=-9

Answer:

28

Step-by-step explanation:

l = length

w = width

p = perimeter

w = w

l + l + w + w = p (adding all the rectangle's sides together gets us our perimeter)

l = 2w + 4 (four more than twice the width)

Substitute 2w + 4 for 'l' in the original equation

(2w + 4) + (2w + 4) + w + w = 80

Solve equation normally:

6w + 8 = 80

6w = 72

w = 72/6 = 12

(w = 12)

Length = 2w + 4

Substitute 12 for 'w':

2(12) + 4 = l

24 + 4 = l

28 = l

The length is 28

_______________________________

Hey!!

Solution,

Radius(r)=1

Area of circle=?

Now,

Area of circle= pi (r)^2

= 3.14* (1)^2

=3.14* 1

=3.14 units^2

So the right answer is 3.14 units^2.

Hope it helps....

Good luck on your assignment

_____________________________

Answer:

x=5 .........................................

The space-mean speed of the four vehicles is approximately 64 mph.

The given information about the speeds of four vehicles measured at the midpoint of a roadway section are as follows:Vehicle Speed (mph)A 55B 50C 74D 78The space-mean speed of the four vehicles can be found out by the following formula:Space-mean speed = {Sum of the individual speeds of the vehicles}/{Number of vehicles}Space-mean speed = (55 + 50 + 74 + 78)/4Space-mean speed = 257/4Space-mean speed ≈ 64 mph (rounded to the nearest mph)

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Answer:

D BOTTOM RIGHT

Step-by-step explanation:

Answer:

yellow

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

its not 3 bc from a to b its getting smaller

Answer:

x=5

Step-by-step explanation:

10+2x -4= 2x+1+x

6+2x=3x+1

6=x+1

5=x

The first step we take is to find the area of the square since the area of the square is equal to the area of the rectangle

       \(area-of-rectangle = area- of-square\\area-of-rectangle = 8*8 = 64in^2\)

Another fact we know is that the length of the rectangle is four times the width.

      L = 4W

Now let's put the variables, found above, into the format to find the area of the rectangle

  \(area-of-rectangle = L * W, (L = 4W)\\area-of-rectangle = 4W * W\\\\64 = 4W^2\\16 = W^2\\\\W^2 = 16\\\\W = 4\)

Since the Width is 4, L = 4 * W = 4 * 4 = 16 in.

So the length is 16 inches

Hope that helps!

Given the function `f(x, y) = x² - 2xy + 2y`.To find the critical point of the given function, we need to take partial derivatives with respect to x and y and set them equal to zero.

Partial derivative with respect to x `f_x(x,y) = 2x - 2y`Partial derivative with respect to y `f_y(x,y) = -2x + 2`Now, we need to solve these equations for x and y:`f_x(x,y) = 2x - 2y = 0` `=> 2x = 2y` `=> x = y` -------------(1)`f_y(x,y) = -2x + 2 = 0` `=> -2x = -2` `=> x = 1` -------------(2)

Using equations (1) and (2)`y = x = 1`Hence, the critical point of f(x, y) = x² - 2xy + 2y is `(1, 1)`The correct option is a) (1,1).

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We conclude that less than 30% of teen girls smoke to stay thin.

Let p be the percentage of teen girls who smoke to stay thin.

So, the Null Hypothesis,(\(H_{0}\)):

p≥ 30%

This means that at least 30% of teen girls smoke to stay thin

Alternate Hypothesis,(\(H_{A}\)) :

p < 30%

This means that less than 30% of teen girls smoke to stay thin.

The test statistics that would be used here

One sample z proportion statistics:

T.S = p' - p/ \(\sqrt{p'(1-p')/n}\) ≈N( 0,1)

Here p'= sample percent of teen girls who smoke to stay thin = 63/ 273 = 0.231

n = number of sample of teen girls = 273

Now putting these values we have:

Test statistics = 0.231 - 0.30/ \(\sqrt{0.231( 1- 0.231)/ 273}\)

                      = -2.705

So we get the value of z-test statistics as - 2.705.

As there is not provided in the question that the level of significance so we assume it to be 5%. Now at a 5% significance level, the z table gives the critical value of -1.645 for left- the tailed test.

As test statistics is less than the critical value of z that is -2.705< -1.645. So we reject our null hypothesis as will fall in reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore we get that less than 30% of teen girls smoke to stay thin.

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Answer:

83 degrees

Step-by-step explanation:

The angles 56 and 41 plus the one in between should add up to 180 degrees. So you do 180 - 56 - 41 = 83.

83 and x are vertical angles so they are the same measure.

<x = 83 degrees

hope this helps! :)

On solving the provided question, we can say that In light of this, the lowest common denominator of the equation is (x - 4)(x + 1)(x - 2) (x - 2)

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

equation is given as:

x2 — 3x — 4 = x2 — Ox + 8

x2 — 4x + x — 4 =

x(x — 4) + I(x — 4)

Factor out x - 4

(x + I)(x — 4) = x-2(x-4)

The common factor between the two sides of the equation is x – 4.

In light of this, the lowest common denominator is (x - 4)

(x + 1)(x - 2) (x - 2)

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Yes, when graphing two variables and observing an upward slope as you move from left to right, it indicates a positive relationship between the variables.

As one variable increases, the other variable also tends to increase. This positive correlation can be visually represented by a line that slopes upward in a graph. It implies that there is a direct and proportional relationship between the variables being studied.

But downward-sloping line indicate a negative relationship, where as one variable increases, the other variable tends to decrease. The slope of the line provides insights into the magnitude and direction of the relationship between the variables.

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you can simplify this expression to obtain the numerical value of dg/dθ at the point (r, θ) = (2√2, π/4).

To evaluate the partial derivative dg/dθ using the Chain Rule, we need to calculate the derivatives of g with respect to x and y, and then multiply them by the partial derivative of x and y with respect to θ. Let's proceed step by step.

Given:

g(x, y) = 1/(8x + 4y^2)

x = rsin(θ)

y = rcos(θ)

(r, θ) = (2√2, π/4)

Step 1: Find the partial derivatives of g with respect to x and y.

∂g/∂x = -(1/(8x + 4y^2)^2) * (8) = -8/(8x + 4y^2)^2

∂g/∂y = -(1/(8x + 4y^2)^2) * (8y^2) = -8y^2/(8x + 4y^2)^2

Step 2: Find the partial derivatives of x and y with respect to θ.

∂x/∂θ = r*cos(θ)

∂y/∂θ = -r*sin(θ)

Step 3: Evaluate the partial derivative dg/dθ at the given point.

Substituting the values r = 2√2 and θ = π/4 into the partial derivatives, we have:

∂g/∂x = -8/(8x + 4y^2)^2 = -8/(8(2√2) + 4(2√2)^2)^2 = -8/(16√2 + 32)^2

∂g/∂y = -8y^2/(8x + 4y^2)^2 = -8(2√2)^2/(8(2√2) + 4(2√2)^2)^2 = -32/(16√2 + 32)^2

∂x/∂θ = r*cos(θ) = (2√2)*cos(π/4) = 2

∂y/∂θ = -r*sin(θ) = -(2√2)*sin(π/4) = -2

Finally, we can calculate the partial derivative dg/dθ using the Chain Rule:

dg/dθ = (∂g/∂x) * (∂x/∂θ) + (∂g/∂y) * (∂y/∂θ)

Substituting the partial derivatives we calculated earlier:

dg/dθ = (-8/(16√2 + 32)^2) * 2 + (-32/(16√2 + 32)^2) * (-2)

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Answer:

(-8,1)

Step-by-step explanation:

You can substitute one equation into the other to work this out.

Since y=2x+17, we can replace y in the first equation with 2x+17, giving a result of -x+2x+17=9.

From there, you can combine the x (-1x+2x=1x) to get x+17=9.

Subtracting 7 from both sides isolates x, leaving x=-8.

We can use the x value to work out the y by substituting it into either equation (I'm going to use the second one).

This gives y=2×-8+17, which can be solved to y=-16+17, and further to y=1.

This makes the point of intersection (-8,1), as those are the shared values.

**This involves simultaneous equations, which you may wish to revise. I'm always happy to help!

The blue line represents the curve of the function that is being integrated. The green line represents the area under the curve between the lower and upper limits of integration. The yellow line represents the area between the two points on the curve. The red dot is the lower limit of integration, and the yellow dot is the upper limit of integration.

Integration is a way of finding the area under a function. The lower limit of integration is the point at which the area starts to be measured, while the upper limit of integration is the point at which the area stops being measured.

When calculating the area under the curve between two points, the lower and upper limits of integration can be identified by the red and yellow dots.

To calculate the area between the two points, we will use the formula for integration. This involves taking the integral of the function between the lower and upper limits of integration. This is done by summing the area of each small slice of the function between the two points.

Once the area under the curve is found, it can be compared to the area represented by the green line. If the green line is larger than the area under the curve, then the area under the curve will be negative. If the area under the curve is larger than the green line, then the area under the curve will be positive.

By comparing the green line to the area under the curve, it is possible to determine whether the area is positive or negative. This can help to solve mathematical problems that require integration.

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The number is missing in the last step in the quadratic equation is 200. Then the correct option is D.

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The quadratic equation is 8x² + 80x = −5

On adding and subtracting 200 on both sides, we have

8x² + 80x + 200 = −5 + 200

8 (x² + 10x + 25) = −5 + 200

Thus, the number is missing in the last step in the quadratic equation is 200. Then the correct option is D.

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Answer:

The length is 35 inches and the width is 15 inches.

Step-by-step explanation:

First work of the real length of the field. Given is the ratio of drawing to original and the dimensions of the drawing. so in real life the lawn measures 70 inches in length and 30 inches in width.

Now, we have to divide this in the ratio 1:2, which gives

The length of 35 inches and the width of 15 inches.

Hope this helps

Answer:

Your answer is 3 or C.. 35 inches and width of 15 :)

Step-by-step explanation:

The item on the University Bookstore's survey, asking respondents to share in their own words what they like least about textbook shopping, would be an example of an open-ended question. ..

An open-ended question allows respondents to provide detailed and personalized responses, without limiting them to predetermined choices or options. In this case, the question does not provide specific answer choices or options for respondents to choose from, but instead encourages them to freely express their thoughts and experiences regarding the least preferred aspects of textbook shopping.

Open-ended questions like this can provide valuable insights and feedback, as they allow for a wide range of responses and allow respondents to fully explain their opinions.

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Answer:

250,000,000 or 250000000

...........................

An improper subset of set T contains all the elements of set T and a null element. The improper subset of set T is {2,3}  

In mathematics, set A is a subset of a set B if all elements of A are also elements of B; B is then a superset of A. It is possible for A and B to be identical;

A) Integers are whole numbers (without fractions) that are either positive or negative. If T={x:X is an integer between 1 and 4}, therefore the elements in set T = {2, 3}

B)  Since the elements in set T = {2, 3}, then the number of elements in set T = 2

C) The subsets of set T are {}, {2}, {3} and {2,3}

D) Proper subset of set T are subsets of T that is not equal to T. The proper subsets of T are {2} and {3}

An improper subset of set T contains all the elements of set T and a null element. The improper subset of set T is {2,3}  

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Answer:

A measure of exposure-disease association one could use is the odds ratio (OR)

Step-by-step explanation:

An Odds ratio (OR) is a statistical measure quantifying the level of association between two events such as an exposure and an outcome

The odds ratio gives the probability of outcome where there is a given amount of exposure

We have the table;

\(\begin{array}{ccc}&Developed \ lung \ cancer& Did \ not \ develop \ lung \ cancer\\Smokers&50&350\\Non-smokers&10&590\end{array}\)

The odds ratio = (The number of smokers with the lung-cancer)/(The number of non-smokers with lung-cancer) ÷ (The number of smokers smokers without long cancer).(The number of non-smokers without long cancer)

∴ OR = (50/10) ÷ (350/590) = 59/7 = 8.\(\overline{428571}\) ≈ 8.4

Therefore, a smoker is approximately 8.4 times more likely to develop lung cancer than a non-smoker.