Tell whether the angles are complementary, supplementary, or neither.

The number of weeks are 0 1 2 4 7 12

The balances are 24 32 40 56 80 120

The rate of change of the balance of the student's savings account in dollars and cents per week is also referred to as the slope of the graph that can be potted with these values. The formula for slope is expressed as

Slope = (y2 - y1)/(x2 - x1)

y1 and y2 would be consecutive values of the balance

x1 and x2 would be consecutive values of the number of weeks

When x1 = 0, y1 = 24

When x2 = 1, y1 = 32

Slope = (32 - 24)/(1 - 0)

Slope = 8

The rate of change of the balance of the student's savings account in dollars and cents per week is 8 dollars per week. Converting to cents, it would be 800 cents per week

Answer: Let x be the cost of one slice of pizza and y be the cost of one soda.

From the problem, we know that:

6x + 4y = 37 ...(1)

4x + 6y = 33 ...(2)

To solve for x and y, we can use the method of elimination. Multiplying equation (1) by 3 and equation (2) by 2, we get:

18x + 12y = 111 ...(3)

8x + 12y = 66 ...(4)

Subtracting equation (4) from equation (3), we get:

10x = 45

Dividing both sides by 10, we get:

x = 4.50

Substituting this value of x into equation (1), we get:

6(4.50) + 4y = 37

Simplifying, we get:

27 + 4y = 37

Subtracting 27 from both sides, we get:

4y = 10

Dividing both sides by 4, we get:

y = 2.50

Therefore, one slice of pizza costs $4.50 and one soda costs $2.50.

Answer:

Carly will have to attend school for 8 weeks before she takes a total of 24 quizzes.

Step-by-step explanation:

To determine the number of weeks Carly will have to attend school before she takes a total of 24 quizzes, we need to first calculate the proportion of quizzes taken to weeks attended by dividing the number of quizzes taken by the number of weeks attended:

Proportion = Number of quizzes taken / Number of weeks attended

Proportion = 15 quizzes / 5 weeks

Proportion = 3 quizzes / week

Next, we can use this proportion to calculate the number of weeks Carly will have to attend school before she takes 24 quizzes by multiplying the number of quizzes Carly wants to take by the reciprocal of the proportion:

Number of weeks = Number of quizzes / Proportion

Number of weeks = 24 quizzes / 3 quizzes/week

Number of weeks = 8 weeks

Therefore, Carly will have to attend school for 8 weeks before she takes a total of 24 quizzes.

The claim that two situations are similar, despite major differences being ignored and only minor similarities being emphasized, is a fallacy known as false analogy.

False analogy is a logical fallacy that occurs when two situations are compared based on minor similarities while ignoring significant differences. It involves drawing an invalid or weak comparison between two unrelated or dissimilar things. In this fallacy, the person making the claim assumes that because two situations share some superficial similarities, they must be similar in all aspects. However, this overlooks the fundamental differences that make the situations distinct.

For example, if someone argues that banning the use of plastic bags in a city is similar to banning the use of cars, based solely on the fact that both involve restricting a common item, they would be committing a false analogy. While there may be minor similarities between the two situations, such as the concept of imposing restrictions, there are major differences in terms of environmental impact, necessity, and alternatives. Ignoring these significant differences leads to an invalid comparison and can result in flawed reasoning.

In conclusion, false analogy occurs when two situations are deemed similar based on minor similarities while disregarding major differences. It is essential to carefully evaluate the relevant factors and understand the nuances of each situation before drawing comparisons to ensure logical and valid arguments.

Learn more about fundamental here:

https://brainly.com/question/31801938

#SPJ11

Answer:

Slope:-1/3

y-intercept: (0,2)

x        y

0       2

6       0

Hope this helps a little

Answer:

id.k srry

Step-by-step explanation:

Answer: Oslo was colder

Step-by-step explanation: The other one was -5 and this won is -12 so Oslo is colder!! Hope it helped! :)

Step-by-step explanation:

The answer is B and C

If you need any explanation in it or anything on math you can communicate with me on Whats on this number +201557831028 or in email or face or anything

Answer:

Calculate the skid speed by multiplying the drag factor times the braking efficiency times the skid distance times 30 and taking the square root of the result. For example, if the car skidded 120.5 feet on a road with a drag factor of 0.5 and left four skid marks, the car was going about 42.51 mph.

Step-by-step explanation:

Answer:

Solution given:

65mph

divide the speed value by 2.237

65/2.237=29.05m/s

So

speed =29.05 m/s

now we have

.speed =~30 d (0.5)

29.05/30=0.5d

d=0.96855/0.5

d=1.93

So

the length of the skid marks to be is 2 m.

Answer:

You separate all this number then you put them in ascending order then you start to draw a line to get your median so our median is 25

The steady-state response yss(t) for the given function can be expressed as yss(t) = A e^(-t) + (B cos(t) + C sin(t)), where A, B, and C are constants determined based on the specific problem context or initial conditions.

The steady-state response, denoted as yss(t), can be obtained by taking the Laplace transform of the given function y(s) and f(s), and then using the properties of Laplace transforms to simplify the expression. The Laplace transforms of y(s) and f(s) can be multiplied together to obtain the steady-state response yss(t).

Given the Laplace transform representations:

y(s) = 10s^2 / (s + 1)

f(s) = 9 / (s^2 + 1)

To find the steady-state response yss(t), we multiply the Laplace transforms of y(s) and f(s) together, and then take the inverse Laplace transform to obtain the time-domain expression.

Multiplying y(s) and f(s):

Y(s) = y(s) * f(s) = (10s^2 / (s + 1)) * (9 / (s^2 + 1))

To simplify the expression, we can decompose Y(s) into partial fractions:

Y(s) = A / (s + 1) + (B s + C) / (s^2 + 1)

By equating the numerators of Y(s) and combining like terms, we can solve for the coefficients A, B, and C.

Now, taking the inverse Laplace transform of Y(s), we obtain the steady-state response yss(t): yss(t) = A e^(-t) + (B cos(t) + C sin(t))

The coefficients A, B, and C can be determined by applying initial conditions or other information provided in the problem. Therefore, the steady-state response yss(t) for the given function can be expressed as yss(t) = A e^(-t) + (B cos(t) + C sin(t))

to learn about steady-state response, click: brainly.com/question/30902002

#SPJ11

Answer:

XXX

Step-by-step explanation:

10+10+10 if that helps

The inequality \($uv^2 \leq (uv)^2$\) holds for any vectors u and v in \(R^2\). Equality holds when the vectors u and v are collinear or when one of them is the zero vector.

To prove the inequality \($uv^2 \leq (uv)^2$\), we can start by expressing the dot product of u and v in terms of their components. Let u = (\(u_1, u_2\)) and v = (\(v_1, v_2\)).

Then, the dot product of u and v is given by\(uv = u_1 v_1 + u_2 v_2\).

Now, consider the squared length of the projection of u onto v.

This can be calculated as \((uv)^2\) / \(||v||^2\), where ||v|| represents the length of vector v.

Since ||v||^2 = vv, we have \((uv)^2\) /\(||v||^2\) = \((uv)^2\) / (\($v \cdot v$\)).

On the other hand, the squared length of vector u can be expressed as \(u\cdot u = u1^2 + u2^2\).

Now, we can compare the two expressions: \(uv^2\) and \((uv)^2\) / (vv).

By substituting the expression for uv, we get \(uv^2\) = \((u_1 v_1 + u_2 v_2)^2\), and by substituting the expressions for \(||v||^2\) and uu, we get \((uv)^2\) / (vv) = (\(u_1^2 v_1^2 + u_2^2 v_2^2\)) / (\(v_1^2 + v_2^2\)).

It can be shown that \((u_1 v_1 + u_2 v_2)^2 \geq (u_1^2 v_1^2 + u_2^2 v_2^2)\) for any real numbers \(u_1, u_2, v_1, v_2\). Therefore, \(uv^2\) ≤ \((uv)^2\) / \((vv)\), which implies \(uv^2\) ≤ \((uv)^2\).

Equality holds in the inequality \($uv^2 \leq (uv)^2$\) when the vectors u and v are collinear or when one of them is the zero vector.

Geometrically, this inequality represents the fact that the squared length of the projection of vector u onto vector v is always less than or equal to the squared length of the projection of u onto v.

When the vectors are collinear, their projections coincide and the inequality becomes an equality. Similarly, when one of the vectors is the zero vector, its projection onto any other vector is zero, resulting in equality as well.

Learn more about dot product here:

https://brainly.com/question/29097076

#SPJ11

The condition for the first dark fringe through a single slit of width w is when the path difference between the light waves at the edges of the slit equals a half wavelength= (λ/2).

This can be expressed mathematically as:
w * sin(θ) = (m + 1/2) * λ, where m = 0 for the first dark fringe, w is the slit width, θ is the angle of the dark fringe from the central maximum, and λ is the wavelength of light.
When light passes through a single slit, it diffracts and creates an interference pattern with alternating bright and dark fringes on a screen. The dark fringes occur when light waves from the edges of the slit interfere destructively, which means their path difference must be an odd multiple of half a wavelength (λ/2).
For the first dark fringe, we set m = 0 in the equation:
w * sin(θ) = (0 + 1/2) * λ
So, the condition for the first dark fringe is:
w * sin(θ) = λ/2

Hence, The condition for the first dark fringe through a single slit of width w is when the path difference between the light waves at the edges of the slit equals a half wavelength (λ/2). This can be represented by the equation w * sin(θ) = λ/2.

learn more about first dark fringe click here:

https://brainly.com/question/27548790

#SPJ11

Because the sample statistic centers around a different value than the population parameter, the sample mean absolute deviation is a biased estimator of the population mean absolute deviation.

Reason Behind a Biased Estimator

The expected value (average) of all the sample absolute deviations must match the population absolute deviation in order for the absolute deviation to function as an unbiased estimator. It does not, however, which makes the values of sample mean absolute deviation behave as a  biased estimator.

Brief Description of Sample Mean Absolute Deviation

The average of the absolute deviations from a central point makes up the average absolute deviation of a data collection. It is a statistical summary of statistical variability or dispersion.

Learn more about biased estimator here:

https://brainly.com/question/26415101

#SPJ4

Variable cost is the cost that changes with the level of production. It includes direct materials, direct labor, and variable overhead.

It does not include fixed costs such as staff and management salaries, equipment and facility costs, and material handling and freight.

Variable cost is a cost that fluctuates with the level of production. It includes the resources and materials required to produce a product or service and can change with the level of production. Examples of variable costs include direct materials, direct labor, and variable overhead. These costs are not fixed and can fluctuate depending on the level of production. They do not include fixed costs such as staff and management salaries, equipment and facility costs, and material handling and freight, which remain constant regardless of the production level. Variable costs can be managed through careful planning and control, allowing companies to maximize their profits.

The complete question is :

What is variable cost and what does it include?

A) raw materials and resources.B) staff and management salaries.C) material handling and freight.D) direct labor and packaging.

Learn more about variable here

https://brainly.com/question/29430246

#SPJ4

Answer:

_16,-13,-9,0

Step-by-step explanation:

hope this helps u out!!

Test the claim that the proportion of people who own cats is significantly different than 70% at the 0.02 significance level. The p-value is 0.024.

The null and alternative hypotheses for the claim that the proportion of people who own cats is significantly different than 70% at the 0.02 significance level are:

H0: p = 0.7 (null hypothesis

)H1: p ≠ 0.7 (alternative hypothesis)

The test is a two-tailed test because the alternative hypothesis includes not equal to (<>) which means either p is less than 0.7 or greater than 0.7

Based on a sample of 500 people, 62% owned cats.

This means that the sample proportion, p = 0.62.

To calculate the p-value, we will use the z-test statistic.

The formula for calculating the z-test statistic is given as:

z = (p - P) / √(PQ/n) where P is the hypothesized proportion (P = 0.7), Q is the complement of P (Q = 1 - P), and n is the sample size.

Using the given values in the formula, we have; z = (0.62 - 0.7) / √(0.7 × 0.3 / 500) = -2.52

The p-value for a two-tailed test at 0.02 level of significance is obtained from the standard normal table.

The area in both tails beyond the z-score of 2.52 is 0.012.

Therefore, the p-value is:

p-value = 2 × 0.012 = 0.024

To learn more about p-value

https://brainly.com/question/13786078

#SPJ11

If you have been asked to assemble a two person team from among your five person team, then there are 10 different teams

Total number of members for the team = 5

Number of members that we need to assemble = 2

Here we have to use the combination

The combination is defined as the number of ways of selecting samples from the collection and the order of the collection does not matter

The number of combination of 2 members from a 5 member team = \(5C_2\)

= 5! / 2!(5-2)!

= 5! / 2! × 3!

= (5 × 4 × 3!) /(2! × 3!)

= (5 × 4) / 2

= 20 / 2

= 10

Therefore, there are 10 different teams

Learn more about combination here

brainly.com/question/28720645

#SPJ4

The integers that makes the solution set False are 2, 54 and 86

From the question, we have the following parameters that can be used in our computation:

7m − 11 = 5m + 43

Evaluate the like terms

So, we have the following representation

2m = 54

Divide by

m = 27

This means that the integers are 2, 54 and 86

To determine which values make the equation false, we solve for m in the equation

Read more about equation at

https://brainly.com/question/2972832

#SPJ1

The number of multisets of size 5 that can be made using the 10 numeric digits 0 through 9 can be calculated using the formula:

(n + k - 1) choose k

where n is the number of numeric digits (10) and k is the size of the multiset (5).

So, the answer is:

(10 + 5 - 1) choose 5 = 14 choose 5 = 2002

Therefore, there are 2002 multisets of size 5 that can be made using the 10 numeric digits 0 through 9.

Answer: 2002.

Learn more about multisets

brainly.com/question/30591520

#SPJ11

Four sides and one angle, three sides and two included angles, or two neighboring sides and three angles, to construct a unique quadrilateral.

If the two diagonals and three sides of a quadrilateral are known, it is possible to create it in a singular way. If the two neighboring sides and three angles of a quadrilateral are known, it can be built in an original fashion.

A polygon called a quadrilateral has four sides, four angles, and four vertices. If the size of a quadrilateral's sides and diagonal are known, it is possible to create it in a singular way.

They must have the same number of sides as angles because they are polygons and have four angles. Every quadrilateral has inner angles that sum to 360 degrees.

To learn more about unique quadrilateral refer to:

https://brainly.com/question/29615485

#SPJ1

Based on the information given the real interest rate is 1.75%.

Using this formula

Real interest rate =Nominal interest rate − Inflation rate

Where:

Nominal interest rate=4.00%

Inflation rate=2.25%

Let plug in the formula

Real interest rate=4.00%-2.25%

Real interest rate=1.75%

Inconclusion the real interest rate is 1.75%.

Learn more about real interest rate here:https://brainly.com/question/6106690

The f′(a) when a = −6 is -7. This means that the slope of the tangent line of the graph of f(x) at x = -6 is -7.

To compute f′(a) algebraically for the given value of a, we use the following differentiation rule which is known as the Power Rule.

This states that:If f(x) = xn, where n is any real number, then f′(x) = nxⁿ⁻¹This is valid for any value of x.

Therefore, we can differentiate f(x) = −7x + 5 with respect to x using the power rule as follows:

f(x) = −7x + 5

⇒ f′(x) = d/dx (−7x + 5)

⇒ f′(x) = d/dx (−7x) + d/dx(5)

⇒ f′(x) = −7(d/dx(x)) + 0

⇒ f′(x) = −7⋅1 = −7

Hence, the derivative of f(x) with respect to x is -7.Now, we evaluate f′(a) when a = −6 as follows:f′(x) = −7 evaluated at x = −6⇒ f′(−6) = −7

Therefore, f′(a) when a = −6 is -7. This means that the slope of the tangent line of the graph of f(x) at x = -6 is -7.

Learn more about Power Rule here:

https://brainly.com/question/23418174

#SPJ11

Answer:

7

Step-by-step explanation:

I hope this helps!

The quotient of −105 and −15 is 7. Therefore, option B is the correct answer.

We need to find the quotient of −105 and −15.

The number results from the division of one number by another.

Now, −105÷(-15)=7

Therefore, option B is the correct answer.

To learn more about the quotient visit:

https://brainly.com/question/27796160.

#SPJ6

Answer:

Volume of pyramid is 1/3 * area of base * height

Step-by-step explanation:

Plug it in

1/3 * 48 * 10 = 160 cm^2

1/3*48*15 = 240 cm^2

Answer: 257

Step-by-step explanation:

Given that:

a3 = 59

a7 = 103

The nth term of an Arithmetic Progression (A. P) is given by:

an = a1 + (n-1)d

Where a1 = first term of the sequence ;

d = common difference

Therefore a3 = 59 can be represented thus:

a3 = a1 + (3-1)d = 59

a3 = a1 + 2d = 59 - - - - (1)

a7 = 103

a7 = a1 + (7-1)d = 103

a7 = a1 + 6d = 103 - - - - - (2)

Subtracting (2) from (1)

(2d - 6d) = (59 - 103)

-4d = - 44

d = 11

Substitute d= 11 into (1)

a1 + 2d =59

a1 + 2(11) = 59

a1 + 22 = 59

a1 = 59 - 22

a1 = 37

The 21st term:

a21 = a1 + (21 - 1)d

a21 = 37 + 20(11)

37 + 220 = 257

Given:

A set of all points in a plane that are a given distance from a point.

Required:

To choose the correct option for the given definition.

Explanation:

A circle is the set of all points in a plane that are equidistant from a given point called the center of the circle.

Final Answer:

A set of all points in a plane that are a given distance from a point is called circle.

I really hope this helped you in some way. sorry I took so long!! Good luck :)