Solve for w.
3w+2w= 10
Simplify your answer as much as possible.
W =

Step-by-step explanation:

2.25

6.4

4

1.333

Hope is will help you

The greater unit rate of the two functions is 2. The greater y-intercept of two functions is 6.

Unit rate can be defined as the ratio between two measurements with the second term as 1. It is considered to be different from a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity.

From the given table, (0, 5) and (5, 15)

Here, slope(m)=(y2-y1)/(x2-x1) =(15-5)/(5-0)

= 10/5

= 2

Substitute m=2, (x, y)=(0, 5) in y=mx+c, we get

5=2(0)+c

c=5

Substitute m=2, c=5 in y=mx+c, we get

y=2x+5 --------(I)

From the graph, (-4, 0) and (0, 6)

Here, slope(m)=(6-0)/(0+4)

= 3/2

= 1.5

Substitute m=1.5, (x, y)=(0, 6) in y=mx+c, we get

6=1.5(0)+c

c=6

Substitute m=1.5, c=6 in y=mx+c, we get

y=1.5x+6 --------(II)

Therefore, the greater unit rate of the two functions is 2. The greater y-intercept of two functions is 6.

To learn more about the unit rate visit:

https://brainly.com/question/11258929.

#SPJ1

Answer:

\(\huge\boxed{\sf Option \ 4}\)

Step-by-step explanation:

y = The total cost

x = The number of movie tickets.

So, The equation that represents the function is:

y = 10.25 x

This shows that the total cost is equal to the cost of 1 ticket multiplied by the no. of tickets.

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

(0,5), (0,12.5)

Step-by-step explanation:

the top right side is the positive side

Answer:

probably -3, -1 bc it is local to origin and the minimum in that situation. I just got into this topic myself so I'm not exactly sure

Answer:

\(C(t)=125\cdot 0.9^t\)

Step-by-step explanation:

Exponential Decay Function

The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.

An exponential decaying function is expressed as:

\(C(t)=C_o\cdot(1-r)^t\)

Where:

C(t) is the actual value of the function at time t

Co is the initial value of C at t=0

r is the decaying rate, expressed in decimal

The doctor prescribed 125 milligrams of a therapeutic drug. It decays by 10% each hour. The initial value is Co=125 and the decay rate is r=0.1 per hour. Substituting into the function:

\(C(t)=125\cdot(1-0.1)^t\)

Operating:

\(\mathbf{C(t)=125\cdot 0.9^t}\)

Where t is expressed in hours.

A set of numbers that can represent the side lengths, in centimeters, of a right triangle is any set that satisfies the Pythagorean theorem, where the square of the hypotenuse's length is equal to the sum of the squares of the other two sides.

A right triangle is a type of triangle that contains a 90-degree angle. According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Let's consider a set of numbers that could represent the side lengths of a right triangle in centimeters.

One possible set could be 3 cm, 4 cm, and 5 cm.

To verify if this set forms a right triangle, we can apply the Pythagorean theorem.

Squaring the length of the shortest side, 3 cm, gives us 9. Squaring the length of the other side, 4 cm, gives us 16.

Adding these two values together gives us 25.

Finally, squaring the length of the hypotenuse, 5 cm, also gives us 25. Since both values are equal, this set of side lengths satisfies the Pythagorean theorem, and hence forms a right triangle.

It's worth mentioning that the set of side lengths forming a right triangle is not limited to just 3 cm, 4 cm, and 5 cm.

There are infinitely many such sets that can be generated by using different combinations of positive integers that satisfy the Pythagorean theorem.

These sets are known as Pythagorean triples.

Some other examples include 5 cm, 12 cm, and 13 cm, or 8 cm, 15 cm, and 17 cm.

In summary, a right triangle can have various sets of side lengths in centimeters, as long as they satisfy the Pythagorean theorem, where the square of the hypotenuse's length is equal to the sum of the squares of the other two sides.

For similar question on hypotenuse's.

https://brainly.com/question/30390037  

#SPJ8

Sum

Mean = (4.1 + 3.2 + 2.8 + 2.6 + 3.7 + 3.1 + 9.4 + 2.5 + 3.5 + 3.8) / 10

Mean = 36.7 / 10

Mean = 3.67

To find the median, we need to put the values in order:

2.5, 2.6, 2.8, 3.1, 3.2, 3.5, 3.7, 3.8, 4.1, 9.4

The middle number is the median, which is 3.35 in this case (3.2+3.5)/2.

To find the mode, we look for the value that appears most often. In this case, there is no mode as no value appears more than once.

To find the first quartile (Q1), we need to find the value that separates the bottom 25% of the data from the top 75%. We can do this by finding the median of the lower half of the data:

2.5, 2.6, 2.8, 3.1, 3.2

The median of this lower half is 2.8, so Q1 = 2.8.

To find the third quartile (Q3), we need to find the value that separates the bottom 75% of the data from the top 25%. We can do this by finding the median of the upper half of the data:

3.7, 3.8, 4.1, 9.4

The median of this upper half is 3.95, so Q3 = 3.95.

To find the outlier, we can use the rule that any value more than 1.5 times the interquartile range (IQR) away from the nearest quartile is considered an outlier. The IQR is the difference between Q3 and Q1:

IQR = Q3 - Q1

IQR = 3.95 - 2.8

IQR = 1.15

1.5 times the IQR is 1.5 * 1.15 = 1.725.

The only value that is more than 1.725 away from either Q1 or Q3 is 9.4. Therefore, 9.4 is the outlier in this data set.

Answer:

Step-by-step explanation:

Mean is the average of the data vales : 38.7 (sum of all values) divided by 10 (the number of values).  Mean = 38.7/10 = 3.87

Median is the "middle" number" = put the date in order and find the middle value:

2.5, 2.6, 2.8, 3.1, 3.2, 3.5, 3.7, 3.8, 4.1, 9.4, since there is no middle data value, find the average of the 2 in the middle.

3.2 + 3.5/2 = 6.7 ÷ 2 = 3.35 - median

All values appear once so there is no mode.

First quartile is the middle of the lower set of data = 2.8

Third quartile is the middle of the upper set = 3.8

The outlier is 9.4.

How to calculate the outlier:

First you need the IQR which is the diffence of Q3 - Q1,

so the IQR is 3.8- 2.8 = 1

Outliers are the quartile + or - (1.5)(IQR)

Q1 -(1.5)(1) = 2.8 - 1.5 = 1.3

Q3 - (1.5)(1)= 3.8 + 1.5 =4.5

So anything below 1.3 or above 4.5 is an outlier.

There is one 9.4

Answer:

24 is the answer

Step-by-step explanation:

1/4x4=2 per 1/2 week she can make 4

1/2x4=8 per week

and 8x3=24 so 24 per week

I hope this helped :)

Answer:

  $459.65

Step-by-step explanation:

The total number of cartons you filled was ...

  210 +175 +224 +160 +216 +90 = 1075

so your pay for filling those is ...

  $0.41 × 1075 = $440.75

You get an additional amount of pay for the cartons filled on Saturday:

  $0.21 × 90 = $18.90

So your pay for the week is ...

  $440.75 +18.90 = $459.65

Answer:

x+14y

Step-by-step explanation:

9x+2y-8x+12y

x+14y

The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

for more such questions on sampling method

https://brainly.com/question/13219833

#SPJ8

It is important to note that sharing or requesting specific keys or answers to educational materials, including guided notes, would be considered unethical and potentially a violation of academic integrity.

Guided notes are intended to assist students in actively engaging with course material and enhancing their learning experience. It is recommended that you approach your teacher or instructor for any clarification or additional resources you may need to fully understand the content.

They are in the best position to provide you with the necessary guidance and support.

Instead of seeking shortcuts or unauthorized access to answers, it is more beneficial to invest time and effort in studying, asking questions, and actively participating in your educational journey.

This approach will not only help you grasp the subject matter more effectively but also promote personal growth and knowledge development.

For more such questions materials,click on

https://brainly.com/question/19626626

#SPJ8

Answer:

1. y=kx k is the constant of variation

2. y= 12x is in this form

3. with k= 12

Step-by-step explanation:

hope this helps! can i get brainliest :)

4 is the constant of proportionality of given graph.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given,

The graph of the relationships ( dogs,cost) is a line that contains the points(0,0) (3,12) and (6,24).

We need to find the constant of proportionality

The constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship.

To find the constant of proportionality, we have to divide the value of y by x.

12/3=4

24/6=4

Hence, 4 is the constant of proportionality of given graph.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ1

Answer:

  x = 11°

Step-by-step explanation:

You want to know the value of x given a triangle with exterior angles 147°, 4x, and an interior angle of x at the third vertex.

The exterior angle of the triangle at B is the supplement of x: 180°-x. The sum of the exterior angles of a polygon is 360°, so we have ...

  147° +4x +180° -x = 360°

Collecting terms, we have ...

  327° +3x = 360°

  3x = 33° . . . . . . . . . subtract 327°

  x = 11° . . . . . . . . . . divide by x

The measure of the angle ∠A obtained from the congruency between the triangles ΔABC and ΔA'B'C', (formed by the rotation of ΔABC, which is a rigid transformation) is 40°

A rotation transformation is a rigid transformation of a pre-image by turning the pre-image about a fixed point or axis.

A rotation transformation is a rigid transformation and therefore, the distances between corresponding pairs of points is maintained such that the lengths of the corresponding sides of the pre-image and the image are congruent, therefore, the triangle ΔABC and the triangle ΔA'B'C' are congruent.

The angle ∠A in triangle ΔABC = 40°

The angle ∠C' in triangle ΔA'B'C' = 105°

Angle ∠A ≅ Angle ∠A' by Corresponding Angles of Congruent Triangles are Congruent, CACTC.

Therefore, ∠A = ∠A' (definition of congruency)

∠A' = ∠A = 40° (symmetric property)

The measure of angle ∠A = 40°

Learn more about rigid transformation here:

https://brainly.com/question/27265321

#SPJ1

The solution is,  the domain is: x ∈ (-∞, ∞).

Here, we have,

When we have two functions, f(x) and g(x), the composite function:

(f°g)(x)

is just the first function evaluated in the second one, or:

f( g(x))

And the domain of a function is the set of inputs that we can use as the variable x, we usually start by thinking that the domain is the set of all real numbers, unless there is a given value of x that causes problems, like a zero in the denominator, for example:

f(x) = 1/(x + 1)

where for x = -1 we have a zero in the denominator, then the domain is the set of all real numbers except x = -1.

Now, we have:

f(x) = x^2

g(x) = x + 9

then:

(f ∘ g)(x) = (x + 9)^2

And there is no value of x that causes problems here, so the domain is the set of all real numbers, that, in interval notation, is written as:

x ∈ (-∞, ∞)

(g ∘ f)(x)

this is g(f(x)) = (x^2) + 9 = x^2 + 9

And again, here we do not have any problem with a given value of x, so the domain is again the set of all real numbers:

x ∈ (-∞, ∞)

(f ∘ f)(x) = f(f(x)) = (f(x))^2 = (x^2)^2 = x^4

And for the domain, again, there is no value of x that causes a given problem, then the domain is the same as in the previous cases:

x ∈ (-∞, ∞)

(g ∘ g)(x) = g( g(x) ) = (g(x) + 9) = (x + 9) +9 = x + 18

And again, there are no values of x that cause a problem here,

so the domain is:

x ∈ (-∞, ∞)

To learn more on domain click:

brainly.com/question/2622299

#SPJ1

complete question:

Consider the following functions. f(x) = x2, g(x) = x + 9 Find (f ∘ g)(x). Find the domain of (f ∘ g)(x). (Enter your answer using interval notation.) Find (g ∘ f)(x). Find the domain of (g ∘ f)(x). (Enter your answer using interval notation.) Find (f ∘ f)(x). Find the domain of (f ∘ f)(x). (Enter your answer using interval notation.) Find (g ∘ g)(x). Find the domain of (g ∘ g)(x). (Enter your answer using interval notat

The coordinates point C of the given line segment AC is C(0, -2) whose midpoint is at B.

To calculate the midpoint of a line segment, find the average for the coordinates of the endpoints of the line segment. I.e.,

Consider a line segment AC, B is its midpoint.

So, the coordinates of B are (Where we have A(x1, y1) and C(x2, y2))

B(x, y) = \((\frac{x1+x2}{2}, \frac{y1+y2}{2})\)

It is given that, B is the midpoint of a line segment AC.

Where A has coordinates as (-3, 4) and B has coordinates as (-1 1/2, 1).

So, the coordinates of the other end point C of the given line segment are calculated as

B(x, y) = \((\frac{x1+x2}{2}, \frac{y1+y2}{2})\)

⇒ (-1.5, 1) = \((\frac{-3+x2}{2}, \frac{4+y2}{2})\)

⇒ -1.5 = (-3 + x2)/2 and 1 = (4 + y2)/2

⇒ -3 = -3 + x2 and 2 = 4 + y2

⇒ x2 = 0 and y2 = 2 - 4 = -2

Therefore, point C has coordinates as (0, -2).

Learn more about calculating the midpoint here:

https://brainly.com/question/5566419

#SPJ4

Answer:

16.2 feet

Step-by-step explanation:

Reference angle = 62°

Opposite = x

Adjacent = 8.6

Apply trigonometric function, TOA:

Tan 62 = Opp/Adj

Tan 62 = x/8.6

8.6 × Tan 62 = x

16.1742476 = x

x = 16.2 ft (nearest tenth)

Answer:

I am sure the answer is 300

Answer:

Property crime

48.226%

Step-by-step explanation:

Please mark as brainly cause i took most time to do this. Thank you

Answer:

Just by looking at it it’s property crime

Step-by-step explanation:

Answer:

a)  \(\frac{2x-26}{(x+3)(x-5)}\)

Step-by-step explanation:

Explanation

Given

           \(\frac{4}{x+3} - \frac{2}{x-5}\)

   \(= \frac{4(x-5)-2(x+3)}{(x+3)(x-5)}\)

   \(= \frac{4x-20-2x-6)}{(x+3)(x-5)}\)

   \(= \frac{2x-26}{(x+3)(x-5)}\)

  \(\frac{4}{x+3} - \frac{2}{x-5}\) =    \(\frac{2x-26}{(x+3)(x-5)}\)

The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is  (APR / 365) x 30 days x adjusted balance.

The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.

The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.

Credit card interest method = adjusted balance method

Beginning balance = $780

Purchase = $170

Payment = $210

Adjusted balance, AB = $740 ($780 + $170 - $210)

APR = 17% = 0.17 (17/100)

The interest charged = (APR / 365) x 30 days x adjusted balance

= $10.34 [(0.17/365) x 30 x $740]

Learn more about the adjusted balance method at https://brainly.com/question/14351468.

#SPJ1

\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} h=0\\ k=0\\ \end{cases}\implies y=a(~~x-0~~)^2 + 0\hspace{4em}\textit{we also know that} \begin{cases} x=3\\ y=18 \end{cases} \\\\\\ 18=a(3-0)^2+0\implies 18=9a\implies \cfrac{18}{9}=a\implies 2=a \\\\\\ y=2(~~x-0~~)^2 + 0\implies \boxed{y=2x^2}\)

Answer:

The answer is

Step-by-step explanation:

Since the cardboard box is a cube all it's sides are equal

Volume(V) of a cube = l³

where l is the length of one side

From the question

\(V = \frac{125}{8} \: {ft}^{3} \)

The length of each side of the cardboard box is

\( {l}^{3} = \frac{125}{8} \\ \sqrt[3]{ {l}^{3} } = \sqrt[3]{ \frac{125}{8} } \\ l = \frac{5}{2} \)

We have the final answer as

\( \frac{5}{2} \: \: \: feet \\ \)

Hope this helps you

Answer:

5/2 ft

Step-by-step explanation:

The volume of a cube is calculated by the following formula.

Rewrite the formula in terms of the side, as shown.

It is given that the volume of the cardboard box is ft3. Substitute this value into the equation to determine the length of each side of the cardboard box.

Therefore, the length of each side of the cardboard box is 2.5 ft.

One Answer: Choice C) 0 < x < 1

==================================================

Explanation:

Let's go through the answer choices one at a time.

The correct option is C

A function whose value decreases as the independent variable increases over a given range is called a decreasing function.

Considering the options :

A) it represents an increasing interval since the graph goes uphill as we move from left to right. The line through the points (-2, f(-2)) and (-1.5, f(-1.5)) has a positive slope. We can rule out choice A.

B) It is a similar story to choice A. The graph goes uphill when we move from x = -1 to x = 0, so the graph is increasing on the interval -1 < x < 0. We can rule out choice B.

In contrast, C is a decreasing interval. Going from x = 0 to x = 1 has us move downhill. Choice C is the only answer.

Hence, the correct option is 0 < x < 1

Learn more about decreasing function, click;

https://brainly.com/question/14330051

#SPJ5