How many milliliters of chocolate milk are in the container shown? Enter your answer in the box.

A pitcher shows 4 lines at 1, 2, 3, and 4 liters from bottom to top. Chocolate milk rises to the level of the line at 3 liters.

Answer: slope is 2 and the y-intercept is 1  intercept form is y=2x+1

Step-by-step explanation:

\(x^2 + 4x + (\frac{4}{2})^2 = x^2 + 4x + 4\)

Answer is 4

The unknown angle of the triangle is 58 degrees.

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

Therefore, the unknown angle can be found using the external angle theorem.

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle

Hence,

138 = x + 80

x = 138 - 80

x = 58 degrees

Therefore, the unknown angle is 58 degrees.

learn more on triangle here: https://brainly.com/question/18854964

#SPJ1

The expression with the correct coefficients in each block is given as follows:

20x³ + 0x² - 7x.

The functions in the context of this problem are defined as follows:

The operation is given as follows:

f(x)g(x) + h(x).

Hence, to obtain the resultant function, we apply the definitions into the operation and the simplify, applying the distributive property and combining the like terms, as follows:

4x(5x² - 4) + 9x = 20x³ - 16x + 9x = 20x³ - 7x.

As there is no x² term, the coefficient of zero multiplies the term x².

More can be learned about functions at https://brainly.com/question/31895757

#SPJ1

Answer: We can first find the dot product of vec r with hat j and hat k:

vec r * hat j = (3 hat i - 2 hat j + 6 hat k) * (- hat j) = -2

vec r * hat k = (3 hat i - 2 hat j + 6 hat k) * hat k = 6

Substituting these values into the expression given, we get:

(vec r * hat j).(vec r * hat k) - 12 = (-2) * (6) - 12 = -24

Therefore, the value of (vec r * hat j).(vec r * hat k) - 12 is -24.

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

If r is the cost of a road bike, then the cost of a mountain bike is r+50. The total cost of the 7 bicycles is ...

  4r +3(r+50) = 4700

  7r +150 = 4700 . . . . . . eliminate parentheses

  7r = 4550 . . . . . . . . . . . subtract 150

  r = 650 . . . . . . . . . . . . . divide by 7; price of a road bike

  r+50 = 700 . . . . price of a mountain bike

The price of a road bike is $650; the price of a mountain bike is $700.

The ratios will be equal if the theorem that the product of the extremes equals the product means follows.

Let us understand the equality of ratios through example. The example ratio will be -

7:10 = 21:30

In this ratio, 7 and 30 are first and last numbers and hence they are extremes. The number 10 and 21 are in middle and hence considered mean. Now, we will perform multiplication to if the ratios are equal or not.

Product of extremes = 7 × 30

Extremes product = 210

Product of means = 21 × 10

Means product = 210

Since the products are equal, the ratios are also equal.

Learn more about ratio and proportion -

https://brainly.com/question/12024093

#SPJ4

The complete question is -

Are the following ratios equal? write yes or no. use the theroem that the product of the extremes equals the product means.

Ratio = 7:10 and 21:30.

The domain and range of the function  f(x) = 3/x + 2 are  (-∞, 0) ∪ (0, ∞) and  (-∞, 2) ∪ (2, ∞). The vertical and horizontal asymptotes are x = 0 and y = 2 respectively

In mathematics, the domain of a function is the set of all possible input values (also known as the independent variable) for which the function is defined. The range of a function is the set of all possible output values (also known as the dependent variable) that the function can produce.

To determine the domain and range of a function, it's important to consider the nature of the function, its graph or formula, and any restrictions that may apply.

The function f(x) = 3/x + 2

The domain of the function is (-∞, 0) ∪ (0, ∞)

The range of the function is (-∞, 2) ∪ (2, ∞)

The x - intercept is (-3/2, 0)

The y - intercept does not exist

The vertical asymptotes is x = 0

The horizontal asymptotes is y = 2

Learn more on domain and range of a function here;

https://brainly.com/question/10197594

#SPJ1

Answer:

9.95h + 5  ≤ 125

Step-by-step explanation:

let 'h' = number of hats

The purpose of data is to provide information and insights that can be used to make informed decisions, draw conclusions, and gain knowledge about a particular subject or phenomenon.

Data plays a crucial role in various fields, including science, business, research, healthcare, and everyday life.One primary purpose of data is to describe and understand the world around us.

By collecting and analyzing data, we can identify patterns, trends, and relationships that exist within a dataset. This helps us gain a deeper understanding of complex systems and phenomena.

For example, in scientific research, data is used to study the behavior of natural processes, investigate the effects of interventions, and formulate theories and models.

Data also serves as a foundation for making informed decisions. By examining relevant data, individuals and organizations can assess the potential outcomes of different choices and select the most optimal course of action.

Data-driven decision-making enables organizations to improve efficiency, identify opportunities, mitigate risks, and enhance overall performance. In fields like marketing and finance, data is extensively used for market research, customer segmentation, trend analysis, and financial forecasting.

Furthermore, data is crucial for monitoring and evaluating performance. By collecting data over time, organizations can track progress, measure outcomes, and identify areas for improvement. Data-driven monitoring allows for evidence-based assessments and adjustments to strategies or interventions.

Overall, the purpose of data is to provide reliable information that can be used to enhance understanding, support decision-making, and drive progress in various domains. It empowers individuals and organizations with the ability to derive insights, solve problems, and make meaningful contributions to society.

For more such questions on data.

https://brainly.com/question/30459199

#SPJ8

It is true that a linear transformation T : Rn → Rm is completely determined by its effect on columns of the n × n identity matrix.

What is a linear transformation?

A linear transformation is a function from one vector space to another that takes into account the underlying (linear) structure of each vector space. Another term for a linear transformation is a linear operator, sometimes known as a map.

The basis vectors in Rn are the columns on the identity matrix.

Since T is a linear transformation and any vector can be expressed as a linear combination of these, if we know where these columns go, we know everything.

Hence, the given statement is true.

Learn more about linear transformation from the given link

https://brainly.com/question/29641138

#SPJ1

Question: A linear transformation T : Rn → Rm is completely determined by its effect on columns of the n × n identity matrix. Is it true or false?

Answer:

Step-by-step explanation:Homework Progress

22 / 77

P and Q are points on the line 3y - 4x = 12

a) Complete the coordinates of P and Q.

P (0,4

,0)

b) Plot points P and Q on the graph.

Use the tool to plot the coordinates.

c) Draw the line 3y - 4x = 12 for values

of x from -3 to 3.

Using matrices the simultaneous equation is solved to get x = 3 and y = 5

This method required finding determinants in three occasions then dividing

The given equation

\(\left[\begin{array}{cc}3&2&\\1&1\\\end{array}\right] \left[\begin{array}{c}x\\y\\\end{array}\right]= \left[\begin{array}{c}19\\8\\\end{array}\right]\)

the determinant is

\(\left[\begin{array}{cc}3&2&\\1&1\\\end{array}\right]\)

3 * 1 - 2 * 1 = 3 - 2 = 1

Solving for x

determinant while replacing x values

\(\left[\begin{array}{cc}19&2&\\8&1\\\end{array}\right]\)

19 * 1 - 2 * 8 = 19 - 16 = 3

solving for x = 3/1 = 3

Solving for y

determinant while replacing y values

\(\left[\begin{array}{cc}3&19&\\1&8\\\end{array}\right]\)

3 * 8 - 19 * 1 = 24 - 19 = 5

solving for y = 5/1 = 5

Learn more about simultaneous equations at:

https://brainly.com/question/148035

#SPJ1

Answer:

104

Step-by-step explanation:

Hey There!

So essentially what this problem is asking us to do is solve for the missing angle in a triangle

Remember all of the angles in a triangle will add up to 180

so to find the missing angle we subtract the given angles (38 and 38) from 180

180-38-38=104

so we can conclude that angle A equals 104

Hope this helps!

Answer:

104 degrees

Step-by-step explanation:

Hope this helps!

Have a great day!

The mechanical advantage of the given machine is 40, Velocity ratio is 80 and efficiency is 0.5.

The given question is concerned with finding the mechanical advantage, velocity ratio and efficiency of a weight lifting machine.

The problem has provided the following information:

Weight of the object, W = 1 kN = 1000 NEffort applied, E = 25 NHeight through which the object is lifted, h = 100 mm = 0.1 m Distance through which the effort is applied, d = 8 m

We know that, mechanical advantage = load/effort = W/E and velocity ratio = distance moved by effort/distance moved by the load.Mechanical advantage

The mechanical advantage of the given machine is given by; Mechanical advantage = load/effort = W/E= 1000/25= 40Velocity ratioThe velocity ratio of the given machine is given by;

Velocity ratio = distance moved by effort/distance moved by the load.= d/h = 8/0.1= 80EfficiencyThe efficiency of the given machine is given by;

Efficiency = (load × distance moved by load) / (effort × distance moved by effort)Efficiency = (W × h) / (E × d)= (1000 × 0.1) / (25 × 8)= 0.5

Therefore, the mechanical advantage of the given machine is 40, velocity ratio is 80 and efficiency is 0.5.

For more questions on Velocity .

https://brainly.com/question/25749514

#SPJ8

Answer:

-8.4375

Step-by-step explanation:

convert -9 9/16 to a improper fraction.

-9 x 16 = -144  

-144+9= -135

-135 divided by 16 = -8.4375

The depth of the bottom of the hole after the second day is 425 feet using addition operation.

What is addition?

In math, addition is the process of adding two or more integers together. The terms addends and sum describe the input and output of the addition operation, respectively.

Given the depth on the first day is 232 feet.

Depth on the second day = 193 feet more than on the first day i.e. 193 feet + depth on the first day

This implies, depth on the second day = 193+232

=  425 feet

The hole's bottom will therefore be 425 feet deep after the second day.

To know more about addition click here,

https://brainly.com/question/28830162

#SPJ1

Answer:

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

Find the difference of the initial and used amounts:

\(~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ t=years\dotfill &4 \end{cases} \\\\\\ A=2000e^{0.08\cdot 4}\implies A=2000e^{0.32}\implies \boxed{A\approx 2754.26}\)

Answer:

Angle sum Theorem says that the sum of the measures of the interior angles of a triangle is 180 degrees. ... This creates alternate interior angles that are congruent. Sum of two interior angles equals the opposite exterior angle...33 + 87 = yy = 120°

Step-by-step explanation:

Answer:

Step-by-step explanation:

4/mx

Answer:

A survey shows that the probability that an employee gets placed in a suitable job is 0.65. So, the probability he is in the wrong job is 0.35.The test has an accuracy rate of 70%. So, the probability that the test is inaccurate is 0.3. Thus, the probability that someone is in the right job and the test predicts it wrong is The probability that someone is in the wrong job and the test is right is 

Answer:

Step-by-step explanation:

1. brackets

in the bigger bracket there is a smaller one do it first

(45-(6+3))x27= (45-9)x27

2. the bracket again

(45-9)x27 = 36 x 27

3. multiply

36x27=972

9514 1404 393

Answer:

  (x -6)^2 +(y -6)^2 = 10

Step-by-step explanation:

To use the standard form equation for a circle, we need to know the center and the square of the radius. The center can be read from the graph as (6, 6). The square of the radius can be found using the distance formula.

  d^2 = (x2-x1)^2 +(y2-y1)^2

The radius is the distance between the two points shown, so we have ...

  d^2 = (7-6)^2 +(9-6)^2 = 1^2 +3^2 = 10

__

The equation of a circle centered at (h, k) with radius r is ...

  (x -h)^2 +(y -k)^2 = r^2

For (h, k) = (6, 6) and r^2 = 10, the equation is ...

  (x -6)^2 +(y -6)^2 = 10

Out of the 400 surveyed students, 327 were either seniors or commuters.

To find the number of students who were either seniors or commuters out of the 400 surveyed students, we need to add the number of seniors and the number of commuters while avoiding double-counting those who fall into both categories.

According to the information given:

There were 262 seniors.

There were 215 commuters.

150 of the seniors were also commuters.

To avoid double-counting, we need to subtract the number of seniors who were also commuters from the total count of seniors and commuters.

Seniors or commuters = Total seniors + Total commuters - Seniors who are also commuters

= 262 + 215 - 150

= 327

Therefore, out of the 400 surveyed students, 327 were either seniors or commuters.

It's important to note that in this calculation, we accounted for the overlap between seniors and commuters (150 students who were both seniors and commuters) to avoid counting them twice.

This ensures an accurate count of the students who fall into either category.

For similar question on surveyed.

https://brainly.com/question/14610641  

#SPJ8

The first three terms of the arithmetic sequence are -97, -63, and -29.

The value of x = -14.

To find the value of x and the first three terms of the arithmetic sequence, we can equate the differences between consecutive terms:

The common difference (d) is the same between all consecutive terms.

So, we have:

(5x + 7) - (7x + 1) = (2x - 1) - (5x + 7)

Simplifying the equation:

5x + 7 - 7x - 1 = 2x - 1 - 5x - 7

-2x + 6 = -3x - 8

Now, let's solve for X:

-2x + 3x = -8 - 6

x = -14

Substituting the value of X back into the expressions, we can find the first three terms:

First term: 7x + 1 = 7(-14) + 1 = -97

Second term: 5x + 7 = 5(-14) + 7 = -63

Third term: 2x - 1 = 2(-14) - 1 = -29

Learn more about Arithmetic Sequence on:

https://brainly.com/question/6561461

#SPJ1