can someone help me pls it Ricardo has made 4 out of the 12 recipes in his cookbook. What fraction of the recipe has he made? and thank you

Answers

Answer 1

Yes, of course!

Ricardo has made 4 out of the 12 recipes in his cookbook.

To find out what fraction of the recipes he has made, you can write it as a fraction:

4/12

To simplify this fraction, you can divide both the numerator and denominator by 4, which gives:

4/12 = 1/3

Therefore, Ricardo has made 1/3 of the recipes in his cookbook.


Related Questions

2y+3y-18=-83?????????????

Answers

Answer:

-13

Step-by-step explanation:

Pls help Thanks!!!!!!!!!!!

Answers

Answer:

Put your calculator in degree mode.

[tex] \cos(x) = \frac{12}{13} [/tex]

[tex]x = {cos}^{ - 1} \frac{12}{13} = 22.6[/tex]

Angle x measures 22.6°.

Use mathematical induction to prove that the statement is true for all positive integers: 30 + 138 + 318...

Answers

The mathematical induction has been used to prove that the statement is true for all positive integers: 30 + 138 + 318.

What is mathematical induction?

In mathematics, mathematical induction is a way of proving propositions. The method entails demonstrating that a statement is true for a base case, usually the smallest feasible value, and then demonstrating that if the statement is true for some value, it is likewise true for the next value.

The key to the proof is the inductive step. It is typically accomplished by assuming that the statement is true for some value and then utilizing that assumption to establish that the statement is true for the following value.

Check the attachment.

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What is the equation of the line shown in this graph?

Answers

Answer:

The equation is y=-3

Step-by-step explanation:

The line is horizontal, cutting across the y-axis, which means it will be a y= line. The point it hits the y-axis is -3, so it is y=-3.

Pls help
The shape below contains a rectangle and four semi-circles.
Round your responses to two decimal places.

What is the perimeter of the shape above?

What is the area of the shape above?

Answers

Answer:

perimeter: 47.12 unitsarea: 151.60 square units

Step-by-step explanation:

You want the perimeter and area of a figure consisting of a 4 × 11 rectangle with semicircles attached to each straight edge.

Perimeter

If you trace the perimeter of the figure, you see you are tracing the circumference of a circle 4 units in diameter and the circumference of a circle that is 11 units in diameter. The circumference of a circle is given by ...

  C = πd

so the total circumference is ...

  C1 +C2 = π(4) +π(11) = π(4+11) ≈ 47.12 . . . . units

The perimeter of the figure is about 47.12 units.

Area

The area of two half-circles is the area of one whole circle of the same diameter. The area of a circle of diameter d is given by ...

  A = (π/4)d²

The total area of the circles of diameters 4 and 11 is ...

  A1 +A2 = (π/4)·4² +(π/4)·11² = (π/4)(4² +11²)

The area of the central rectangle is added to the areas of the semicircles. Its area is ...

  A = LW

  A = (11)(4)

Total

The area of the entire figure is the sum of the circle areas and the rectangle area:

  total area = (π/4)(4² +11²) +(4)(11) ≈ 151.60 . . . . square units

The area of the figure is about 151.60 square units.

__

Additional comment

You usually see the formula for the area of a circle as ...

  A = πr²

Since r = d/2, we can express this using d as ...

  A = π(d/2)² = π(d²)/(2²) = (π/4)d²

You may notice that a square that circumscribes the circle will have a side length of d, and an area of d². The fraction π/4 tells you the fraction of that enclosing square that is covered by the circle. This fact can help you estimate areas and volumes of circles and cylinders.

prove the identity tan3x-tanx =2sinxsec3x​

Answers

For the first three problems, certain values of x need to be excluded.

(Problem #1) 2sin(x)/cos(3x) = tan(3x) - tan(x)

Let's try to prove that 2sin(x) = sin(3x) - tan(x)cos(3x).
Using the identities sin(3x) ? 3sin(x) - 4sin³(x) and cos(3x) ? 4cos³(x) - 3cos(x),
sin(3x) - tan(x)cos(3x) = 3sin(x) - 4sin³(x) - tan(x)(4cos³(x) - 3cos(x))
= sin(x)(3 - 4sin²(x) - (4cos²(x) - 3))
= sin(x)(6 - 4(sin²(x) + cos²(x)))
= 2sin(x).
(The above is simpler than using the standard identity that gives tan(3x) in terms of tan(x).)

(Problem #2) (1 - tan²((?/4)-x))/(1 + tan²((?/4)-x)) = sin(2x)

Multiplying the numerator and denominator of the left-hand side by cos²((?/4)-x)) gives
(cos²((?/4)-x)) - sin²((?/4)-x)))/(cos²((?/4)-x)) + sin²((?/4)-x))),
which equals cos(2(?/4 - x))/1, i.e., cos(?/2 - 2x), i.e., sin(2x).

(Problem #3) (1 + sin(2x) - cos(2x))/(1 + sin(2x) + cos(2x)) = tan(x)

Hint: use the identities cos(2x) = 1 - 2sin²(x) = 2cos²(x) - 1 and sin(2x) = 2sin(x)cos(x) to express the left-hand side in terms of sin(x) and cos(x), then factorize the numerator and denominator.

(Problem #4) sin(2x) + (1/sin(2x)) = 5/2; for 0 ? x <2?

This is an equation you have to solve, not an identity. Start by treating it as a quadratic equation in sin(2x). The quadratic factorizes easily.

what type of number is 15/10

Answers

Answer:

The number 15/10 is a fraction, specifically a rational number. It can be expressed as the quotient of two integers, where 15 is the numerator and 10 is the denominator. In this case, the fraction is equivalent to 1.5, which is a decimal representation of the rational number.

Step-by-step explanation:

Answer:

Fraction, 15/10 is written out as 15 Over 10

A man has 16 coins in his pocket, all of which are dimes and quarters. If the total value of his change is $2.50, how many dimes and how many quarters does he have?

Let d = number of dimes, q = number of quarters.

Step one:

A man has 16 coins in his pocket, all of which are dimes and quarters.

Set up the first equation for the number of dimes and quarters. Help PLS

Answers

Answer: 10 dimes and 6 quarters, see below for the equations.

Step-by-step explanation:

    We know how much a dime is worth and how much a quarter is worth, and they give us the total number of coins and the total number of change.

    This equation shows the total number of coins:

d + q = 16

    This equation shows the worth of these coins:

0.10d + 0.25q = 2.5

    Now, we can graph these equations. See attached. The point of intersection, where the lines cross, is our solution. In the graph, d = x and q = y.

This point is (10, 6) meaning he has 10 dimes and 6 quarters in his pocket.

NEED HELP WILL GIVE BRAINLIEST AND WILL RATE. Show work and do all 3. :) (Do the one highlighted)

Answers

(4ˣ/7)ˣ is not an exponential function, because the exponent is applicable to all the fractions.

Which of the following is not an exponential function?

To determine which option is not an exponential function, we will apply general equation of an exponential function.

f(x) = aⁿ

where;

a is the base of the functionn is the exponent

So from the given options;

(³/₅)ˣ is an exponential function, because ³/₅ is the base while x is the exponent.

4ˣ  is an exponential function, because 4 is the base while x is the exponent.

(4ˣ/7)ˣ is not an exponential function, because the exponent is applicable to all the fractions, so there is no one base.

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Please help !!!!!!!!!!!!!!!!!!!!!!

Answers

2) The way the coordinates show the given scale factor is that the ratio of both x and y coordinates to the mapped coordinate before dilation are all equal.

3) The coordinates after dilation are: (5.4, 27)

How to use scale factor dilation?

2) The coordinates transformed points after dilation are completed as:

B(2, 4) → B'(3, 6)

K(4, -4) → K'(6, -6)

N(-6, 0) →N'(-9, 0)

The scale factor is same because using the ratio of the x coordinates gives:

3/2 = 1.5

6/4 = 1.5

-9/-6 = 1.5

3) The point W of the vertex of the polygon has coordinates as (2, 10)

Thus, if dilated by a scale factor of 2.7, we have the new coordinates as:

(2*2.7, 10*2.7) = (5.4, 27)

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Subtract t⁴-3t²+7 from 5t³-9.​

Answers

Answer:

t⁴+5t³-3t²-2

Step-by-step explanation:

You can't subtract a variable with a different exponent:

Example:

CAN'T BE SUBTRACTED - 3x²-3x⁴

CAN BE SUBTRACTED - 4x²-2x²=2x²

Answer:

[tex]\sf -t^{4}+5t^{3} +3t^{2} -16.[/tex]

Step-by-step explanation:

1. Write the expression.

[tex]\sf (5t^{3} -9)-(t^{4}-3t^{2} +7 )[/tex]

2. Remove the parenthesis.

Beware of the terms of the right hand side parenthesis, as we'll have to change the symbol of all of them because of the minus (-) symbol infront of the parenthesis.

[tex]\sf 5t^{3} -9-t^{4}+3t^{2} -7[/tex]

3. Work with like terms.

Like terms are terms that contain the same variables and can be added and subtracted simply. For example, 7x and 2x are like terms, because they are both expressed in terms of x. However, 7x and x² are not like terms, because one os expressed in terms of x and the ither in terms of x².

• Note: All natural numbers not being multiplied by any variables are like terms.

So now let's identify those like terms:

From this expression: [tex]\sf 5t^{3} -9-t^{4}+3t^{2} -7[/tex]

Only -9 and -7 are like terms. And, since -9-7= -16, the resulting expression should be the following:

[tex]\sf 5t^{3} -t^{4}+3t^{2} -16[/tex]

4. Order the terms correctly.

So even though the last expression is the answer to this problem, we can polish it a little bit by ordering the terms. In math and other exact sciences, terms are normally ordered alphabetically and from greatest to least of it's the same variable with different exponents. Therefore, the final answer is:

[tex]\sf -t^{4}+5t^{3} +3t^{2} -16.[/tex]

A quantity shrinks at a continuous rate of
per year. Its effective growth rate is
per year.

Answers

Answer:

Based on the information provided, there seems to be a discrepancy between the given information about the quantity shrinking at a continuous rate and the requested information about its effective growth rate. If a quantity is shrinking continuously, it is not experiencing growth, and therefore there is no effective growth rate. Nonetheless, assuming that the requested information was about the effective shrinkage rate of the quantity per year, this information can be extracted from the given information that "A quantity shrinks at a continuous rate of 33% per year." The effective shrinkage rate of the quantity can be calculated as follows:

Let r be the continuous shrinkage rate of the quantity

The effective shrinkage rate of the quantity is given by the expression (1 - r).

From the given information , r = 33% = 0.33.

Therefore, the effective shrinkage rate of the quantity is (1 - r) = (1 - 0.33) = 0.67 or 67% per year.

Note that if the phrase "effective growth rate" was a mistake, and the original intent was to ask for the shrinkage rate, then the above calculation gives the answer. Otherwise, further clarification is needed.

You may be interested in visiting A quantity's size after t years is given by A(t) =...

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Step-by-step explanation:

Final answer:

The question refers to the concept of continuous growth or shrinkage, and the effective growth rate in a financial context. Despite missing figures, assuming a quantity shrinks at a continuous rate of 3% and its effective growth rate is 2%, it implies a net shrinkage is 1% annually.

Explanation:

The question pertains to the subject of compound interest in finance, but it appears that some of the figures and percentages are missing. However, generally speaking, continuous growth or shrinkage refers to the rate at which a quantity increases or decreases for a specific period of time. The effective growth rate is a term in finance that is used to compare the annual interest rates between financial products that have different compounding terms. For instance, if a quantity shrinks at a continuous rate of 3% per year, and its effective growth rate is 2% per year, it means that net shrinkage is 1% per year.

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what type of number is 15/10?

Answers

Answer:

1.5

Step-by-step explanation:

its a decimal number

Answer: the number 15/10 is a fraction.

Step-by-step explanation:

any two numbers that have a slash in the middle are fractons. :)

a 110 minute meeting should have a 10 minute break in the middle of two equal parts. How long after the meeting start should the break begin

Answers

Answer: 24 minutes and 30 seconds after the meeting as started

Step-by-step explanation:

110 minutes into 2 equal parts = 55 minutes in each section.

In the middle of 55 minutes = subtract the 10 minutes for a break from the 55 minutes that leaves you with 45 minutes. 24 minutes and 30 seconds before and after the 10 minute break.

Total session minutes - 110

Two equal parts of session: 55 minutes in each session

10 minute break in each session: 55-10 =45.

24 minutes and 30 seconds + 10 min break (in middle) + 24 minutes and 30 seconds

After 50 minutes the break will start.

The metting is 110 minutes long. According to the Question the metting have 'a'(only one) break of 10 minutes in between of two equal parts of metting.

so, duration of metting without the break=100 minutes

                                 duration of each part=50 minutes

Now, the break should be after First part which is of 50 minutes.

=> The break should 50 minutes after the starting of metting.

Which of the following is a statistical question that can result in numerical data?

What is the name of the librarian at your local library?
Which park is the best one to take your dogs to play?
What is the name of a local farm in your area?
How many students at your school ride horses?

Answers

The statistical question that can result in numerical data is "How many students at your school ride horses?"

What types of polynomials do you think could factor using the relationship made
in the previous question?
If a is replaced with an x, and b is replaced with a 2, how would the equation
look, and what does it mean?
Create your own replacement of a and b and explain how your equations would
look and what would it mean?

Answers

The relationship in the previous question involves the difference of squares pattern, which applies to polynomials of the form:

a^2 - b^2

where a and b are any real numbers.

If we replace a with x and b with 2, the equation would look like:

x^2 - 2^2 = (x + 2)(x - 2)

This means that any polynomial of the form x^2 - 4 can be factored using the difference of squares pattern.

As for creating our own replacement of a and b, let's say we replace a with y and b with 3. Then the equation would look like:

y^2 - 3^2 = (y + 3)(y - 3)

This means that any polynomial of the form y^2 - 9 can be factored using the difference of squares pattern.

11. Which of the following are not meaningful?
(b) XXXI
(a) VXXIX
(C) XLIV
12. Write 'Divide the difference of 91 and 7 by 6' using brackets and solve.
(d) CXCLXV

Answers

The answer to question 11 is (d) CXCLXV. Roman numerals are not meaningful when they are repeated more than three times.

The answer to question 12 is [(91 - 7) ÷ 6] = 14.


which equation represents a parabola opening downward with a vertex of the origin and a focus at (0,-1)?

y= -1/4x^2
y=1/4x^2
y=1/12x^2
y=-1/12x^2

Answers

The equation that represents a parabola opening downward with a vertex of the origin and a focus at (0,-1) is:

y = -1/4x^2

The standard form of the equation of a parabola with vertex at the origin and focus (0, p) is given by:

y^2 = 4px

In this case, p = -1, so the equation becomes:

y^2 = -4x

Solving for y, we get:

y = ± √(-4x)

Since the parabola opens downward, we take the negative square root:

y = -√(-4x)

Simplifying, we get:

y = -2√(x)

Multiplying by a constant, we get:

y = -1/4(4√(x))^2

Therefore, the equation that represents a parabola opening downward with a vertex of the origin and a focus at (0,-1) is:

y = -1/4x^2.

So, the answer is "y = -1/4x^2."

∠1 and ​∠2​ are vertical angles. ∠2​ has a measure of 31°.

What is the measure of ​∠1​?

Enter your answer in the box.

Answers

The measure of <1 is 31°.

What are vertical angles?

Two angles are said to be vertical angles when they are formed by two straight lines intersecting at a point. This produces a series of angles of which some are vertical, thus they have equal measure.

In the information given in the question, it was given that <1 and <2 are vertical angles. This implies that they have equal measure, such that;

<2 = 31° (given)

So that;

<1 = <2 = 31°

Thus,

<1 = 31°

Therefore, it can be concluded that the measure of <1 is 31°.

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20x-12 factor out gcf in order to rewrite expression

Answers

The GCF (Greatest Common Factor) of the terms 20x and 12 is 4. Factoring out the GCF, we get:
20x - 12 = 4(5x - 3)

Let p be the constant function p (z) = 1,000,000,000. Let q be the exponential function q (2) = 10
The product of the two functions is (pq) (z) = 10ª-2, where a is a constant. What is the value of a?
C2023 Illuminate Education, Inc.
P
C

Answers

[tex]\large \boxed{\mathrm{10}}[/tex]

The constant function p has a fixed output of one billion, while the exponential function q has a base of two and an output of 10. As the input increases by one, the output of q doubles. For example, q(3) = 20 and q(4) = 40. The rate of growth of q is much faster than p. In fact, q will eventually surpass p for large enough inputs. This demonstrates the power of exponential growth and highlights the importance of understanding the functions used in equations and models.

Answer:

10 or 1b

Step-by-step explanation:

Solve the following for θ, in radians, where 0≤θ<2π.
2cos2(θ)−8cos(θ)−1=0
Select all that apply:

1.07
1.69
4.59
2.49
2
2.33

Answers

Answer:correct answers 1.69

4.59

Step-by-step explanation:

We can solve this quadratic equation in cos(θ) by using the substitution u = cos(θ):

2u^2 - 8u - 1 = 0

Now we can use the quadratic formula to solve for u:

u = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 2, b = -8, and c = -1. Substituting these values, we get:

u = (8 ± sqrt(8^2 - 4(2)(-1))) / 2(2)

u = (8 ± sqrt(72)) / 4

u = 2 ± sqrt(18)

Therefore, either:

what are the coordinates of the point that corresponds to -5pi/4 on the unit circle

Answers

The coordinates of the point that corresponds to -5π/4 on the unit circle is (-1/√2, 1/√2).

Given that,

We have to find the coordinates of the point that corresponds to -5π/4 on the unit circle.

We know that any point on the unit circle can be defined as,

(cos θ, sin θ)

where θ is the angle formed with the X axis.

-5π/4 will be the point the corresponds to -225°.

Cos(-5π/4) = cos (5π/4)

                  = cos (π + π/4)

                  = -cos (π/4)

                  = -1/√2

sin (-5π/4) = -sin (5π/4)

                  = -sin (π + π/4)

                  = sin (π/4)

                  = 1/√2

Hence the coordinate of the unit circle is (-1/√2, 1/√2).

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Need help with this 50 Points

Answers

Answer:

8.) is D

9.) is B

10.) is A

Step-by-step explanation:

mark brainliest

Answer: D, B, A

Step-by-step explanation:

When multiplying or dividing - and + numbers, rules are as follows:

If the signs are the same, your answer will be +

[tex]\frac{-a}{-b} =+\frac{a}{b}[/tex]

[tex]\frac{+a}{+b} =+\frac{a}{b}[/tex]

If the signs are different, your answer will be -

[tex]\frac{-a}{+b} =-\frac{a}{b}[/tex]

[tex]\frac{+a}{-b} =-\frac{a}{b}[/tex]

If there is no sign in front of number, it is positive

8.

a. 18 / -9 = -2   negative because signs are diff

b. -35 / -7  +5   signs same so +

c.  -12 / -6 = +2          same signs so +

d. 70 / -10 = -7        diff signs so -

Order from least to greatest:

-7    -2   2   5

Answer: D

9.  Follow rules from above:

Be careful with fractions  1/5  is not the same as 5/1.

With the fraction problems they do not divide into the number because 1 cannot be divided by 5 evenly, leave as a fraction and we are only taking care of the signs.

a.  +1/5

b.  -1/5

c.  +1/10

d.  +1/10

Order from least to greatest:

-1/5    1/5   1/10    1/10

Answer: B

10.

a. -2/3

b.  +1/25

c.  +3/25

d.  +1/50

The smallest number is the negative number

Answer A

Given the unit circle what is the value of y PLEASE HELP

Answers

Answer: √35/6

Step-by-step explanation:

see image for explanation

Determine which of the following statements is true concerning the values described in column #1 and column #2. (1 point)
Column #1
Column #2
The x-coordinate of the vertex of the graph of The x-coordinate of the vertex of the graph of
y=-2x² - 4x + 12
y=x²-4x+3
O The value found in column #1 is greater than the value found in column #2.
The value found in column #1 is less than the value found in column #2.
O The value found in column #1 is equivalent to the value found in column #2.
The relationship between column #1 and column #2 cannot be determined by the information given.
8

Answers

The statement which is true concerning the values described in column #1 and column #2 is: B. The value found in column #1 is less than the value found in column #2.

How to determine the x-coordinate of the vertex of the graph?

In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical expression:

Axis of symmetry, Xmax = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

For the given quadratic function f(x) = -2x² - 4x + 12, we have:

Axis of symmetry, Xmax = -(-4)/2(-2)

Axis of symmetry, Xmax = 4/-4 = -1.

For the vertex of f(x) = -2x² - 4x + 12, we have:

f(-1) = -2(-1)² - 4(-1) + 12 = 14.

For the given quadratic function f(x) = x²-4x+3, we have:

Axis of symmetry, Xmax = -(-4)/2(1)

Axis of symmetry, Xmax = 4/2 = 2.

For the vertex of f(x) = x²-4x+3, we have:

f(2) = (2)²-4(2) +3 = -1.

Therefore, 2 is greater than -1.

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What meaning of the statement this?

Answers

We can see here that the statement means that H is a subgroup of a group, and aЄ H is an element of that subgroup.

What is a mathematical statement?

We can define a mathematical statement to be a claim that, depending on the circumstances, may be true or false. It frequently incorporates mathematical objects and their relationships or characteristics, such as integers, sets, functions, or geometric shapes.

We can see here that it shows that a is an element of the subgroup of H.

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Question 20 of 42
Which of the following is a type of data that is likely to be normally
distributed?
A. The weights of all the 5-year-olds in the United States
B. The outcomes of a fair die rolled 100 times
C. The number of students in a class who get a perfect score on a
test
D. The number of students in a class who get a B on a test

Answers

Answer: Option B, the outcomes of a fair die rolled 100 times, is likely to be normally distributed.

Step-by-step explanation:

Answer: Option B, The outcomes of a fair die rolled 100 times

Step-by-step explanation:

that would most likely be normally distributed.

hope it helped! Good luck!!! :)

Which equation represents a direct variation?
Oy - 4x = 8
Oy + 2 = 7x
Oy - 3x = 0
O y = 5x - 2

Answers

Answer:

The equation that represents a direct variation is y = 5x - 2.

In a direct variation, one variable is proportional to the other variable, which means that as one variable increases or decreases, the other variable also increases or decreases in direct proportion. The general form of an equation that represents direct variation is y = kx, where k is a constant of proportionality.

In this case, the equation y = 5x - 2 is in the form of y = kx, where k = 5. This means that as x increases or decreases, y will also increase or decrease proportionally, with a constant rate of change of 5. Therefore, this equation represents a direct variation.

Financial aid letters show your aid and costs of attendance for
one year
O four years
the entire time you plan on attending
a semester

Answers

Financial aid letters display aid and attendance costs for one year only. Some schools offer a financial aid letter for four years of undergrad, aiding in budget planning for the program.

What is the Financial aid?

A few schools may give a budgetary help letter that ventures aid and costs for all four a long time of an undergrad program. This could offer assistance understudies arrange and budget for their whole undergrad instruction.

In a few cases, Financial aid letters  may show aid and costs for a single semester, instead of the complete scholarly year. This could be valuable for understudies who are as it were going to part-time or who got to take a semester off.

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What is Helmer's reaction when Nora initiates a serious conversation? the __________ is the primary means for transmitting messages between the brain and the rest of the body. spinal cord central nervous system endocrine system peripheral nervous system 149. An investment in training should require a cost - benefit analysis. True False Write a function of the form y= A sin (Bx-C)+D that has period 8, phase shift -2, and the range -12 y-4.y = Stacy set up three vials on a hot plate. He poured the same amount of liquidinto each of the vials, and then he turned on the hot plate. Which physicalproperty is he most likely testing?A. Surface tensionB. Melting pointC. Boiling pointD. Hardness A red light on a traffic signal precedes and influences behavior. We would classify a red light as a(n) ____________________ because it increases the probability that you will press down on the brake pedal with your foot. You have previously learned that this response, when emitted in the presence of red traffic lights, allows you to avoid an accident (SRA-) _____, an approach to advertising execution, offers an imaginative look at how it might be if a customer purchases a product.a. Musicalb. Humorc. Endorserd. Slice of lifee. Fantasy creation 1 pointFind the area of the following composite figures, round your answer to the nearest tenth:Line AD = 6Line DC = 6Line AB - 20Type your answer... Find the volume of each rectangular prism from the given parameters. height: 14; area of the base: 88 best answer get 41 points backspaceentershiftply69COe themMonmashTheonicarquehe leroduReaction Ai Sodium Bicarbonate and Hydrochloric AcidExperimental Data(a) Mass of evaporating dishwatch glass(b) Mass of evaporating dish watch glass sodium bicarbonate(c) Mass of sodium bicarbonate used(d) Mass of evaporating dish watch glass sodium chloride(e) Mass of sodium chloride collected (experimental yield).Mole Ration and Reaction Story..Data Analysis1) Use your data to determine the experimental mole-to-mole ratio between sodium bicarbonate and sodium chlorideShow your work for eachNaHCOSConvert the mass of sodium bicarbonate used to moles100.691mole9Convert the mass of sodium chloride collected in moderNac2g104.23.bgmolegDivide both of your results from the preceding two steps by the lower mole value to determine the simplest mole-to-mole ratio between sodium bicarbonate and sodium chloride. Solve the non-linear ODE y"' +2/3 y' + only. y'=0 1Y(1)=1 and y([infinity]) = 0 Gutierrez Company makes various electronic products. The company is divided into a number of autonomous divisions that can either sell to internal units or sell externally. All divisions are located in buildings on the same piece of property. The Board Division has offered the Chip Division $21 per unit to supply it with chips for 40,000 boards. It has been purchasing these chips for $22 per unit from outside suppliers. The Chip Division receives $22.50 per unit for sales made to outside customers on this type of chip. The variable cost of chips sold externally by the Chip Division is $14.50. It estimates that it will save $4.50 per chip of selling expenses on units sold internally to the Board Division. The Chip Division has no excess capacity.(a) Calculate the minimum transfer price that the chip division should acceptMinimum transfer price $18.00(b) Suppose that the Chip Division decides to reject the offer. What are the financial implications for each division, and for the company as a whole, of this decision? Find the molarity of a solution that contains 10 moles of solute and 15 Liters of water. In the last decade, free cash flow has been associated with special financial activities such as: Climate change can be defined as the movement of the ____ of the planet up or down over time. Which group of nations is somewhat pushed out of negotiations in the Congress of Vienna? Biomonitoring is the process of measuring the- Concentration of microbiological species (viruses and bacteria) in the air- Concentration of microbiological species (viruses and bacteria) in the water- Chemicals in human tissue or fluids- Death rate of scientists working in laboratories as indigenous populations were decimated many artistic traditions were lost. contact with western societies may have changed art also by __________ A metal bar is in the xy-plane with one end of the bar at the origin. A force F=(6. 82)i+ -3. 24j is applied to the bar at the point x=3. 87m , y=3. 21m. What is the position vector r for the point where the force is applied?a Express your answer in terms of the unit vectors i and j. b What are the magnitude of the torque with respect to the origin produced by F?c What are direction of the torque with respect to the origin produced by F? Which division problem is represented with this model?1/6 21/671/261/72