fourteen less than n is greater than 98

The guests in the birthday party ate 33 cookies.

We know that Mrs. Smith made 6 1/4 dozen cookies and there were 3 1/2 dozen cookies left.

Let's first convert these fractions to a common denominator of 4, so we can easily subtract them.

6 1/4 dozen = 25/4 dozen

3 1/2 dozen = 14/4 dozen

Now we can subtract the number of cookies that were left from the number of cookies that were made:

25/4 - 14/4 = 11/4 dozen

To find out how many cookies this represents, we need to multiply by the number of cookies in one dozen.

There are 12 cookies in one dozen, so:

11/4 x 12 = 33

Therefore, the guests ate 33 cookies.

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Answer: distance = \(\sqrt{290}\), or in fully simplified form, distance = 17.029386

Step-by-step explanation: (disclaimer! im not sure what LaTeX means in this case, but if you just needed the distance between the two points in this case then i can help)

1. the distance formula is d = \(\sqrt{(x_{2} -x_{1} )^{2} + (y_{2} -y_{1})^2 }\)

2. you substitute the values for x and y: d= \(\sqrt{(13-2)^{2} +(20-7)^2}\)

3. simplify: distance =\(\sqrt{290}\), or, when you use a calculator to simplify that even more, you get distance = 17.029386

I hope this helps you! :)

The equatiοn y= -(1/2) (x-3)² -5  will prοduce the graph shοwn.

An equatiοn is a mathematical statement that prοves twο mathematical expressiοns are equal in algebra, and this is hοw it is mοst cοmmοnly used. In the equatiοn 3x + 5 = 14, fοr instance, the twο expressiοns 3x + 5 and 14 are separated.

Cοnsider the equatiοn :

y= -(1/2) (x-3)² -5

Cοmpare this vertex fοrm οf the parabοla:

y=a(x-h)² + k

a=  -(1/2), vertex= (h,k) =( 3, -5)

a is negative=> parabοla οpens dοwn

amοng given equatiοns, the equatiοn y= -(1/2) (x-3)² -5  matches with the graph

The equatiοn y= -(1/2) (x-3)² -5  will prοduce the graph shοwn

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Answer:

c = 5b ±sqrt(-10(b+a)+2)

Step-by-step explanation:

By using the Pythagoras theorem,

c² = a² + b²

a = b-5

b = a+5

c² = (b-5)² + (a+5)²

c² = b²-10b+25 + a²+10a+25

c² = b²-10b-10a+50

c² = b²-10(b+a)+50

c = 5b ±sqrt(-10(b+a)+2)

All angles are 90 degrees.Rhombus: All sides are of equal length.Square: All angles are 90 degrees and all sides are of equal length

a) To construct a triangle in GeoGebra, we can follow the steps below:

Step 1: Open GeoGebra and select the ‘Polygon’ tool.

Step 2: Select the ‘Triangle’ option.

Step 3: Click three points anywhere on the graph.

Step 4: Once you have drawn the triangle, you can use the ‘Angle’ tool to measure all the angles in the triangle. Similarly, use the ‘Length’ tool to measure the length of each side of the triangle.To identify the type of triangle, we can use the following properties:Acute Triangle: All angles of the triangle are less than 90 degrees.Right Triangle: One of the angles in the triangle is 90 degrees.Obtuse Triangle: One of the angles of the triangle is greater than 90 degrees.Scalene Triangle: All sides of the triangle are of different lengths.Isosceles Triangle: Two sides of the triangle are of the same length.Equilateral Triangle: All sides of the triangle are of the same length.To construct a quadrilateral in GeoGebra, we can follow the steps below:

Step 1: Open GeoGebra and select the ‘Polygon’ tool.

Step 2: Select the ‘Quadrilateral’ option.

Step 3: Click four points anywhere on the graph.

Step 4: Once you have drawn the quadrilateral, you can use the ‘Angle’ tool to measure all the angles in the quadrilateral. Similarly, use the ‘Length’ tool to measure the length of each side of the quadrilateral.To identify the type of quadrilateral, we can use the following properties:Irregular Quadrilateral: All sides and angles of the quadrilateral are of different lengths and measures.Trapezium: Only one pair of opposite sides is parallel.Parallelogram: Opposite sides are parallel.Rectangle:.b) Since we need to add a screenshot of the work done in GeoGebra, we cannot add it here. However, while you construct the triangle and the quadrilateral, you can keep adding the measure of angles and sides to find the properties of the figure. You can then use the Text command available in GeoGebra to describe the type of triangle or quadrilateral that you have constructed. To use the Text command in GeoGebra, follow the steps below:

Step 1: Select the ‘Text’ tool from the toolbar

.Step 2: Click anywhere on the graph to add the text box.

Step 3: Type the text in the text box.

Step 4: Customize the font, color, and size of the text as required.

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The percent of increase in the temperature of the liquid 67.97% .

We have that these are a few ways to decipher the appropriate safety protocol for this lab experiment

From the question we are told that

Generally

Safety precautions are the unforgettable rules and regulations that governs a laboratory.

This might vary across experiments such as the one in this scenario.

Therefore,  the percent of increase in the temperature of the liquid 67.97% .

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Answer:

  1/60 gallon

Step-by-step explanation:

You want to know what is left of 4/5 gallon of paint if 3/4 gallon was used to paint a doghouse, and 2/3 of the remaining amount was used to paint a door.

To find the amount remaining we subtract the amount used for the doghouse from the original amount:

  4/5 -3/4 = (16 -15)/20 = 1/20 . . . . . gallon

2/3 of that was used, so 1/3 of it remains:

  (1/3)(1/20 gallon) = 1/60 gallon

There is 1/60 of a gallon of paint left in the can.

__

Additional comment

In a standard size gallon paint can, that's about 0.11 inches of paint in the bottom.

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The equation of the line in point slope form that passes through  the point (2, 6) and has a slope of 5 is y - 6 = 5(x - 2) .

The equation of a line can be represented in different form such as standard form, general form, point slope form and slope intercept form.

Therefore,

y - y₁ = m(x - x₁)

where

The line passes through (2, 6) and has a slope of 5.

Hence,

m = 5

The equation of the line in point slope form is as follows;

y - 6 = 5(x - 2)

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Answer:

1mph or 1 mile per hour

Step-by-step explanation:

simple

Answer:

D.

Hope this helps!

Step-by-step explanation:

A and C are both squares and B is a rectangle but is different because the values are in different spots than the on the solid figure shown.

Answer:

y= -17/18x-1/3

Step-by-step explanation:

The slope-intercept form of the equation is y = (-17/18)x -1/3.

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

Given:

A linear equation 17x + 18y = -6.

To find the slope-intercept form:

Simplifying,

17x + 18y = -6

18y = -6 -17x

y = -17/18x -1/3

Therefore, y = (-17/18)x -1/3 is the slope-intercept form.

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is it a big number or short number

The required number of cars that can be washed by Damien in 40 hours is 25.

Given that,
Damien washes cars on his summer vacation to earn money. It took him 16 hours to wash 10 cars. Use scaling to complete the table to determine the number of cars Damien could wash in 40 hours, is to be determined.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Let the number of cars that were washed in 40 hours be x,
Now, according to the question.
16 / 10 = 40 / x
x = 400 / 16
x = 25

Thus, the required number of cars that can be washed by Damien in 40 hours is 25.

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Answer:

x=18/5

Step-by-step explanation:

Answer:

10 coconut cupcakes

Step-by-step explanation: so, here is what we do since there is 8 cupcakes sold and 4 of them are coconut cupcakes we divide. this is hard to explain but we know that 8 divided by 4 is 2 so we have to multiply to 20 so like 2 times 10 which gives us 20. then we use the answer that we got from multiplying which is 10 as our answer if that makes sense.

9514 1404 393

Answer:

  0

Step-by-step explanation:

The slope can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (7 -7)/(-5 -4) = 0/-9 = 0

The slope of the line is 0. It is a horizontal line with equation y = 7.

Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

Answer:

AB= 7.45

Anwer C)

Step-by-step explanation:

Cos (angle) = Nearest side / Huypothenuse

Cos(20)      = 7 / AB

Cos(20) * AB = (7 /AB) * AB

Cos (20) * AB = 7

(Cos(20) *AB) / Cos(20) = 7 / Cos(20)

AB = 7 / cos(20)

AB=    7.45

When the domain is substituted, the Range of the function will be

7 ≤ y < ∞

The range of a function is the the spread of minimum value of the function to maximum value. We can find the range by substituting different domains into the function.

Given a function  f(x) = |x| + 7

This |x| show that it is a modulus. That is, the domain will always be positive numerals.

The minimum domain = 0, so the minimum f(x) = 0 + 7 = 7

The maximum domain = ∞, so the maximum f(x) = ∞ + 7 = ∞

y = f(x)

Therefore, the range of of the function f(x) = |x| + 7 will be 7 ≤ y < ∞

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A sample of matter experiences a decrease in average kinetic energy as it continues to cool. One would anticipate that the particles will eventually come to a complete stop. The temperature at which particles should theoretically stop moving is absolute zero. Thus, option B is correct.

What theory directly contradicts concept of absolute zero?

All molecules are predicted to have zero kinetic energy and, as a result, no molecular motion at absolute zero (273.15°C). Zero is a hypothetical value (it has never been reached).

Absolute zero signifies that there is no kinetic energy involved in random motion. A substance's atoms don't move relative to one another.

Therefore, Kinetic energy because it can create heat which goes against the absolute zero. A gas molecule's kinetic energy tends to zero when the temperature reaches absolute zero.

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Answer:

y = 0.6x

It's in the first quadrant because you can't buy a negative amount of tickets and you can't pay a negative amount of money.

Answer:

0.6

Step-by-step explanation:

Answer:

15. 4x¹⁰

16. 30m³

Step-by-step explanation:

15. Area of Rectangle is given by A=LW

    since W=x⁵ and L is 4 times W, L=4x⁵

    therefore, A = x⁵(4x⁵) = 4x¹⁰

16. Volume of Rectangular Prism is V=LWH

    W=6L=6m  and  H=5L=5m  and  L=m

   so V = m(6m)(5m) = 30m³

The value of q is 0.35.

The value of p is 0.16.

The value of r is 0.27.

The value of P(A given NOT B) is approximately 0.4211.

To calculate the values of p, q, and r, we can use the information provided in the Venn diagram and the probabilities of events A and B.

Given:

P(A) = 0.43

P(B) = 0.62

P(A∩B) = 0.27

Calculating the value of p:

The value of p represents the probability of event A occurring without event B. In the Venn diagram, p corresponds to the region inside A but outside B.

We can calculate p by subtracting the probability of the intersection of A and B from the probability of A:

p = P(A) - P(A∩B)

= 0.43 - 0.27

= 0.16

Therefore, the value of p is 0.16.

Calculating the value of q:

The value of q represents the probability of event B occurring without event A. In the Venn diagram, q corresponds to the region inside B but outside A.

We can calculate q by subtracting the probability of the intersection of A and B from the probability of B:

q = P(B) - P(A∩B)

= 0.62 - 0.27

= 0.35

Therefore, the value of q is 0.35.

Calculating the value of r:

The value of r represents the probability of both event A and event B occurring. In the Venn diagram, r corresponds to the intersection of A and B.

We are given that P(A∩B) = 0.27, so the value of r is 0.27.

Therefore, the value of r is 0.27.

Finding the value of P(A given NOT B):

P(A given NOT B) represents the probability of event A occurring given that event B does not occur. In other words, it represents the probability of A happening when B is not happening.

To calculate this, we need to find the probability of A without B and divide it by the probability of NOT B.

P(A given NOT B) = P(A∩(NOT B)) / P(NOT B)

We can calculate the value of P(A given NOT B) using the provided probabilities:

P(A given NOT B) = P(A) - P(A∩B) / (1 - P(B))

= 0.43 - 0.27 / (1 - 0.62)

= 0.16 / 0.38

≈ 0.4211

Therefore, the value of P(A given NOT B) is approximately 0.4211.

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The amount the women would pay for 2.4 kg of chicken and 2 kg of meat in total is $15.2

The meaning of unit price is a price quoted in terms of so much per agreed or standard unit of product or service

Given that, a woman bought 1.8 kg of chicken and 1.6 kg of meat. The chicken cost $5.40 and the meat cost $6.40,

We need to find, if she had bought 2.4 kg of chicken and 2 kg of meat, how much would she have had to pay,

To find the same, we will first find the unit price of each,

Unit price = total price / total quantity

Since, 1.8 kg of chicken costs $5.40,

Therefore, 1 kg will cost = 5.40 / 1.8 = $3

Similarly,

If 1.6 kg of meat costs $6.40,

Therefore, 1 kg will cost = 6.40 / 1.6 = $4

Now, to find the cost of 2.4 kg of chicken and 2 kg of meat, we will multiply the unit prices to the required quantities,

Therefore,

2.4 kg of chicken will cost = 2.4 x 3 = $7.2

2 kg of meat will cost = 2 x 4 = $8

In total, she had to pay = 8+7.2 = $15.2

Hence, the amount the women would pay for 2.4 kg of chicken and 2 kg of meat in total is $15.2

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Answer:

A. Ryan conducted a survey where he asked about qualitative data.

Step-by-step explanation:

Surveys when carried out on people as the subjects are meant for the purpose of extracting some specific information from them. Observational studies involve close monitoring of the subject under evaluation. Quantitative data mainly deal with numbers and figures obtained from measurements or calculations. Qualitative data on the other hand is basically descriptive in nature and could sometimes be quite detailed.

Ryan's data collection would require a yes or no answer from the schools involved, and this information is descriptive or qualitative in nature. It also does not involve observation or close monitoring as he relies on the information provided by the school.

Answer: A

Step-by-step explanation:

Have a nice day

The exhaust fan on a typical kitchen stove pulls 0.328 m³/sec (cubic meters per second).

Unit conversion is the process of converting a quantity expressed in one unit of measurement to an equivalent quantity expressed in another unit of measurement, while keeping the underlying physical quantity the same. It involves using conversion factors that relate the two units of measurement to each other, based on their respective definitions and relationships.

First, we need to convert 600 CFM (cubic feet per minute) to cubic meters per minute:

1 feet = 12 in

1.00 in = 2.54cm

100 cm = 1 m

600 CFM = (600 ft³/min)(12 in/ft)³(2.54 cm/in)³(1 m/100 cm)³ = 16.99 m³/min

Next, we need to convert cubic meters per minute to cubic meters per second:

1 minute = 60 seconds

16.99 cubic meters/minute = (16.99 m³/min)(1 min/60 s) = 0.283 m³/s

Therefore, the answer is a. 0.283 m³/s.

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Answer: