-4x² + x - 7 = y
2x + 8 = -y ( solve by elimination )

The unicycle wheelof diameter 30 inches travels 282.6 inches in 6 revolution.

An inch can be defined as a unit of length in the customary system of measurement.

To calculate the amount of inches the unicycle will travel in 6 revolution, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the unicycle wheel travels 282.6 inches.

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Angle of elevation for the tree grows an additional 10 feet, what is the new angle of elevation from the point 25 feet is angle of elevation 47.1 degree.

Angle of elevation is the elevation in the height of angles from a given points.

Length of tree = 10 feet

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The expression that represents the chart is 2 * x + 2 * 1 1/2 = 3 * (x + 1 1/2)

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

The chart

On the chart, we have the following values

Green = x

Purple = 3

Orange = 1 1/2

In terms of the variable x, we have the following equation

2 * Green + 2 * Orange = Purple  * (x + Orange)

Substitute the known values in the above equation, so, we have the following representation

2 * x + 2 * 1 1/2 = 3 * (x + 1 1/2)

The question does not require that the equation be solved

Hence, the required expression is 2 * x + 2 * 1 1/2 = 3 * (x + 1 1/2)

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The balloon will be collapsed due to the excess pressure.

if we press on a balloon that is already filled by air stretched over the jar, the air of the jar will enter the balloon and create excess pressure beyond its tolerance and finally the balloon will be collapsed.

as the air-filled balloon is pressed directly over a jar, there is no way to leakage of air, besides the air of jar enter the balloon causes high pressure on the wall of balloon and finally it is destroyed. The result represents the presence of gases inside any empty bottle as well as any jar.

hence, we understand that every empty jar or bottle has gaseous substances with them.

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Here AAS  means Angle-Angle-Side whereas ASA means Angle-Side -Angle.

Here AAS stands for Angle-Angle-Side it depicts that when two angles and a non-included side of a triangle are equal to the comparing angles and sides of another triangle, at that point the triangles are said to be congruent. whereas the ASA stands Angle-Side-Angle, where  If any two angles and the side included between the angles of one triangle are identical to the comparing two angles and side included between the angles of the second triangle, at that point, the two triangles are said to be consistent by ASA rule.

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To graph a rational function example, start by writing the equation in the form y = (ax + b)/(cx + d).

Then, plot the points where the denominator equals zero (when x = -d/c). These points are called vertical asymptotes.Next, plot the points where the numerator equals zero (when x = -b/a). These are called horizontal asymptotes.Finally, plot points between the vertical and horizontal asymptotes to graph the rational function.Plotting the points between the vertical and horizontal asymptotes will allow you to see the shape of the graph. Start by plotting points on either side of the vertical and horizontal asymptotes. Then, plot points at evenly spaced x-values between the vertical and horizontal asymptotes. For example, if the vertical asymptote is at x=-d/c, and the horizontal asymptote is at x=-b/a, you can plot points at x=-1.5d/c, x=-0.5d/c, x=-1.5b/a, and x=-0.5b/a. By plotting these points and connecting them with a smooth curve, you can graph the rational function.

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Answer:

17

Step-by-step explanation:

1/2(3x+7)

1/2(3(9)+7)

1/2(27+7)

1/2(34)

17

There are three branch prediction scheme: predict not taken, predict taken, and dynamic prediction. assume that they all have zero penalty when they predict correctly and two cycles when they are wrong.

In computer architecture, a branch predictor is a digital circuit that attempts to guess which direction a branch (e.g. an if-then-else construct) is going finally announced. The purpose of the branch predictor is to improve the flow of the instruction pipeline. Branch predictors play a key role in achieving high performance in many modern pipeline microprocessor architectures.

1. If the branch is taken 5% of the time, the branch prediction scheme is ``predicted-taken'' because the process must start fetching and then executing at the target address.

2. If a branch is taken 95% of the time, the branch outcome is known with certainty, so the branch prediction scheme is "unpredictable".

3. If the branch is taken 70% of the time, then the prediction scheme is "dynamic prediction" and the branch prediction can change dynamically during program execution.

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The product to the nearest whole number is equivalent to zero.

Given is to write the product (0.7 x 0.85) to the nearest whole number.

We have the product as -

0.7 x 0.85

(7/10) x (85/100)

(7/10) x (17/100)

119/1000

0.119

0.12

0.1

0

Therefore, the product to the nearest whole number is equivalent to zero.

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Using logical reasoning, we can say that (C) Kaylon is wrong because the shaded temperature is -° according to the given image.

In addition to formal deduction, two more categories of logical thinking are frequently distinguished: induction and abduction.

The following can be explained if one has a precondition or premise, a conclusion or logical consequence, and a rule or material conditional that indicates the conclusion given the precondition.

Mathematical logic and philosophical logic are frequently used to support the claim that "when it rains, objects outside become wet.

The grass is outside, therefore: when it rains, the grass gets wet."

A finding of the rule is supported by inductive reasoning.

So, according to the given, we can easily guess that Kaylon is wrong because the shaded temperature is -°.

Therefore, using logical reasoning, we can say that (C) Kaylon is wrong because the shaded temperature is -° according to the given image.

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The system of Linear Equation has Infinitely Many Solutions

What is Linear Equation in Two Variables?

A linear equation in two variables is one that is stated in the form ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.

Solution:

To check the numebr we need to find the vaules of

a1/a2, b1/b2, c1/c2

a1/a2 = -3/-6 = 1/2

b1/b2 = 4/8 = 1/2

c1/c2 = -5/-10 = 1/2

Since the values of a1/a2 = b1/b2 = c1/c2

Theerefore, the system of Linear Equation has Infinitely Many Solutions

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By solving the equation 5[(46 - 14) / 4] we will get 40 as the answer

What is BODMAS?

The abbreviation BODMAS is used to assist pupils recall the order of mathematical operations - the right sequence in which to solve maths problems. BODMAS is an acronym that stands for B-Brackets, O-Orders (powers/exponents or roots), D-Division, M-Multiplication, A-Addition, and S-Subtraction.

Solution:

5[(46 - 14) / 4]

We will solve the round brackets first

5[ 32 / 4 ]

Now we will solve the square bracket

5 * 8 = 40

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Answer:

To solve a quadratic equation using the method of completing the square, we need to first write the equation in the form ax² + bx + c = 0, where a, b, and c are constants. In this case, the given equation is 2²+3x+37 = 0, which can be written as 4+3x+37 = 0.

To complete the square, we need to add a number to the constant term (in this case, 37) so that the coefficient of the x² term is a perfect square. In this case, the coefficient of the x² term is 4, which is already a perfect square. Therefore, we do not need to add any number to complete the square.

The correct answer is 0.

Step-by-step explanation:

Answer: 3.7

Step-by-step explanation: 15.9-12.2=3.7

Using the provided conditions and rule of inequality, The required expression is 11.25x + 14.75 <=80.

Both mathematical phrases, equations and inequalities, are created by connecting two expressions.

The Different Types of Equations are:

x= number of friends

Total parking cost = 14.75

Total ticket cost =11.25x

Total money = 80

Since, The total money to be spend can't cross $80, The inequality is given by 11.25x + 14.75 <= 80

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Answer:

1. c=72/15

2. y=4

3. k=-37/4

4.d=6

Step-by-step explanation:

1. c/6=12/15

Cross multiply. 72=15c.

Dividing by 15, we get C=72/15.

2. 21/7=3. So, 12/y=3. Solving for y, we get y=4.

3. -37/24=k/6

24/6=4. So, -37/k must equal 4.

-37/k=4

-37=4k

k=-37/4

4.

40/8=5. That means that 30/d=5

30=5d

d=6

Done!

Answer:

1

Step-by-step explanation:

41 is prime, so its only factors are 1 and 41.

Since 1 is a factor of 78 but 41 isn't a factor of 78, the greatest common factor is 1.

Answer:

Subtract

5

x

from both sides of the equation.

3

x

2

+

4

−

5

x

=

0

Once the quadratic is in standard form, the values of

a

,

b

, and

c

can be found.

a

x

2

+

b

x

+

c

Use the standard form of the equation to find

a

,

b

, and

c

for this quadratic.

a

=

3

,

b

=

−

5

,

c

=

4

Step-by-step explanation:

Solve the equation for

x

by finding

a

,

b

, and

c

of the quadratic then applying the quadratic formula.

x

=

5

±

i

√

23

6

Answer: 100 pi, or 314.15926...

Step-by-step explanation:

The circumference is 2r pi. r is 10. The area is r squared pi. 10 squared in 100, so 100 pi.

Answer: If a kangaroo hops 9km in 3 minutes, that means he runs 3km every minute, which we can multiply by 2 in order to get 6km in the first 2 minutes. [EXTRA: In one hour, the kangaroo can hop 180km, which means his top speed is 180km/h without accounting for fatigue]

Step-by-step explanation: a

Answer: d

Step-by-step explanation: got itright

Answer:

18 green eyed dolls and 34 blue eyed dolls

Step-by-step explanation:

Cadence has a total of 52 dolls, either green eyed or blue eyed so lets take the number of green eyed dolls as g and the number of blue eyed dolls as b. So you have

b + g = 52

also we know b is 16 greater than g so

b - 16 = g

transpose 16 & g

b - g = 16

Now we add the equations

b+g = 52

b-g = 16

______

2b = 68

(+g and -g cancel each other out)

so b = 34

If we put 34 into an earlier equation

34 + g = 52

g = 52 - 34

g= 18

The mean of the class is 94.6 and the range of the class is 55.

A dataset's mean is the sum of all values divided by the total number of values. It is the most widely used measure of central tendency and is frequently referred to as the "average."

The range of a set of numbers is the difference between its highest and lowest values. To find it, subtract the lowest value from the highest in the distribution.

The given data is 45,68,77,90,90,95,100,100,86,90,50,55.

The mean of the data will be calculated as,

Mean = (sum of the data) / ( number of the data)

Mean = ( 45 + 68 + 77 + 90 + 90 + 95 + 100 + 100 + 86 + 90 + 50 + 55)/12

Mean = 94.6

The range of the data will be calculated as,

Range = Highest value - The lowest value

Range =  100 - 45

Range = 55

The mode of the data is 90 because it has three repetitions.

The median of the data is the middlemost value of the data when the data is arranged in increasing order,

(45,50,55,68,77,86,90,90,90,95,100,100)

Median = ( 90 + 90 ) / 2

Median = 45

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If the scale of drawing is 1 inches : 250 inche and the real horse height is 15 inche, then the height of the horse in drawing is 0.06 inches.

The ratio that describes the relationship between the true figure itself and model is called the scale. It serves as a representation of the real statistics in smaller units on maps. A scale of 1:5, for instance, indicates that 1 on the map is approximately the size of 5 in the actual world.

The scale of drawing the horse = 1 inch :

Therefore in scale

Horse height in drawing equals one inch

The  height of the horse = 250 inche

The original height of the horse = 15 inche

The height in the picture = x inches

To find the height the horse in the picture, we have to use proportion

1 inch : 250 inche = x inches : 15 inche

1 / 250 = x / 15

1 × 15= 250x

250x = 15

x = 15/250

x = 0.06 inches

Therefore, the height of the horse in drawing is 0.06 inches

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Answer:

-24a+20

Step-by-step explanation:

just use distrubitive property

a) The average cost of the promotion is $ 0.01 per liter

b) the probability that Greer will refund more than $25 for a liter is 0.0107.

a.

Mean lifetime mileage : $33,500

Standard deviation of mileage: $3500

Observed miles: 30,000 miles

100 miles failed $1.00

Hence :

= (33,500 – 30,000) / 3500= 1

Cost of production

100 miles = $1.00

= 1* 1 / 100

= $ 0.01 per tire

b.

P (z < 25000 - 36500/5000)

P (z < -11500/5000)

z < -2.3

Hence:

1 - 0.9893

= 0.0107

Therefore, the Probability that gear will refund more than $50.00 per tire is: 0.0107

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Answer:

The correct answer is B. looking for work/total work force.

Unemployment rates are typically calculated by dividing the number of people who are looking for work by the total work force. The work force includes all people who are currently employed or actively looking for work, regardless of whether they are currently employed. The number of people who are looking for work is determined by surveying individuals and asking them whether they are currently seeking employment. The unemployment rate is then calculated by dividing the number of people who are looking for work by the total work force, and expressing this as a percentage.

The other answer choices are not accurate ways of calculating unemployment rates. Dividing the total work force by the number of layoffs (A) would not give an accurate measure of unemployment, as it would not account for people who are looking for work but have not been laid off. Dividing the number of people looking for work by the total population (C) would also not be an accurate way of calculating unemployment, as it would not take into account people who are not part of the work force (e.g. children, retirees, etc.). Therefore, the correct method for calculating unemployment rates is to divide the number of people looking for work by the total work force.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The unemployment rate for any area is the number of area residents without a job and looking for work divided by the total number of area residents in the labor force.

Using the percentage increase formula, we know that the rate of increase in the advertising cost of the company is 93.5%.

In mathematics, a percentage is a number or ratio that is expressed as a fraction of 100.

The percent symbol, "%," is widely used to denote it even if the abbreviations "pct," "pct," and rarely "pc" are also employed.

A% is a number that has neither dimensions nor a defined unit of measurement.

For instance, if you properly answered 75 out of 100 questions on a test, you would have received a 75% grade (75/100).

So, the percentage increase formula:

% increase: original - increase/original * 100

Increase: 76680-72000 - 4680

Now, substitute values as follows:

% increase: original - increase/original * 100

% increase: 72000 - 4680/ 72000* 100

% increase:93.5

Therefore, using the percentage increase formula, we know that the rate of increase in the advertising cost of the company is 93.5%.

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