points on a perpendicular bisector of a line segment are equidistant from the segment’s endpoints. is the meaning of _____

Answer:

3/4

Step-by-step explanation:

First way:

We can find a common denominator for the fractions and then add the fractions:

½ + ¼ = (2/4) + (1/4)

= (2 + 1)/4

= 3/4

Second way:

We can convert the fractions to decimals and then add the decimals:

½ + ¼ = 0.5 + 0.25

= 0.75

In both methods, the result is 3/4 or 0.75.

Answer:

6 centimeters is equal to 0.07 yards.

Step-by-step explanation:

To convert 6 centimeters into yards, we need to first convert the distance from centimeters to meters by dividing the distance in centimeters by 100:

Distance in meters = Distance in centimeters / 100

Distance in meters = 6 cm / 100

Distance in meters = 0.06 m

Next, we can convert the distance from meters to yards by dividing the distance in meters by 0.9144, which is the number of meters in a yard:

Distance in yards = Distance in meters / Meters per yard

Distance in yards = 0.06 m / 0.9144 m/yard

Distance in yards = 0.0654 yards

Rounded to the nearest hundredth, 6 centimeters is equal to 0.07 yards.

Answer:

Step-by-step explanation:

0.0656168

round to the nearest hundredth is:

0.07

The answer is d. plane ADE, plane CGH.

The volume of the soup pot is 226.08 cube inches.

Jayla bought the ingredients to make chicken soup, and wanted to make a double batch, which would be 12 cups of soup.

A quick search told her that this was 173.3 cubic inches. she hoped the soup pot below would be big enough.

The soup pot is 8 inches tall with a radius of 3 inches.

We have to find the volume of the soup pot.

Since the cup is in the shape of cylinder.

So the volume of cylinder = πr^2h

from the question, r = 3 inches and h = 8 inches

π = 3.14

The volume of cylinder = πr^2h

The volume of cylinder = 3.14 * (3)^2*(8)

The volume of cylinder = 226.08 cube inches

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[tex]\huge \boxed{\sf x < -3} \\\\\\ \displaystyle \sf 15 < -5x \\\\ Divide\ each\ side\ by\ -5\ and\ switch\ the\ symbol. \\\\ \frac{15}{-5} > \frac{-5x}{-5} \\\\-3 > x[/tex]

the number of tickets sold in advance to the number of tickets needed to be sold at the door is 88 .The club needs to sell at least 160 tickets at the door to reach their goal of $400.

1. Calculate the total amount of money raised from the tickets sold in advance: 40 tickets x $4 = $160

2. Subtract the total amount from the goal of $400: $400 - $160 = $240

3. Calculate the number of tickets needed to be sold at the door to reach the goal: $240 / $5 = 48 tickets

4. Add the number of tickets sold in advance to the number of tickets needed to be sold at the door: 40 + 48 = 88

Therefore, the club needs to sell at least 88 tickets at the door to reach their goal of $400.

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Answer:

The answer is D.

Step-by-step explanation:

Test each multiply choice to see if given the x-axis points.

(x+1)(x+2)(x-3)=0

(x+1) = 0 , (x+2) = 0 , (x-3) = 0

x = -1 , x = -2 , x = 3

(-1 , 0) , (-2 , 0) , (0 , 3)

The speed of the current and his paddling speed in still water will be 5.33 miles per hour and 1.33 miles per hour, respectively.

Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.

We know that the speed formula

Speed = Distance/Time

Let 'x' be the paddling speed in still water and 'y' be the current of water. Then the equations are given as,

x - y = 10 / 2.5

x - y = 4                  ...1

x + y = 10 / 1.5

x + y = 6.667          ...2

Add both equations, then we have

x + x = 4 + 6.667

x = 5.33 miles per hour

Then the value of 'y' is given as,

x - y = 4

5.33 - y = 4

y = 1.33 miles per hour

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Answer:

To determine the percentage decrease in W when x is decreased by 9.75%, we need to first determine the relationship between w and x. Since w is proportional to the square root of x, we can write an equation to represent this relationship as follows:

w = k * √x

where k is the proportionality constant.

If the value of x is decreased by 9.75%, we can write the new value of x as follows:

x' = x * (1 - 0.0975) = x * 0.9025

Substituting this expression for x' into the equation above, we get:

w' = k * √(x * 0.9025)

To determine the percentage decrease in w, we can divide the new value of w by the original value of w and multiply by 100% to get the percentage change, or:

percentage decrease in w = (w' / w) * 100%

Substituting the expressions for w' and w into this equation, we get:

percentage decrease in w = [(k * √(x * 0.9025)) / (k * √x)] * 100%

Simplifying this expression, we get:

percentage decrease in w = (√(0.9025)) * 100%

Since the square root of 0.9025 is approximately 0.95, we can say that the percentage decrease in w is approximately 5%. This means that the value of w decreases by approximately 5% when the value of x decreases by 9.75%.

The length of ladder leaning against the side of a house is 10.44 m .

As  shown in the figure below h is the length of the house so we have to find h .

the ladder form a right angled traingle where base of the ladder is 3 m.

and the height of wall to which ladder is leaning against is 10m. and the ladder is the longest side of the right angled traingle i.e Hypotenuse

so we wil use Pythagoras theorem to find the longest side of ladder + wall system

so for a right angled traingle Pythagoras theorem states that

[tex]h^2 = p^2 + b^2[/tex]

where h=Hypotenuse ,p=perpendicular , b=base.

so we have to find h given p= 10m ,b=3m

so putting the values of p and b in the above equation we get

[tex]h^2 = 10^2 +3^2 =109[/tex]

so

[tex]h=\sqrt{109} = 10.44 m[/tex]

so the length of ladder is 10.44 m

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Answer:

The answer is √84.

Step-by-step explanation:

To find the value of p, we need to square the expression 2√21 to get rid of the square root. When we do this, we get 4 * 21 = 84, so the value of p is 84. This means that 2√21 can be written as √84.

Answer:

p = 84

Step-by-step explanation:

2[tex]\sqrt{21}[/tex] ( place the 2 inside the radical by squaring it , that is

= [tex]\sqrt{2^2(21)}[/tex]

= [tex]\sqrt{4(21)}[/tex]

= [tex]\sqrt{84}[/tex]

A car travels along the x-axis with increasing speed. Among the given graphs. the graph given in (a) most closely represents the motion of the car.

The slope of graphs (b) and (e) remains constant.

Here, the distance increases with time.

Graph (c) shows decreasing the velocity of the vehicle.

In graph (d) the velocity of the vehicle increases and then slows down.

In graph (a), speed is increased which means that as time passes the slope of the graph becomes steeper. here, the slope of the graph increases with time.

Hence, the speed of the car increases.

Therefore, the correct representation of the motion of the car is the graph (a).

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The question diagram is missing in the question,

The diagram is like (As attached below)

Answer:

2/3x + 17

Step-by-step explanation:

2/3x represents the 2/3, then add the additional 17 at the end

After solving, the expression as per the given statement will be equal to 135.

If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.

The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. To include terms in an expression, a mathematical operation like reduction, addition, multiplication, or division is used.

As per the given information in the question,

The given statement is, the product of fifteen and negative three decreased by twelve.

Let the other number be x.

Negative 3 is decreased by 12.

x = 12 - 3 = 9

Then, the product of 15 and another number will be,

= 15 × 9

= 135

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Answer:

x= 2 and x= -(2/3)

Step-by-step explanation:

Step 1 :Multiply all terms by the same value to eliminate fraction denominators

x^2/ x+6 = 1/2

2(x+6)*(x^2/x+6) = 2(x+6) * 1/2

Step 2: Cancel multiplied terms that are in the denominator

2x^2= x+6

Step 3: Move terms to the left side

2x^2 - (x+ 6) = 0

Step 4: Distribute

2x^2 - x - 6 = 0

Step 5: Use the quadratic formula

x= ( - (-1) +- Squar((-1)^2-4*2(-6)) ) / 2*2

Step 6: Simplify

x= (1+- 7)/ 4

Step7: Separate the equations

x= (1+7)/ 4 and x= (1- 7)/ 4

Step 8: Solve that 2 small equation

x= 2 and x= -(3/2)

Answer:

x = - [tex]\frac{3}{2}[/tex] , x = 2

Step-by-step explanation:

x² : x + 6 = 1 : 2

express the ratio in fractional form

[tex]\frac{x^2}{x+6}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2x² = x + 6 ( subtract x + 6 from both sides )

2x² - x - 6 = 0 ← in standard form

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × - 6 = - 12 and sum = - 1

the factors are - 4 and + 3

use these factors to split the x- term

2x² - 4x + 3x - 6 = 0 ( factor the first/second and third/fourth terms )

2x(x - 2) + 3(x - 2) = 0 ← factor out (x - 2) from each term

(x - 2)(2x + 3) = 0 ← in factored form

equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - [tex]\frac{3}{2}[/tex]

Answer:

Step-by-step explanation:

Solution

verified

Verified by Toppr

Correct option is D)

p p

∼p⇒q  ∼(∼p⇒q)

T  T  T  F

T  F  T  F

F  T  T  F

F  F  F  T

p  q  p∧q  p∧∼q ∼p∧q   ∼p∧∼q

T  T  T  F  F  F

T  F  F  F  F  F

F  T  F  T  T  F

F  F  F  F  F  T

So we see the given relation is logically equivalent to option D, as shown in last column.

Answer:

11

Step-by-step explanation:

x + 6 + 2y

x + 2y + 6

x + 2y = 5

5 + 6 = 11

Answer:

full answer part(A,B,C)

Part A: An experiment would be the most appropriate design for investigating the effectiveness of a new formula of fertilizer.

The reason for this is that an experiment allows for the manipulation of one or more variables in order to study their effects on a particular outcome. In this case, the orchard owner could manipulate the use of the new formula of fertilizer and compare the results to the use of the current popular brand. This would allow for a more controlled and systematic investigation of the effects of the new formula on fruit production, as compared to other designs such as observational studies or surveys, which do not involve manipulation of variables.

Part B: To implement the experiment, the orchard owner could divide the orchard into two sections, with one section receiving the new formula of fertilizer and the other section receiving the current popular brand. The orchard owner could then measure the fruit production in both sections over a period of time, taking into account factors such as the type of fruit being grown, the age of the trees, and the weather conditions during the study period. It would also be important to ensure that the two sections are as similar as possible in terms of the type of soil, the amount of sunlight they receive, and other relevant factors that could affect fruit production.

Part C: One benefit of this design is that it allows for a more precise and accurate assessment of the effectiveness of the new formula of fertilizer, as compared to other designs such as observational studies or surveys. By manipulating the use of the fertilizers and controlling for other variables, the orchard owner can be more confident that any differences in fruit production are due to the use of the new formula, rather than other factors that might confound the results. This can help the orchard owner make more informed decisions about whether to adopt the new formula for use on their orchard.

The value of x from the given equation is 6

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 4x=24.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here, 4x=24

x=24/4

x=6

Therefore, the value of x is 6.

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"Your question is incomplete, probably the complete question/missing part is:"

Solve 4x=24.

The intervals in which both functions f(x) and g(x) are increasing are given as follows:

(-∞, -3) U (-1, ∞).

The behavior of a function is classified as either increasing, decreasing or constant, as follows:

From these bullet points and the functions given at the end of the answer, we have that the behavior of each function is given as follows:

Thus, both functions are increasing on the interval, (-∞, -3) U (-1, ∞), which is the first option.

The problem is given by the image shown at the end of the answer.

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The general solution to the given system of equations  dx/dt = 4x − y,  dy/dt = 16x − 4y is y = 4x + C

In this question we need to find the general solution of the given system. dx/dt = 4x − y              ............(1)

dy/dt = 16x − 4y           .............(2)

Divide equation (2) by equation (1),

(dy/dt)/(dx/dt) = 16x − 4y /  4x − y

(dy/dt)/(dx/dt) = 4(4x − y) / (4x − y)

(dy/dt)/(dx/dt) = 4

(dy/dt)* (dt/dx) = 4

dy/dx = 4

dy = 4 * dx

Now integrate both sides of above expression.

∫dy = ∫4 * dx

y = 4x + C

Therefore, the general solution is y = 4x + C

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Answer:

22.5

Step-by-step explanation:

total bill =$150

tip percentage =15%

now,

tip money = 15% of $150

=150×15/100

=2250/100

=$22.5

The document do you need to have on hand when preparing to file your tax return is W-2

A tax return is a form or forms filed with a tax authority that reports income, expenses, and other pertinent tax information.

To file your return, you'll need the following on hand: Your W-2: This form will come from your company and list not only your salary for the year, but the amount of taxes withheld along the way. You're required to file your W-2 along with your taxes, so if you're a salaried employee, this form is non-negotiable.

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The number of minutes of practice in two weeks is 658.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Total minutes of practice in one week = 329.

Total minutes of practice in two weeks.

= 2 x 329

= 658 minutes.

Thus,

658 minutes was the practice in two weeks.

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The probability that the proportion surviving for at least five years will exceed 80% is 0.00084.

It is given to us that -

65% of the total dialysis patients can survive for at least 5 years

A simple random sample consists of 100 new dialysis patients

We have to find out the probability that the proportion surviving for at least five years will exceed 80%.

From the given information, we have -

Probability, p = 65% = 0.65

=> Population mean, μ = 0.65

Number of patients in the sample, n = 100

The raw data, x = 80% = 0.80

Now, we know the standard deviation of a given sample can be calculated as -

σ = [tex]\sqrt{\frac{p(1-p)}{n} }[/tex]

=> σ = [tex]\sqrt{\frac{0.65(1-0.65)}{100} }[/tex]

=> σ = [tex]\sqrt{\frac{0.2275}{100} }[/tex]

=> σ = 0.04770 ----- (1)

We also know that the z-score can be calculated by the formula -

z = (x-μ)/σ

Substituting all the values in the above formula for z-score, we have -

z = (x-μ)/σ

=> z = (0.80-0.65)/0.04770

=> z = 3.14

From the normal distribution table, we can find out the corresponding area for the value of z = 3.14 which is equal to 0.99916.

For a value of the raw data, x to be more than 80%, the area to the right of normal distribution table for z = 3.14 is required.

=> P(x>80%) = 1-0.99916

=> P(x>80%) = 0.00084

Therefore, the probability that the proportion surviving for at least five years will exceed 80% is 0.00084.

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Answer:

10.8 - 2.3  = 8.5ft2 amount of $153

Can i use proportion for this?

8.5/153 : 1/x

8.5x = 153

x = 18

Step-by-step explanation:

The simplified expression of 3x⁻⁴y⁴ is 3(y/x)⁴

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

3x^-4y^4

Rewrite properly

So, we have the following representation

3x⁻⁴y⁴

Express x⁻⁴ as a fraction

So, we have the following representation

3y⁴/x⁴

x⁴ and y⁴ have the same exponent

So, they can be combined as follows

3(y/x)⁴

Hence, the equivalent is 3(y/x)⁴

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The value does 50% of the data lie above is 50.5 and is called the median.

The median is the value that's exactly in the middle of a dataset when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values.

Given that, The box plot shows the times for sprinters on a track team. A horizontal number line starting at 40 with tick marks every one unit up to 59. The values of 44, 48, 50.5, 53, and 56 are all marked by the box plot.

Data we get from the graph is

Minimum (min) = 44

Lower 1 (Q1) = 48

Median (med) = 50.5

Upper 3 (Q3) = 53

Maximum (max) = 56

The median is considered the second quartile (Q2).

The median cuts the data set in half. Half of the answers lie below the median and half lie above the median.

Hence, The value does 50% of the data lie above is 50.5 and is called the median.

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