The height of a triangle is twice the length of its base. The area of the triangle is 50 m2. Find the height and base to the nearest tenth of a meter.

Answer:

TRUE

Step-by-step explanation:

Answer:

The train is more reliable.

Step-by-step explanation:

The train is more reliable. The bus is on-time 87.5% of the time, while the train is on-time 90% of the time.

Answer:

C. 42

Step-by-step explanation:

Answer: 65 min

 7 pounds

Step-by-step explanation:

Answer:

its 12 feet

Step-by-step explanation:

The equation of the parabola will be y = - (x - 3)² + 9.

Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.

Then the equation of the parabola will be given as,

y = a(x - h)² + k

The graph shows the height y in feet of a flying insect x seconds after taking off from the ground.

Then the equation that represents the height of the insect as a function will be

From the diagram, the vertex of the parabola is at (3, 9). Then the equation of the parabola will be

y = a(x - 3)² + 9

The parabola is passing through the point (6, 0) will be

0 = a(6 - 3)² + 9

- 9 = 9a

a = -1

Then the equation of the parabola will be

y = - 1(x - 3)² + 9

y = - (x - 3)² + 9

The equation of the parabola will be y = - (x - 3)² + 9.

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The three conditions for a function to be continuous at a point x=a are:

a) The function is defined at x=a.

b) The limit of the function as x approaches a exists.

c) The limit of the function as x approaches a is equal to the value of the function at x=a.

The continuity of a function can be analyzed by observing its graph. However, as the graph is not provided, a specific discussion about its continuity cannot be made without further information. It is necessary to examine the behavior of the function around the point in question and determine if the three conditions for continuity are satisfied.

The function f(x) = { *** is not defined in the question. In order to discuss its continuity, the function needs to be provided or described. Without the specific form of the function, it is impossible to analyze its continuity. Different functions can exhibit different behaviors with respect to continuity, so additional information is required to determine whether or not the function is continuous at a particular point or interval.

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Answer:

it is shifted up three points

Step-by-step explanation:

Answer:

660 exchanges

Step-by-step explanation:

Number of relatives = 12

Number of years = 5

Since each relative gives gift to one another each year:

Then each relative hands out 11 gifts (person giving out the gift will not be counted) to the others, and others also do the same.

Therefore, yearly exchange :

(Number of relatives * number of gifts given out per person)

(12 × 11) = 132

Number of exchanges after 5 years :

(Number of yearly exchanges × number of years)

(132 × 5) = 660

Answer:

A.2 Hours.

B.2 Inches.

Step-by-step explanation:

Its easy,

A. 8 inches = 4 hours, 4 inches = .... hours

4 inches = 8 ÷ 2

Hours: 4 hours ÷ 2 = 2 hours

B. 8 inches = 4 hours, .... inches = 1 hour

1 hour = 4 ÷ 4

Inches: 8 inches ÷ 4 = 2 inches.

Based on these scenarios, we see that if Gina walks 3 additional laps, each lap will take her 10 minutes. Therefore, on the days that she walks until 3:40, Gina walks 3 extra laps.

From 2:00 to 3:10 (1 hour and 10 minutes), Gina warms up, plays soccer, and walks two laps.

This means that Gina has 1 hour and 10 minutes - the time it takes to warm up, play soccer, and walk two laps - to walk additional laps until 3:40. We need to find out how many laps she can walk in this remaining time.

The remaining time from 3:10 to 3:40 is 30 minutes (3:40 - 3:10 = 0:30).

Since Gina takes the same amount of time to walk each lap, we need to determine the duration of time she spends on each lap. To do this, we divide the remaining time by the number of additional laps:

30 minutes ÷ Number of additional laps = Time per lap

Now, we can check different scenarios by assuming a number of additional laps and calculating the time per lap:

1 additional lap:

30 minutes ÷ 1 additional lap = 30 minutes per lap

2 additional laps:

30 minutes ÷ 2 additional laps = 15 minutes per lap

3 additional laps:

30 minutes ÷ 3 additional laps = 10 minutes per lap

Based on these scenarios, we see that if Gina walks 3 additional laps, each lap will take her 10 minutes. Therefore, on the days that she walks until 3:40, Gina walks 3 extra laps.

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Answer:

6x + 9

Step-by-step explanation:

Hello!

First, remove the parenthesis:

Combine like terms:

The final expression is 6x + 9.

The modelled  expression on the number line is -3 ≤  x  ≤ 7

Recall that an inequality is a relationship between two expressions or values that are not equal to each other in mathematics.

A number line is a pictorial representation of numbers on a straight line  It is used to compare numbers that are placed sequentially at equal distances along its length and it can be extended infinitely in any direction and is usually represented horizontally.

The range of numbers is from -3 to +7

Putting this in inequality form we have -3 ≤  x  ≤ 7

This implies that the values of the number on the number line ranges from -3 to a +7

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Answer:

Rewrite the equation as x+xyz=wx+xyz=w.

x+xyz=wx+xyz=w

Subtract xx from both sides of the equation.

xyz=w−xxyz=w-x

Divide each term by xzxz and simplif

Answer:

All are true

Step-by-step explanation:

You’re welcome

The volume of the 95% solution that we need is 390 mL.

We are told that we have in the solution that we have;

We have also been told that we are trying to make a solution that would contain a known volume of 60% alcohol solution

Given the mixture of the solutions that we have, we can write;

(455 * 0.3) + (0.95 * x) = (0.60 * x)

x is the unknown volume that we are looking for

136.5 + 0.95x = 0.6x

x = 390 mL

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Given :-

To Find :-

Solution :-

Let us say that the maximum marks for the exam was x . So he got 75% of x that is ,

\(\longrightarrow\) Marks = 75% of x

\(\longrightarrow\) Marks = 75/100 × x

\(\longrightarrow\) Marks = 3/4 × x

\(\longrightarrow\) Marks = 3x/4

Hence he scored 3x/4 marks in the test.

The median of the given data set is 259.

To find the median of a set of data, we arrange the data in ascending or descending order and locate the middle value.

If there is an odd number of data points, the median is the middle value. If there is an even number of data points, the median is the average of the two middle values.

Arranging the given data in ascending order, we have:

{154, 215, 224, 253, 254, 259, 263, 267, 276, 293, 389}

There are 11 data points, which is an odd number.

Therefore, the median is the middle value of the ordered data set.

The middle value is the 6th number in the ordered list, which is 259.

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This question basically asks:

4 is 20% of what

So, just multiply everything by five so you turn that into

100% is 20

4 is indeed 20% of 20

Answer:

There is 20 total

Step-by-step explanation:

every 20% is 4, so you add 4 till you get 100%

To calculate the total charge within the cylinder with dimensions r=1.5 and h=3, we use the potential function V = 5r + 4 cos Ø in cylindrical coordinates.

The total charge can be obtained by integrating the charge density over the volume of the cylinder.

The potential V within the cylinder is given by V = 5r + 4 cos Ø, where r represents the radial distance from the axis of the cylinder and Ø represents the angle in the cylindrical coordinate system. To calculate the total charge within the cylinder, we need to integrate the charge density over its volume.

The charge density ρ can be related to the potential by ρ = -∇²V, where ∇² is the Laplacian operator. In cylindrical coordinates, the Laplacian operator takes the form:

∇² = (1/r) ∂/∂r (r ∂/∂r) + (1/r²) ∂²/∂ز + ∂²/∂z²

Since the potential function V does not depend on the z coordinate, the Laplacian reduces to:

∇² = (1/r) ∂/∂r (r ∂/∂r) + (1/r²) ∂²/∂ز

Applying this operator to the potential function V, we find:

∇²V = (1/r) ∂/∂r (r ∂V/∂r) + (1/r²) ∂²V/∂ز

To find the charge density, we substitute this expression into ρ = -∇²V:

ρ = -(1/r) ∂/∂r (r ∂V/∂r) - (1/r²) ∂²V/∂ز

To calculate the total charge, we integrate the charge density ρ over the volume of the cylinder:

Q = ∫∫∫ ρ dV = ∫∫∫ -(1/r) ∂/∂r (r ∂V/∂r) - (1/r²) ∂²V/∂ز dV

The integration is performed over the cylindrical coordinates r, Ø, and z, with appropriate limits. Evaluating this integral will give us the total charge within the cylinder.

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Answer:

3.5

Step-by-step explanation:

Set up the Pythagorean Theorem (a^2 + b^2 = c^2) where the unknown side is x:

2^2 + x^2 = 4^2

4 + x^2 = 16

x^2 = 12

x = ± sqrt(12)

x ≈ 3.5

Note: '^' means "to the power of", so '^2' means "squared"

Given the wage is $10/hour, the waiting time cost is $5/hour and the service time cost is $2/hour, the total hourly cost is c) $20.

The hourly cost of the given problem can be calculated by adding up the wage, waiting time cost, and service time cost of an hour

Total hourly cost = Wage + Waiting time cost + Service time cost

$10 + $5 + $2= $17

Therefore, the total hourly cost is $17.The correct option is c) $20.

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the given expression is'

y = 13x - 5

compare this equation with the standard equation

y = mx + c

here m is slope

so m = 13

thus, the slope of the equation is m = 13

The expression log5(Vx^2.5Vy) can be written in terms of u and v as 2v + 2u + log5(y) + 1.

To write the expression log5(Vx^2.5Vy) in terms of u and v, we need to express the given expression using the definitions of u and v.

Given:

u = log5(x)

v = log5(y)

Let's simplify the given expression step by step:

log5(Vx^2.5Vy)

Using the properties of logarithms, we can split the expression into separate logarithms:

= log5(V) + log5(x^2) + log5(5) + log5(Vy)

Now, let's simplify each term using the properties of logarithms and the definitions of u and v:

= log5(V) + 2log5(x) + log5(5) + log5(V) + log5(y)

Using the properties of logarithms, we can simplify further:

= log5(V) + log5(V) + 2u + 1 + log5(y)

Combining like terms:

= 2log5(V) + 2u + log5(y) + 1

Now, let's replace log5(V) with v using the given definition:

= 2v + 2u + log5(y) + 1

Finally, we can rewrite the expression using the variables u and v:

= 2v + 2u + log5(y) + 1

It's important to note that in this process, we utilized the properties of logarithms such as the product rule, power rule, and the definition of logarithms in base 5. By substituting the given expressions for u and v, we were able to express the given expression in terms of u and v.

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The amount you could save per month would be 25% of your discretionary money.

Discretionary income is the money you have left over after paying taxes and necessary cost-of-living expenses.

The formula for discretionary money is: Discretionary money = Realized income - Fixed expenses. Inputting data, we have: Discretionary money = $3,543.22 - Fixed expenses

Amount to be saved = 25% of discretionary money

Amount to be saved = 0.25 * (Realized income - Fixed expenses)

Therefore, the amount savable is calculated as 0.25 times the difference between your realized income and fixed expenses.

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The answer is  True, the percentile rank identifies the percentile of a particular value within a set of data.

The percentile rank is a measure that identifies the percentage of scores in a distribution that are equal to or lower than a given score. It is calculated by dividing the number of scores that are equal to or lower than the given score by the total number of scores in the distribution, and multiplying the result by 100 to obtain a percentage. The percentile rank can be used to compare individual scores to the rest of the distribution, and can provide useful information about the relative standing of a score within a particular group or population. Therefore, it is true that the percentile rank identifies the percentile of a particular value within a set of data.

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The design that resulted in the shortest line is the one that minimized the distance between the start and end points.

This can be achieved by using a straight line design, as it is the shortest distance between two points. In other words, the shortest line design is the one that does not have any curves or detours, and instead goes directly from the start point to the end point. This is because the shortest distance between two points is always a straight line, and any other design would result in a longer line. Therefore, the design that resulted in the shortest line is the one that used a straight line.

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Answer:

The distance between I and T is 1.5

Step-by-step explanation:

Identify each spots value: each spot is worth 0.5

Identify how many spots are in between your points: there are 3

multiply the value and amount: 0.5 × 3 = 1.5

Answer:

\(\displaystyle 1\frac{1}{2}\)

Step-by-step explanation:

Each mark represents \(\displaystyle \frac{1}{2},\)therefore you have this:

\(\displaystyle -3\frac{1}{2} + 5 \Rightarrow -3\frac{1}{2} + 4\frac{2}{2} \\ \\ \boxed{1\frac{1}{2}}\)

I am joyous to assist you at any time.

The height of the sign is option B: The Yield sign is about 31.2 inches tall.

The height of the Yield sign can be further and easily calculated by using the appropriate and most accurate given formula for the height of an equilateral triangle, which is

h = (√(3)/2) * s

where h is the given height and s is the given side of the length. Plugging in the given value of the s is equal to 36 inches, we get:

h = (√(3)/2) * 36

h ≈ 31.2 inches

Therefore, the answer is option B: The Yield sign is about 31.2 inches tall.

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