17
20%
√.5
| -0.5|
Which list shows the values in order from least to greatest?

The value of x when the line segment st is dilated to create line s't' about point q is 2.5 units

The given parameters are:

qs = 2

qt = 1.2

tt' = 1.5

ss' = x

To calculate the value of x, we make use of the following equivalent ratio

ss' : qs = tt' : qt

So, we have:

x : 2 = 1.5 : 1.2

Express as fractions

x/2 = 1.5/1.2

Multiply both sides by 2

x = 2 * 1.5/1.2

Evaluate the product

x = 2.5

Hence, the value of x is 2.5 units

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Answer:

2.5

Step-by-step explanation:

Based on the information, the number of pencils that the student purchased will be 12 pencils.

Based on the information given, the equation to solve the question will be:

s + p = 16 ....... i

3.50s + 1.25p = 29 ........ ii

From equation i, s = 16 - p.

3.50s + 1.25p = 29

3.50(16 - p) + 1.25p = 29

56 - 3.50p + 1.25p = 29

2.25p = 27

p = 27/2.25 = 12

In conclusion, 12 pencils were bought.

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The smallest value within the class is the lower class limit, and the largest value within the class is the upper class limit.

A class limit is a set of boundary values in the form of a range that describes the lowest and highest data values that a class can contain. The lower class limit refers to the smallest data value in a class, whereas the upper class limit refers to the largest data value in a class. The width of a class is determined by the difference between the upper and lower class limits. Here are a few examples to give you a better understanding of how this works:

Class:              5-9 5 9

Lower Limit:    10-14 10 14

Upper Limit:    15-19 15 19

This shows class limits for three different classes.

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Answer:

Refer to attachment .

Step-by-step explanation:

We need to plot the graph of ,

\(:\implies\) y = 35x + 2

Plot different values of x :-

\(:\implies\) y = 35*1 + 2

\(:\implies\) y = 35 + 2

\(:\implies\) y = 37

\(\rule{200}2\)

\(:\implies\) y = 35*2 + 2

\(:\implies\) y = 70 + 2

\(:\implies\) y = 72

Hence now plot the points (1,37) and (2,72) .

A node or event with a duration of 0 days is a b. milestone

A milestone refers to an important event in a project that has a duration of zero days. It signifies the completion of a significant phase or task within the project. Milestones are numbers placed on roads, such as roads, railroads, canals, or borders. They can show distances to cities, towns, and other places or regions; or they can set their work on track with respect to a reference point.

They are found on the road, often by the roadside or in a warehouse area. They are also called mile markers (sometimes abbreviated MM), milestones, or mileposts (sometimes abbreviated MP). "mile point" is the term used for the medical field where distance is usually measured in kilometers rather than miles. "Distance marking" is a general term that has nothing to do with units.

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Answer:

x = 2 sqrt(7)

Step-by-step explanation:

since the right triangles are similar

hyp       leg

------ = ---------

leg      part

(6+8)        x

--------- = ----------

x                 2

Using cross products

x^2 = (6+8) *2

x^2 = 28

Take the square root of each side

x = sqrt(28)

x = sqrt(4) sqrt(7)

x = 2 sqrt(7)

Answer:

x= 69420

Step-by-step explanation:

bc it can be

Answer:

80 m

Step-by-step explanation:

La velocidad inicial de la pelota es 0 m/s.

La altura del árbol es s.

El tiempo necesario es de 4 segundos.

Podemos aplicar una de las ecuaciones de movimiento de Newton:

\(s = ut + \frac{1}{2}gt^2\)

donde u = velocidad inicial

t = tiempo empleado

g = aceleración debido a la gravedad

Por lo tanto:

\(s = 0 * 4 + (1/2 * 10 * 4^2)\\\\s = 0 + 80 \\\\s = 80 m\)

El árbol tiene 80 metros de altura.

Answer:

f = - 3

Step-by-step explanation:

Given

- 9(- 2f - 8) = - 6f ← distribute left side

18f + 72 = - 6f ( add 6f to both sides )

24f + 72 = 0 ( subtract 72 from both sides )

24f = - 72 ( divide both sides by 24 )

f = - 3

Step-by-step explanation:

a

2/3 of 14 kg.

that means multiplying 2/3 × 14 = 28/3.

now we only need to do the division with remainder.

how often does 3 fit into 28 ? 9 times (9×3 = 27).

and then there is 1 left. and that means 1/3, since we are dividing by 3.

so, 2/3 of 14 kg = 9 1/3 kg

b

3/5 × 18

simply multiplication

54/5

and again division with remainder.

how often does 5 fit into 54 ? 10 times (10×5 = 50).

and there are 4 left. for a divisible by 5 that means 4/5.

so, 3/5 × 18 = 10 4/5

c

7/8 × 22

simply multiplication

154/8

again division with remainder.

how often does 8 fit into 154 ? 19 times (19×8 = 152).

and there are 2 left. so, 2/8 or 1/4.

so, 7/8 × 22 = 19 1/4

d

14 + 4/5

how many 1/5 are in 1 ? 5 !!! that defines the size of 1/5, because it is 1/5 of the whole, and the whole is 5/5 or 5×1/5.

so, if 1 has 5 times 1/5, how many 1/5 are in 14 ? well, 14×5 = 70

so, 14 = 70/5

and therefore,

14 + 4/5 = 70/5 + 4/5 = 74/5 = 14 4/5

surprise, surprise !

when we write something like 14 4/5, it has exactly the meaning 14 + 4/5.

but if the symbol was "÷" instead of "+" (it is really not to see in that picture) :

14 ÷ 4/5

remember, a division by a fraction is the same as the multiplication with the upside-down fraction :

14 × 5/4 = 70/4

how often does 4 fit into 70 ? 17 times (17×4 = 68).

and there are 2 left. that means 2/4 or 1/2.

14 ÷ 4/5 = 17 1/2

e

as for d.

if the operation is "+" then the result is for the same reasons 24 12/19.

if the operation is "÷" then we have

24 ÷ 12/19 = 24 × 19/12 = 2 × 19 = 38

The term "congruent" refers to having exactly the same shape and size. Even if we flip, turn, or rotate the shapes, the shape and size should remain the same.

SSS (Side-Side-Side) (Side-Side-Side) SAS (Side-Angle-Side) (Side-Angle-Side) ASA (Angle-Side-Angle) (Angle-Side-Angle) AAS (Angle-Angle-Side) (Angle-Angle-Side) RHS (Right angle-Hypotenuse-Side) (Right angle-Hypotenuse-Side)

The first two postulates, Side-Angle-Side (SAS) and Side-Side-Side (SSS), emphasise the side aspects, whereas the following lesson discusses two additional postulates that emphasise the angles. The Angle-Side-Angle (ASA) and Angle-Angle-Side (AAS) postulates are what they are.

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When a fraud examiner performs tests to confirm that no instances of fraud are present in a sample taken from a population, they can conclude that the population is free from fraud. However, it is essential to note that the absence of evidence of fraud does not guarantee the absence of fraud.

The fraud examiner should follow up with a review of the controls in place to ensure that the controls are operating efficiently to deter fraud or detect it in a timely manner. In conclusion, when the fraud examiner's tests confirm that no instances of fraud are present in a sample taken from a population, it is an indication that the population is free from fraud.

But it is important to note that this is only a confirmation that fraud was not identified during the examination of the sample. The fraud examiner should also review the control mechanisms in place to ensure that they are working effectively. Let the areas of the three rugs be a, b, and c. Then according to the given information, a + b + c = 2200Also, area of overlap of the rugs (covered by exactly two layers of rug) = 24m²Hence, (a + b + c) – 2(area covered by two layers of rug) = area covered by three layers of rug (2200 – 2 × 24)m² = 2152m².

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The diagonal through the interior of the cube is side CF. Option B

To determine the diagonal of the cube:

We need to know the properties of a cube. These properties are;

From the diagram shown, we have that;

Diagonal through interior of the given cube will be the segments joining the vertices A-H, G-B, C-F and D-E.

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The complete question is:

Which is a diagonal through the interior of the cube

A. Line BE

B. Line CF

C. Line DG

D. Line GF

Answer: 4

Step-by-step explanation: in average, they drink 12/3 = 4 milk jugs per day.  

Answer:

\(\approx 68\%\)

Step-by-step explanation:

For normal distributions only, all data falls within approximately 68% of one standard deviation, 95% of two standard deviations, and close to 100% of three standard deviations. The standard deviation is far too small to represent two or three standard deviations, hence \(\implies \boxed{68\%}\).

*Important: This problem would be unsolvable if the question did not say her cuts were normally distributed, because the information above is only applicable to normal distributions.

Answer:

Step-by-step explanation:

Given:

The squares between 4.9 and 5.1 represent:

Relevant z- scores are:

From the z-score table we get:

The data between these points is:

Answer:

18

Step-by-step explanation:

You take 30% of 60 to find the number of brown beads.

Answer:

as in the number line negative digits occur on the left side if we subtract -2 from -8 we will get our answer that is -6

Step-by-step explanation:

-8-(-2)

-8+2

-6

(5,25)

is when x=5 and y=25

0.01 = 1/100

Recall that 100 = 10²; then

√0.01 = √(1/10²) = 1/√(10²) = 1/10 = 0.1

Answer:

Step-by-step explanation: 0.1

0.1 * 0.1 = 0.01

To calculate the cash balance at the end of the period, we need to consider the cash inflows and outflows.

Starting cash balance: $4,520

Cash inflows: $1,654 (receivables collected)

Cash outflows: $1,961 (payments to suppliers) + $500 (cash expenses)

Total cash inflows: $1,654

Total cash outflows: $1,961 + $500 = $2,461

To calculate the cash balance at the end of the period, we subtract the total cash outflows from the starting cash balance and add the total cash inflows:

Cash balance at the end of the period = Starting cash balance + Total cash inflows - Total cash outflows

Cash balance at the end of the period = $4,520 + $1,654 - $2,461

Cash balance at the end of the period = $4,520 - $807

Cash balance at the end of the period = $3,713

Therefore, the cash balance at the end of the period is $3,713.

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Applying the linear angles theorem, the measures of the larger angles are: 130 degrees.

The measures of the smaller angles are 50 degrees

Based on the linear angles theorem, we have the following equation which we will use to find the value of y:

3y + 11 + 10y = 180

Add like terms

13y + 11 = 180

Subtract 11 from both sides

13y + 11 - 11 = 180 - 11

13y = 169

13y/13 = 169/13

y = 13

Plug in the value of y

3y + 11 = 3(13) + 11 = 50 degrees

10y = 10(13) = 130 degrees.

Therefore, applying the linear angles theorem, the measures of the larger angles are: 130 degrees.

The measures of the smaller angles are 50 degrees.

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On solving the provided question, we can say that  it has 0% prοbability, making the answer zerο (0).

Probability theοry, a subfield of mathematics, gauges the likelihοod of an occurrence or a claim being true. An event's prοbability is a number between 0 and 1, where apprοximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A prοbability is a numerical representation of the likelihood or likelihoοd that a particular event will occur.

In a deck of cards we have 4 kings. οne in each suit.

Tοtal number of cards in a pack 52.

There is οnly 4 king in a deck of cards, 10 kings are nοt possible.

This is impοssible event. Hence it has a probability zero(0).

The prοbability is 0.

Cοnsequently, it has 0% prοbability, making the answer zero (0).

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Complete question:

Answer:

square root of 34

Step-by-step explanation:

ok so S is for Squared

Cs= As+Bs

5s+3s= Cs

25+9=34

Cs=34

C= square root of 34

to get C we need to square root Cs

square root of 34

so C is 5.83

Answer:

256

Step-by-step explanation:

I) Solve exponents first:

2^2 x 8^2

= 4 x 64

II) Multiply:

4 x 64

= 256

The function f(x) = (x + 3x^5)^4 is continuous at a = -1, with f(-1) = 256. The average value of f(x) = 6x - x^2 on [0, 4] is f(ave) = 20/3. The area of the shaded region between y = 9x - x^2 and y = 2x, above y = 2x, is 343/6.

To show that the function f(x) = (x + 3x^5)^4 is continuous at a = -1, we need to evaluate the limit of f(x) as x approaches -1 and show that it equals f(-1).

Using the properties of limits, we can simplify the expression:

lim f(x) as x approaches -1 (x + 3x^5)^4

= [lim (x + 3x^5)]^4 as x approaches -1

= [(-1 + 3(-1)^5)]^4

= [-1 + 3(-1)]^4

= [-1 - 3]^4

= (-4)^4

= 256

To determine the value of f(-1), we substitute -1 into the function:

f(-1) = (-1 + 3(-1)^5)^4

= (-1 + 3(-1))^4

= (-1 - 3)^4

= (-4)^4

= 256

Since lim f(x) as x approaches -1 (x + 3x^5)^4 equals f(-1) = 256, the function is continuous at a = -1.

To find the average value f(ave) of the function f(x) = 6x - x^2 on the interval [0, 4], we use the formula:

f(ave) = (1/(b - a)) * ∫[a to b] f(x) dx

Plugging in the values, we have:

f(ave) = (1/(4 - 0)) * ∫[0 to 4] (6x - x^2) dx

= (1/4) * [3x^2 - (x^3/3)] evaluated from 0 to 4

= (1/4) * [(3(4)^2 - (4^3/3)) - (3(0)^2 - (0^3/3))]

= (1/4) * [(48 - (64/3)) - (0 - 0)]

= (1/4) * [(48 - 64/3)]

= (1/4) * [(144/3 - 64/3)]

= (1/4) * [(80/3)]

= 20/3

Therefore, the average value of the function f(x) on the interval [0, 4] is f(ave) = 20/3.

To find the area of the shaded region between the curves y = 9x - x^2 and y = 2x, we need to find the points of intersection and then calculate the definite integral of the difference between the two functions over the interval.

Setting the two functions equal to each other, we have:

9x - x^2 = 2x

Simplifying, we get:

x^2 - 7x = 0

Factoring, we find:

x(x - 7) = 0

This equation gives us two solutions: x = 0 and x = 7.

To find the area between the curves, we integrate the difference between them over the interval [0, 7]:

Area = ∫[0 to 7] (9x - x^2) - (2x) dx

= ∫[0 to 7] (7x - x^2) dx

= [(7x^2/2) - (x^3/3)] evaluated from 0 to 7

= [(7(7)^2/2) - (7^3/3)] - [(7(0)^2/2) - (0^3/3)]

= [(7(49)/2) - (343/3)]

= (343/2) - (343/3)

= (1029/6) - (686/6)

= 343/6

Therefore, the area of the shaded region above the y = 2x line and below the curve y = 9x - x^2 is 343/6.

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The equation you'll use is d = C / 6. To determine the amount you need to save per week to buy an iguana in 6 weeks, you will first need to know the cost of the iguana.

Let's assume the cost of the iguana is represented by the variable C. To find the amount of dollars (d) you need to save per week, you can create an equation using the given time frame of 6 weeks. In this equation, d represents the amount of dollars you need to save per week, C is the cost of the iguana, and 6 is the number of weeks in which you want to buy the iguana. By dividing the total cost of the iguana by the number of weeks, you can calculate the amount you need to save per week to reach your goal. Once you have the specific cost of the iguana (C), simply substitute it into the equation and solve for d to find out how much you should save each week.

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Answer:

Step-by-step explanation:

how the heck are we supposed to know this?????

Answer:

You use multiplyers

In a large population, 64 % of the people have been vaccinated. If 5 people are randomly selected, then the probability that AT LEAST ONE of them has been vaccinated is 99.78% or 0.9978.

The probability that at least one person is vaccinated among a sample of five people selected randomly from a population in which 64% have been vaccinated is the complement of the probability that none of the five selected have been vaccinated. The probability of at least one vaccinated person is:

Probability of at least one vaccinated person = 1 - Probability that none of the selected have been vaccinated.

To find this probability, you first need to find the probability that none of the five selected have been vaccinated.

Probability of selecting one person who is not vaccinated = 1 - 0.64 = 0.36

Probability of selecting five persons who are not vaccinated = 0.36 × 0.36 × 0.36 × 0.36 × 0.36= 0.0022

So, the probability of at least one vaccinated person in the sample of five is:

Probability of at least one vaccinated person = 1 - Probability that none of the selected have been vaccinated

                                                                           = 1 - 0.0022

                                                                           = 0.9978

Therefore, the probability that at least one person is vaccinated among a sample of five people selected randomly from a population in which 64% have been vaccinated is 0.9978.

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The optimal solution is to cut the wire into two pieces, one forming a square with side length x = 2/π feet, and the other forming a circle with radius r = (1 - 4/π)/π feet.

A two-dimensional figure's area is the amount of space it takes up. In other terms, it is the amount that counts the number of unit squares that span a closed figure's surface.

Let's first start by noting the formulas for the area of a circle and the area of a square in terms of their radius/length:

Area of circle = πr²

Area of square = x²

We also know that the total length of the wire is 2 feet, so the sum of the circumference of the circle and the perimeter of the square must equal 2:

Circumference of circle = 2πr

Perimeter of square = 4x

2πr + 4x = 2

Simplifying this equation, we get:

πr + 2x = 1

We want to maximize the sum of the areas of the circle and square, which is given by:

πr² + x²

We can use the equation we just derived to eliminate r from this expression:

π(1 - 2x)²/4 + x²

Expanding and simplifying this expression, we get:

(π/4)x² - πx + π/4

To find the value of x that maximizes this expression, we need to take the derivative with respect to x and set it equal to zero:

d/dx [(π/4)x² - πx + π/4] = (π/2)x - π = 0

Solving for x, we get:

x = 2/π

Now we can use the equation we derived earlier to find the corresponding value of r:

πr + 2x = 1

πr + 4/π = 1

πr = 1 - 4/π

r = (1 - 4/π)/π

So, the optimal solution is to cut the wire into two pieces, one forming a square with side length x = 2/π feet, and the other forming a circle with radius r = (1 - 4/π)/π feet.

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