6. Please show work pamdas

Answer:

Riley did better than Darby because One-half < Three-fifths.

Step-by-step explanation:

The statement that explains which girl did better would be that

Riley did better than Darby because One-half < Three-fifths.

There are a total of 60 minutes in an hour, If we multiply each of these fractions by 60 minutes it would give us the exact number of minutes that each girl took to finish the race.

Riley: \(\frac{1}{2}\) * 60 = 30 minutes

Darby: \(\frac{3}{5}\) * 60 = 36 minutes

Therefore, we can see that it took Riley 6 minutes less than Darby to finish the race meaning that she had the better result.

Answer:

B i took the quiz

Riley did better than Darby because One-half < Three-fifths.

hope it help :)

Step-by-step explanation:

Answer:

\(y = -3x + 14\)

Step-by-step explanation:

Required

The equation of line

perpendicular to : \(x -3y =9\)

Passes through \((3,5)\)

We have:

\(x -3y =9\)

Make y the subject

\(3y =x - 9\)

Solve for y

\(y = \frac{x}{3} - 3\)

Compare the above equation to \(y = mx + c\)

\(m =\frac{1}{3}\) ---- This represents the slope

Since the line is perpendicular to \(x -3y =9\), then its slope is:

\(m_2 = -\frac{1}{m}\)

\(m_2 = -\frac{1}{1/3}\)

\(m_2 =-3\)

The equation of the perpendicular line is:

\(y =m_2(x - x_1) + y_1\)

Where:

\(m_2 =-3\)

\((x_1,y_1) =\) \((3,5)\)

So:

\(y = -3(x - 3) + 5\)

\(y = -3x + 9 + 5\)

\(y = -3x + 14\)

Answer:

\( \sqrt{29} \)

The function s(x) = -2, 3, 8, 13 could be the inverse of function f(x).

The correct option is C.

To determine the inverse of the given function f(x), we need to find a function that, when applied to the output of f(x), returns the input value.

Let's analyze the given function f(x):

x -1 0 1 2

f(x) -2 3 8 13

To find the inverse function, we need to swap the input and output values.

So, the input values of f(x) become the output values of the inverse function, and vice versa.

Let's examine the options:

A. x -2 3 8 13

q(x) -1 0 1 2

B. x -2 -3 -8 -13

r(x) 1 0 -1 -2

C. x 1 0 -1 -2

s(x) -2 3 8 13

D. x -1 0 1 2

p(x) 2 -3 -8 -13

By comparing the input and output values of the inverse functions with the original function f(x), we can see that option C (x and s(x)) matches the inverse function.

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Answer:

4 meters

Step-by-step explanation:

If the stick is 10 m and the rope is 2 times as long, the rope is 20 meters.

20/5 = 4

Each section of the rope is 4 meters.

Helping in the name of Jesus.

To find the length of each piece of rope, divide the total length of the rope by the number of pieces. In this case, each piece is 4 meters long.

To find the length of each piece of rope, we need to divide the total length of the rope by the number of pieces.

Let's start by finding the length of the rope. Since the rope is 2 times as long as the stick, we multiply the length of the stick, which is 10 meters, by 2, giving us 20 meters.

Now, we divide the length of the rope, 20 meters, by the number of pieces, which is 5.  

Therefore, each piece of rope is 4 meters long.

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9514 1404 393

Answer:

Step-by-step explanation:

Dimensions of stacks or arrays represent factors that are multiplied. The number "left over" is added to that product. You are being asked to match the numbers in the numerical expressions with the numbers in the word statement.

a. 11(10) +7 = 117

b. 9(12) +5 = 113

c. 8(12) +7 = 103

d. 6(20) +5 = 125

Answer:

Output= 3 • Input - 2

Step-by-step explanation:

x     |      y

3 • x - 2

--------------

1      |     1

2     |     4

3     |     7

4     |    10

Answer: last option - output=3 · input - 2

Step-by-step explanation:

Based on the information provided, it seems like there is a dataset that contains three values: 30, 39, and 45. The prompt states that each value appears a certain number of times in the dataset.

For example, the value 30 appears "time(s)" in the dataset, although we don't know exactly how many times it appears. Similarly, the value 39 appears a certain number of times, as does the value 45.

Without more information about the dataset, it is difficult to draw any conclusions about the significance or pattern of these values. It is possible that they are part of a larger dataset and represent only a small portion of the data.

Alternatively, they could be outliers or represent a significant trend in the data. Further analysis would be necessary to determine their meaning and significance.

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The sοlutiοn οf the system οf equatiοn is x = 0 and y = 7/3.

If there is nο sοlutiοn tο a system οf equatiοns, it is incοnsistent system; οtherwise, there must be at least οne sοlutiοn. If a set οf equatiοns has infinitely many sοlutiοns, it is dependent.

Every οne οf the equatiοns in a system οf equatiοns must have a sοlutiοn in οrder fοr the system tο be cοnsistent. This demοnstrates that a set οf values fοr the variables may simultaneοusly satisfy all οf the system's equatiοns and shοw that they are nοt mutually exclusive.

There is nο sοlutiοn tο an equatiοn system that satisfies all οf the equatiοns in the system. This indicates that nο cοmbinatiοn οf values fοr the variables can cοncurrently satisfy all οf the system's equatiοns since they are incοmpatible.

The given equatiοns are:

y = 2/3x + 7/3

-4x+6y=14

Substituting the value of y in the second equation:

-4x + 6y = 14

-4x + 6(2/3x + 7/3) = 14

-2x + 4x + 14 = 14

2x = 0

x = 0

Substitute the value of x = 0 we have:

y = 2/3(0) + 7/3

y = 7/3

Hence, the solution of the system of equation is x = 0 and y = 7/3.

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Complete question:

Given system of equations y = 2/3x + 7/3 and -4x + 6y = 14

Find the value of x and y.

Answer:

The price of the piano is $311.69

Answer:

so the labelled angles are 30 and 90, but it only shows one 90. In fact there are 4 angles of 90. The marked 90 then the vertical angle and the complementary angles. All triangles equal 180 so the given 30 and 90 are taken from the 180.

180 -30-90= 60

But y is the opposite of the 30 which makes y=30

so that leaves x = 60

y=30 and x=60

Answer: Square root (52), No

Step-by-step explanation:

Answer:

Step-by-step explanation:

4^2 + 6^2 = x^2

sqrt 52 = x

x= 7.211

No, it is not a pythagorean triple because x is not a whole number.

The radius of the circle would be "5.72958cm"

Showing my answer is correct

Formula: C = 2πr

In this formula we will assume that π is 3.14 and ignore the other numbers

C = 2(3.14)5.72958

C = (6.28)5.73958

C = 35.9817624

^ Which is approximately 36cm if you decide to round it to your nearest one place which makes it a whole number

Answer:

d. divide the population into groups; use simple random sampling to identify a proportionate number of individuals from each group

Step-by-step explanation:

Remember, a cluster represents a selection out of a group belonging to a larger population. Thus, cluster sampling includes the steps;

For example, A bus company wants to survey all its customers for a particular day, using cluster sampling, they will randomly select 10 trips that day and survey some or all the passengers on those trips.

Answer:

B

Step-by-step explanation:

Answer:

1 : 8

Step-by-step explanation:

Answer:

$8 per hour

Step-by-step explanation:

First you have to do 16/2 or 32/4 to get your answer which is 8

Hope this helps!

Answer: 2, 1.5 , -0.75

(b) \(4x-3y-10=0\)

Step-by-step explanation:

Given

line is \(3x+4y-6=0\)

Converting it into intercept form

\(\Rightarrow 3x+4y=6\\\\\Rightarrow \dfrac{3x}{6}+\dfrac{4y}{6}=\dfrac{6}{6}\\\\\Rightarrow \dfrac{x}{2}+\dfrac{y}{1.5}=1\)

So, the x-intercept is \(2\) and y-intercept is \(1.5\)

The slope is given by

\(-\dfrac{\frac{1}{2}}{\frac{1}{1.5}}=-0.75\)

(b) the line perpendicular to the above line and passing through \((1,-2)\)

The slope of the required line

\(m=-\dfrac{1}{-0.75}\\\\m=\dfrac{4}{3}\)

Equation of the line is given by

\(\Rightarrow \dfrac{y-(-2)}{x-1}=\dfrac{4}{3}\\\\\Rightarrow 3y+6=4x-4\\\Rightarrow 4x-3y-10=0\)

Y = mx + b, where m denotes the slope and b the y-intercept, is how the equation of the line is expressed in the slope-intercept form. We can see that the y-intercept of the line in our equation, y = 7 x + 4, is 4.

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ANSWER;

6/ 2(1+2)

= 6/ 2(3)

= 6/ 2X3

= 6/6

= 1

Answer:

6 ÷ 2 [1 + 2]

= 6 ÷ 2 + 4

= 6 ÷ 6

= 1

Answer:

x = 2

Step-by-step explanation:

8 = 6x + -2x

8 = 4x

8 = 4x

4 4

2 = x

Answer: 1,000,000

Step-by-step explanation: USA test prep

Answer:

the third option

Step-by-step explanation:

that is actually the proof for Pythagoras :

both squares have the total area of (a + b)².

each of the triangles (4 in figure 1, 4 in figure 2) has the same area as the others : a×b/2

so, for figure 1

(a + b)² = 4×a×b/2 + c² = 2×a×b + c²

and for figure 2

(a + b)² = 4×a×b/2 + a² + b² = 2×a×b + a² + b²

2×a×b + c² = 2×a×b + a² + b²

c² = a² + b²

For the time period of  the projectile at least 192 feet above the ground is between 2 second and 6 second

Since s=128t-16t2, we want to know the 2 times where 128t-16t2=192, as those two values will be the begin and end times of the interval in question. We can rewrite that equation in standard quadratic equation form:

16t2-128t+192=0 or, simplified, 8t2-64t+96=0

or t2-8t+12=0

since it is now in quadratic form, we can solve using the quadratic formula:

t = 2 and 6

So the time period from approximately 2 second and 6 second has the projectile above 192 feet.

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Answer:

increases

Step-by-step explanation:

The width of the confidence interval decreases as the sample size increases.

When there is the decrease in the standard deviation so the width of the confidential interval should be increased.

Given that,

Based on the above information, the following information should be considered.

Therefore we can conclude that when there is the decrease in the standard deviation so the width of the confidential interval should be increased.

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Answer:

6.8

Step-by-step explanation:

Answer:

6.

Step-by-step explanation:

.

Answer:

\(C)\:8\)

8 units tiles must be added

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Answer:

A centimeter is smaller than an inch, so a given length will have more centimeters than inches. This alone shows you that the NUMBER of cm units will always be greater than the number of inches, for a given measurement.

Answer:

Please check explanations for answer to the question

Step-by-step explanation:

The exponential relation can generally be represented as ;

y = I (1 + x)^n

where I is the initial value

1 + x represents the growth rate

n represents the time such as number of years

y represents the value after n count

a) The value 1200 represents the initial count of bacteria in the study

b) 1.8 represents the growth rate of the bacteria population in the culture

c) 1000 represents the initial bacteria population in the second function

The difference mean that the initial population in the first case study is greater than what we have in the second function

The Venn diagram is: A: #less than 5 = {0, 1, 2, 3, 4} and B: Natural Number = {1, 2, 3, 4, 5, 6, 7}

The probabilities are P(Less than 5) = 5/8 and P(Natural Number) = 7/8

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

Spinner = 0 to 7

So, the sample space is

S = {0, 1, 2, 3, 4, 5, 6, 7}

When represented on a Venn diagram, we have

A: #less than 5 = {0, 1, 2, 3, 4} i.e. 5 entries

B: Natural Number = {1, 2, 3, 4, 5, 6, 7} i.e. 7 entries

Using the above as a guide, we have the following:

P(Less than 5) = 5/8

P(Natural Number) = 7/8

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Answer:

one solution

Step-by-step explanation:

Step: Solvex+y=7for x:

x+y+−y=7+−y(Add -y to both sides)

x=−y+7

Step: Substitute−y+7forxin2x−3y=−21:

2x−3y=−21

2(−y+7)−3y=−21

−5y+14=−21(Simplify both sides of the equation)

−5y+14+−14=−21+−14(Add -14 to both sides)

−5y=−35

−5y

−5

=

−35

−5

(Divide both sides by -5)

y=7

Step: Substitute 7 for y in x=−y+7:

x=−y+7

x=−7+7

x=0(Simplify both sides of the equation)

y = 7, x = 0