please answer all 3 questions

Answer:

for 1 round it is 220m

ii) 440m

iii) 660m

just multiply number of rounds with the perimeter

Step-by-step explanation:

Answer:

James is Wrong. They are different expressions.

Step-by-step explanation:

I Disagree with James,  - Here's Why...

3/4 means, we are diving 3 into 4 parts which is 0.75

Or 3/4 is written 3 Divided(Divide sign) by 4

But 4 / 3 means we are dividing 4 into 3 parts, Which is approximately 1.333...

So 3 / 4 \(\neq\) 4 / 3

Which is 0.75 \(\neq\) 1.333...

Answer:

Step-by-step explanation:

6x² - 10x + 21x - 35 = 6x² + 11x - 35

6x² - 6x² + 11x - 11x - 35 + 35 = 0

0 = 0

The equation is an identity. Its solution set is {all real numbers}.

Answer:

The correct option is A

Step-by-step explanation:

From the question we are told that

   The average  number of meetings  hours per week is \(\mu= 18 \ hours\)

    The standard deviation is  \(\sigma = 5.2 \ hours\)

     The sample size is  n=  35

     The sample average per week is  \(p = 16.8 \ hours\)

From each solution statement we can deduce that the confidence level is  

    \(t = 95\)%

Thus the significance level is  \(\alpha = 0.05\)= 5%

The z value for the significance level is gotten as 1.96 from the z-table

    The confidence level interval for the sample mean is mathematically evaluated as

            \(\= x = \mu \pm (1.96 * \frac{\sigma }{\sqrt{n} } )\)

 Sustituting values

           \(\= x = 18 \pm (1.96 * \frac{5.2 }{\sqrt{35} } )\)

             \(\= x = 18 \pm1.7\)

=>               \(18 - 1.7 < \= x < 18 +1.7\)

                  \(16.3 < \= x < 19.7\)

Answer:

I'm assuming that the answer is -10

Step-by-step explanation:

Because you are being asked to subtract a negative, the two negative signs cancel each other out to make the equation -35+25. So the answer is -10.

Answer:

-1/5 im right hope all of you have a wonderful day

Step-by-step explanation:

Answer:

No. A mixed number is usually positive and greater than one, so two numbers that would be greater than one could not add up to anything less than three.

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

1\(\frac{1}{5}\)+ 1\(\frac{1}{5}\) = 2\(\frac{2}{5}\)

Answer:

y - 3x = 10

Step-by-step explanation:

The equation of a line in slope-intercept form is expressed as;

y - y0 = m(x-x0) where;

m is the slope of the unknown line

(x0, y0) is any point on the line.

First is to get the slope.

Given CD is formed by C(-5, 9) and D(7,5)

m  = y2-y1/x2-x1

m = 5-9/7+5

m = -4/12

m = -1/3

Since the line t is perpendicular to CD, the product of their slope will be -1.

mM = -1

M = -1/(-1/3)

M = 3

Substituting M = 3 and the midpoint of (7, 5) and (-5, 9 )into the formula above to get the equation of the line.

Midpoint of the line = (x1+x2/2, y1+y2/2)

M = (-7+5/2, 5+9/2)

M = (-2/2, 14/2)

M = (-1, 7)

Hence x0 = -1 and y0 = 7

Since y - y0 = m(x-x0

Equation becomes;

y-7 = 3(x+1)

y-7 = 3x+3

y-3x = 3+7

y - 3x = 10

Hence  a  linear equation for t in slope-intercept form is y-3x = 10

The Equation of perpendicular bisector t = \(y = 3x +4\)

Given Line CD is formed by points  C(-5, 9) and D(7,5) hence it passes through these two points

Let the slope of this line is m

The Slope of line passing through C and D points is given by \(m\)

So

\(m = (y_2-y_1) /(x_2-x_1)\).....(1)

\(m = (5-9)/(7-(-5)) = -1/3.......(2)\)

Given that \(t\) is perpendicular bisector of CD

Let the slope of t  = \(m_t\)

The product of  slopes of two perpendicular lines is -1

hence

\(m \times m_t = -1........(3)\)

so we can from equation number (2) and (3) we can write

\(m_t\) = 3

Also t is the perpendicular bisector and hence it passes through the mid point of line CD hence the mid point of CD

\(Midpoint \; of\; line \; joining\; two\; points = ((x_1+ x_2)/2, (y_1+y_2)/2) .......(4)\)

From equation 4 we can write that

Mid point of CD =

\(((-5 +7)/2, ( 9 +5)/2 ) = (1,7)\\\)

The equation of perpendicular bisector t  is given by equation (5)

\(y = 3x+c .........(5)\)

also equation (5) is satisfied by the point (1,7)

hence we can write

\(7 = 3\times (1) +c \\ c = 4\)

So  the Equation of perpendicular bisector t = \(y = 3x +4\)

For more information refer to the link given below

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apply absolute value formula(thats what i call it)

|5-6i|=

\(\sqrt{5^2+\left(-6\right)^2}\)=

\(\sqrt{61}\)

Answer:

3/5 watched the evening news

2/5 did NOT watch the news

Step-by-step explanation:

reduce 6/10 = 3/5

1 - 6/10 = 4/10 = 2/5

Answer:

A: 9 more weeks B: 4 more weeks

Step-by-step explanation:

Answer:

A. 9 B. 3

Step-by-step explanation:

For part A, you will have to take 155.75 and subtract 30. Then, divide your new number by 15 to get an answer which will need to be rounded up to 9. Part B:

Take 203.89 and subtract 30. Then, divide your new number by 15 to get your answer of 11.5926666667. Subtract 9 from 11.5926666667 to get a number which rounds down to 3.

The ratio of the volumes of the two similar solids that have a scale factor of 5:3 is: 125:27.

If two solids that are similar to each other, have volumes A and B respectively, and have a scale factor of a:b, thus, the ratio of their volumes would be expressed as:

Volume of solid A/Volume of solid B = a³/b³

or

Volume of solid A : Volume of solid B = a³ : b³

Thus, the given similar solids have a scale factor of 5:3, therefore, the ratio of their volumes would be expressed as shown below:

5³ : 3³

125 : 27

Thus, the ratio of the volumes of the two similar solids that have a scale factor of 5:3 is: 125:27.

Learn more about the volume of similar solids on:

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Answer:

The answer is 710.

Step-by-step explanation:

Check the picture below.

Answer:

the 3rd one or the first one you chooses between them to

Step-by-step explanation:

Given:

The dimensions of the painting are 48 inches wide and 120 inches tall.

The dimensions of the paper are 12 inches wide and 24 inches tall.

To check: Its scale is 1 in = 4 in or not

Explanation:

We know that,

The scale value of the length is,

The scale value of the height is,

Since the ratio does not match the height ratio.

So, the scale of 1 in = 4 in is not a reasonable scale.

Final answer:

No, the scale of 1 in = 4 in is not a reasonable scale.

Answer:

A. 60, B. 120.

The canoe's actual speed is approximately 9.66 mph at a bearing of 12° south of east.

To determine the canoe's actual speed and direction, we need to consider the vector addition of the canoe's velocity and the current.

Let's start by drawing a diagram to visualize the problem.

We'll use a scale where 1 cm represents 10 mph.

Draw a line segment representing the canoe's velocity of 10 mph at a bearing of 25° south of east.

From the endpoint of the canoe's velocity vector, draw another line segment representing the current's velocity of 2 mph at a bearing of 80° west of south.

Connect the starting point of the canoe's velocity vector with the endpoint of the current's velocity vector to form a triangle.

Next, we can find the resultant velocity (actual speed and direction) of the canoe by calculating the vector sum of the canoe's velocity and the current's velocity.

Using the law of cosines, we can find the magnitude of the resultant velocity:

c² = a² + b² - 2ab \(\times\) cos(C)

Where:

a = 10 mph (canoe's velocity)

b = 2 mph (current's velocity)

C = 80° (angle between the velocities)

Substituting the values:

c² = 10² + 2² - 2 \(\times\) 10 \(\times\) 2 \(\times\) cos(80°)

c² = 100 + 4 - 40 \(\times\) cos(80°)

Solving for c, the magnitude of the resultant velocity:

c ≈ √(100 + 4 - 40 \(\times\) cos(80°))

c ≈ √(104 - 40 \(\times\) cos(80°))

To find the direction, we can use the law of sines:

sin(A) / a = sin(C) / c

Where:

A = 25° (angle of the canoe's velocity)

a = 10 mph (magnitude of the canoe's velocity)

C = 80° (angle between the velocities)

c ≈ √(104 - 40 \(\times\) cos(80°)) (magnitude of the resultant velocity)

Substituting the values:

sin(25°) / 10 = sin(80°) / √(104 - 40 \(\times\) cos(80°))

Solving for sin(80°):

sin(80°) ≈ (sin(25°) \(\times\) √(104 - 40 \(\times\) cos(80°))) / 10

Finally, we can use the inverse sine function to find the direction:

Direction ≈ arcsin((sin(25°) \(\times\)√(104 - 40 \(\times\) cos(80°))) / 10)

Calculating the numerical values using a calculator will give us the actual speed and direction of the canoe.

For similar question on actual speed.

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Answer:

You didn't pull up a link but the exact definition from the dictionary is, "a round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center)."

Answer:

The length of the shortest side of the pentagon would be:

40.2

1.

We are told that the coordinates of the image are of the formula:

P'(x-2 , y-3) where x and y are the actual points and x-2 and y-3 are the reflections

Finding the coordinates of point A:

We are given that the coordinates of reflection of A are: A'(-4 , 3)

we also know that reflected point follow the formula: P'(x-2 , y-3)

So, the points of A'(-4 , 3) follow the formula P'(x-2 , y-3)

So, their respective x and y coordinates will be equal

Hence,

x - 2 = -4

x  = -2                 [adding 2 on both sides]

Also,

y - 3 = 3

y  = 6                 [adding 3 on both sides]

Therefore, the coordinates of A are A(-2,6)

Finding the coordinates of B:

We are given the coordinates of B' are B'(-4 , 2)

So,

x - 2 = -4

x = -2             [adding 2 on both sides]

also,

y-3 = 2

y = 5             [adding 5 on both sides]

Therefore, the coordinates of B are: B(-2,5)

Finding the coordinates of C:

We are given that the coordinates of reflection of C are: C'(-2,3)

Using the general formula given in the question:

x - 2 = -2  

x = 0            [adding 2 on both sides]

y - 3 = 3

y = 6            [adding 3 on both sides]

Therefore, the coordinates of C are: C(0,6)

Finally, the coordinates of A, B and C are:

A(-2,6)   ,    B(-2,5)   ,    C(0,6)

__________________________________________________________

2.

Reflecting the pre-image along the x-axis

To reflect along x-axis, we multiply the y-coordinate by -1

Coordinates of the pre-image:

A(-2,6)   ,    B(-2,5)   ,    C(0,6)

Coordinates of points reflected along the x-axis:

A(-2,-6)   ,    B(-2,-5)   ,    C(0,-6)

Answer:

The answer is 45.9 L

Step-by-step explanation:

1. Multiply

25.5L x 1.8L

2. Solve

25.5 x 1.8= 45.9L

Recall the z score formula:

In this case:

Therefore:

Calculate the z score for x = 9:

Similarly, the z score of 14 is:

The required diagram is shown.

And the required probability:

P(9 ≤ x ≤ 14) = P(-0.3421 ≤ z ≤ 0.9737) =

Therefore, the correct answer is:

0.4688.

The half-life of the radioactive substance is approximately 59.1 hours.

Let's denote the amount of the radioactive substance present at time t by M(t). We know that at time t=0, M(0) = 100 mg.

After 6 hours, the mass decreased by 5%, which means that 95% of the initial mass remains. Therefore, we have:

M(6) = 0.95 x M(0) = 0.95 x 100 mg = 95 mg

We also know that the rate of decay is proportional to the amount of the substance present at time t. This means we can write a differential equation for M(t):

dM/dt = kM

where k is the proportionality constant. The solution to this differential equation is:

M(t) = M(0) e^kt

To find the half-life of the substance, we need to find the value of t for which M(t) = M(0)/2. Substituting this into the equation above, we get:

M(0)/2 = M(0) e^kt

Simplifying and solving for k, we get:

k = ln(1/2) / t1/2

where t1/2 is the half-life of the substance.

Substituting the values we know, we get:

95 = 100 e^6k

Solving for k, we get:

k = ln(95/100) / 6 = -0.0117

Substituting this value of k into the equation for k above, we get:

t1/2 = ln(1/2) / (-0.0117) ≈ 59.1 hours

Therefore, the half-life of the radioactive substance is approximately 59.1 hours.

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Answer:

A)

\(\left \{ {{80} \atop {20}} \} * \left \{ {{60} \atop {20}} \} * \left \{ {{40} \atop {20}} \} * \left \{ {{20} \atop {20}} \}\)

B)

\(\left \{ {{20+4-1} \atop {4-1}} \} = \left \{ {{23} \atop {3}} \}\)

C)

= \(\left \{ {{17+4+1} \atop {4-1}} \} = \left \{ {{20} \atop {3}} \}\)

D)

= \(\left \{ {{20} \atop {3}} \} - \left \{ {{17} \atop {3}} \}\)

Step-by-step explanation:

A) How many ways can you put all Jellybeans in a row

Total number of Jellybeans = 80

The first jellybeans = 20 yellow , second is 20 orange jellybeans , third is 20 red jellybeans , fourth is 20 green jellybeans

Therefore the number of ways the Jellybeans can be put in a row is :

\(\left \{ {{80} \atop {20}} \} * \left \{ {{60} \atop {20}} \} * \left \{ {{40} \atop {20}} \} * \left \{ {{20} \atop {20}} \}\)

B) How many ways are there to select a handful of 20 jellybeans

lets assume:

yellow jellybeans = a , orange jellybeans = b , red jellybeans = c , green jellybeans = d

a + b + c + d = 20

This is the number Non-negative integer solutions

= \(\left \{ {{20+4-1} \atop {4-1}} \} = \left \{ {{23} \atop {3}} \}\)

C) This is also the number of Non-negative integer solutions but in this case the value of C ≥ 3

hence the number of ways to select a handful of 20 jellybeans that contains at least 3 red

= \(\left \{ {{17+4+1} \atop {4-1}} \} = \left \{ {{20} \atop {3}} \}\)

D) In this case the value of C ≥ 3 and B ≤ 2

Hence the number of ways to select a handful of 20 jellybeans that contains at least 3 red and at most 2 orange

= \(\left \{ {{20} \atop {3}} \} - \left \{ {{17} \atop {3}} \}\)

Answer: The shape cannot be determined since we don’t know the shape of either population distribution.

Step-by-step explanation:

Answer: 5r+63

Step-by-step explanation: Combine Like Terms:

=10+71+−18+5r

=(5r)+(10+71+−18)

=5r+63

Answer:

x--1>0

Step-by-step explanation:

Answer:

Factorise 18a²y - 27ay

=9ay(2a-3)

Step-by-step explanation:

9ay(2a-3)

hope it is helpful to you

Answer:

-6

Step-by-step explanation:

27-3/2x=36

53-3x=72

3x=-18

x=-6