3 with the power of 5 equals 243 explain how to use that fat quickly evaluate 3 to the power of 6 ​

The radius of each circle is

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

Circles with the centers O, Q and R

When these centers are connected, the connection forms a triangle

The triangle OQR

Also from the question, we have the following lengths

OQ = 17 cm

QR = 23 cm

RO = 20 cm

Represent the radii of the circles as follows

circle O = x

circle R = y

circle Q = z

So, we have the following equations

x + z = 17

y + z = 23

x + y = 20

Subtract x + z = 17 and y + z = 23

So, we have

x - y = -6

Make x the subject

x = y - 6

Substitute x = y - 6 in x + y = 20

y - 6 + y = 20

Evaluate the like terms

2y = 26

So, we have

y = 13

Recall that x = y - 6

So, we have

x = 13 - 6

x = 7

Also, we have

x + z = 17

This  gives

7 + z = 17

So, we have

z  = 10

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Answer:

The probability that all five lines will be in use when a customer calls customer service is 1/7776.

What is probability?

The proportion of favorable cases to all possible situations that can occur indicates how likely an event is to occur.

Step-by-step explanation:

Given that there are 5 lines and the probability for each line to be engaged in working hours is 1/6.

So, for all 5 lines to be engaged is

= 1/6 * 1/6 * 1/6 * 1/6 * 1/6

= \(\frac{1}{6} ^{5}\)

= \(\frac{1}{7776}\)

Therefore, the probability that all five lines are engaged is 1/7776.

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Answer:

question of number 10 is 3

The mean of the test is 20.

To determine the mean of the test, we need to use the information provided about the scores falling above the mean in terms of standard deviations.

Let's denote the mean of the test as μ, and the standard deviation as σ.

We are given that a score of 29 falls three standard deviations above the mean, so we can write this as:

29 = μ + 3σ

Similarly, we are told that a score of 23 falls one standard deviation above the mean, which can be expressed as:

23 = μ + σ

Now we have a system of two equations with two variables (μ and σ). We can solve this system of equations to find the values of μ and σ.

From the second equation, we can isolate μ:

μ = 23 - σ

Substituting this value into the first equation, we have:

29 = (23 - σ) + 3σ

Simplifying the equation, we get:

29 = 23 + 2σ

2σ = 29 - 23

2σ = 6

σ = 3

Substituting the value of σ back into the second equation, we find:

μ = 23 - 3

μ = 20

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Answer:

See below.

Step-by-step explanation:

"Rectangles and squares also always have congruent diagonals, but an isosceles trapezoid is the most general term for all the possibilities, since rectangles and squares are isosceles trapezoids in addition to having their own unique properties."

-hope it helps

In every 10 minutes an average of 3 customers will arrive to the pizza station

Given,

The number of customers arriving to the pizza station follows a poisson distribution with a rate of 18 customers per hour.

We have to find the average number of customers arrives in each 10 minutes.

Here,

The chance that X represents the number of successes of a random variable in a Poisson distribution is provided by the following formula:

P (X = x) = (e^-μ × μ^x) / x!

Where,

The number of successes is x.

The Euler number is e = 2.71828.

μ is the average over the specified range.

Now,

Rate of 18 customers per hour;

μ = 18 n

n is the number of hours.

Number of customers arrive in each 10 minutes

10 minutes = 10/60 = 1/6

Then,

μ = 18 x 1/6 = 3

That is,

In every 10 minutes an average of 3 customers will arrive to the pizza station.

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The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),

To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:

h = h0 + v0t + 1/2at^2

where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).

In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.

At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:

v = v0 + at

we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:

0 = 108 - 32.2t

t = 108/32.2 ≈ 3.35 s

Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.

Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:

h_hill = h0 + v0t + 1/2at^2 - h_top

where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:

h_top = h0 + v0^2/2a

Plugging in the given values, we get:

h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft

Plugging this into the first equation, we get:

h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78

h_hill ≈ 25.73 ft

If the arrow is launched at t0, the equation describing velocity as a function of time would be:

v(t) = v0 - gt

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Answer:

commutative property of multiplication

Step-by-step explanation:

The commutative property of multiplication is correct. The commutative property of multiplication is basically arranging the numbers in any way and it won't change the product.

The associative property of multiplication is arranging the numbers in parenthesis and it won't change the product either.

Vertical Angles form when we have a geometric cross.

They are EQUAL.

Thus, we can write:

Answer:

4/x-1

Step-by-step explanation:

so divide by x

so 4/x

less 1

4/x-1

Using the Empirical Rule, it is found that:

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

The Empirical Rule states that, in a bell-shaped distribution:

-----------

Item a:

\(43.5 - 3(2.77) = 35.26\)

\(43.5 + 3(2.77) = 51.88\)

Within 3 standard deviations of the mean, thus, approximately 99.7%.

-----------

Item b:

\(43.5 - 2(2.77) = 38.03\)

\(43.5 + 2(2.77) = 49.11\)

Within 2 standard deviations of the mean, thus, approximately 95%.

-----------

Item c:

\(43.5 - 2.77 = 40.73\)

\(43.5 + 2.77 = 46.27\)

Approximately 68% of the amounts fall between $40.73 and $46.27.

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It is often used for predicting results in statistics. This rule could be used as an estimate of the consequence of upcoming data to also be collected but also analyzed after determining a confidence interval and before accumulating precise data.

In a clock-shaped distribution, the empirical rule states:

Point a:

\(\to \bold{43.5-3(2.77)= 43.5-8.31= 35.26}\\\\\to \bold{43.5+3(2.77)=43.5+8.31= 51.88}\)

Therefore, approximately \(\bold{99.7\%}\) within 3 standard deviations from the mean.

Point b:

\(\to \bold{43.5-2(2.77)= 43.5-5.54= 38.03}\\\\\to \bold{43.5+2(2.77)= 43.5+ 5.54= 49.11}\\\\\)

Therefore, approximately \(\bold{95\%}\) in 2 standard deviations from the mean.

Point c:

In 1 standard deviation of the mean, \(\bold{68\%}\)is as follows:

\(\to \bold{43.5-2.77= 40.73}\\\\\to \bold{43.5+2.77= 46.27}\)

About \(\bold{68\%}\) of the sums decrease from \(\bold{\$40.73 \ and \ \$46.27}\).

So, the final answer are:

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The surface area of the rectangular prism is 888 squared centimeters.

A rectangular prism is simply a three-dimensional solid shape which has six faces that are rectangles.

The surface area of a rectangular prism is expressed as;

S.A = 2( wl + hl + hw )

Where w is the width, h is height and l is length

Given the data in the diagram;

Plug the given values into the above formula and solve for the surface area.

S.A = 2( wl + hl + hw )

S.A = 2( (10 × 22) + (7 × 22) + (7 × 10) )

S.A = 2( 220 + 154 + 70 )

S.A = 2( 444 )

S.A = 888 cm²

Therefore, the surface area is 888 cm².

Option B) 888 cm² is the correct answer.

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For the 1st fraction, since 14 × 1 = 14,

9

14

=

9 × 1

14 × 1

=

9

14

Likewise, for the 2nd fraction, since 7 × 2 = 14,

6

7

=

6 × 2

7 × 2

=

12

14

Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction

9

14

<

12

14

or

9

14

<

6

7

Answer:

okay i'll keep this in mind

Step-by-step explanation:

Answer:

B. 60 cm²

Step-by-step explanation:

The formula for the area of a trapezoid is: \(\frac{1}{2}(b_{1} + b_{2} )h\)

Plugging in the given values, we can solve:

\(\frac{1}{2} (13+7)(6)\\\\\frac{1}{2}(20)(6)\\\\10(6)\\\\= 60\)

hope this helps!

The point has an x-coordinate of -4 and a y-coorindate of -1, and it is on the third quadrant.

First, remember that for a point (x, y):

For the point that is 4 units to the lefft and 1 unit down (of the origin) it is written as:

(-4, -1)

Then we can see that this point is on the quadrant III.

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By using simultaneous linear equation, it can be concluded that-

They should sell only scratching post during the last two weeks of the fundraiser

Third option is correct

What is simultaneous linear equation?

At first, it is important to know about linear equation.

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign

A one degree equation is known as linear equation.

Two or more linear equations, which can be solved together to obtain common solution are known as simultaneous linear equation.

Here, a system of simultaneous linear equation needs to be solved

Let the cost of one collar be $x and the cost of one scratching post be $y

The first week they sold seven collars and 10 scratching posts and donated $299.83.

7x  + 10y = 299.83 ..... (1)

The second week they sold nine collars and 18 scratching posts and donated $482.85.

9x + 18y = 482.85 .... (2)

Multiplying (1) by 9 and (2) by 5

63x + 90y = 2698.47 ..... (3)

45x + 90y = 2414.25 ... (4)

Subraction (4) from (3)

18x = 284.22

x = \(\frac{284.22}{18}\)

x = $15.79

Putting the value of x in (1)

7 \(\times\) 15.79 + 10y = 299.83
110.53 + 10y = 299.83

10y = 299.83 - 110.53

10y = 189.3

y = \(\frac{189.3}{10}\)

y = $18.93

Since the cost of one scratching post is more than cost of one collars, they should sold scratching post  during the last two weeks of the fundrasiser

Third option is correct

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Complete Question

The complete Question has been attached

Answer:

\(for \: x = 0 \\ y = 7 \\ the \: seccond \: answer \: is \: corect \\ for \: x = 0 \\ y = {2}^{2} + 3 = 7\)

Answer: 3y + 5 cm

Step-by-step explanation: The perimeter of a triangle

is just the distance around the outside of the figure.

So just add up all the sides.

So we have y + y + y + 5 and we get 3y + 5.

Answer:

middle set of data

Step-by-step explanation:

Step-by-step explanation:

first you group like terms.

-3s-s+8+1-2

-4s+7

Answer:

-4s + 7

Step-by-step explanation:

We need to combine like terms. Like terms are terms whose variables (and exponents) are the same (note that they could be constants as well). Basically, they are "like" each other. In this case, the like terms are -3s and - s and also 1, 8, and -2. -3s - s = -4s and 1 + 8 - 2 = 7 so the answer is -4s + 7.

The list of elements in the sets are as follows:

A.  A ∩ B = {2, 9}

B. B ∩ C = {2, 3}

C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D. B ∪ C = {2, 3, 5, 7, 9, 10}

Set are defined as the collection of objects whose elements are fixed and can not be changed.

Therefore,

universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10​}

A = {1, 2, 7, 8, 9}

B = {2, 3, 5, 9}

C = {2, 3, 7, 10}

Therefore,

A.

A ∩ B = {2, 9}

B.

B ∩ C = {2, 3}

C.

A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D.

B ∪ C = {2, 3, 5, 7, 9, 10}

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The empirical probability that Sharon will receive an A is 41/672, and the empirical probability that Cody will receive a B is 183/672.

To find the total number of students, we need to sum up the number of students in each grade category.

Total Students = Number of A students + Number of B students + Number of C students + Number of D students + Number of F students + Number of Incomplete students

Total Students = 41 + 183 + 265 + 96 + 85 + 2 = 672

Therefore, there are a total of 672 students.

To find the empirical probability that Sharon will receive an A, we need to divide the number of A students by the total number of students.

Empirical Probability of receiving an A = Number of A students / Total Students

Empirical Probability of receiving an A = 41 / 672

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 1.

Empirical Probability of receiving an A = 41 / 672

To find the empirical probability that Cody will receive a B, we need to divide the number of B students by the total number of students.

Empirical Probability of receiving a B = Number of B students / Total Students

Empirical Probability of receiving a B = 183 / 672

Again, to simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 1.

Empirical Probability of receiving a B = 183 / 672

Therefore, the empirical probability that Sharon will receive an A is 41/672, and the empirical probability that Cody will receive a B is 183/672.

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Answer:

its to small

Step-by-step explanation:

The value of x is; x = 3.14

Here, we have,

from the given diagram, we get,

there is a right angle triangle.

we have to find the value of x.

we know that,

Let the angle be θ , such that

cos θ = base / hypotenuse

here, we get,

cos 17 = 3/x

so, we have,

0.956 = 3/x

so, x = 3.14

Hence, The value of x is;x = 3.14

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Answer:

Intersecting (fourth answer choice)

Step-by-step explanation:

First, let's convert both lines to slope-intercept form, whose general equation is y = mx + b, where

Converting y - 3x = 4x to slope-intercept form:

(y - 3x = 4x) + 3x

y = 7x

Thus, the slope of this line is 7 and the y-intercept is 0.

Converting 6 - 2y = 8x to slope-intercept form:

(6 - 2y = 8x) - 6

(-2y = 8x - 6) / -2

y = -4x + 3

Thus, the slope of this line is -4 and the y-intercept is 3.

Checking if y = 7x and y = -4x + 3 are perpendicular lines:

We can show this in the following formula:

m2 = -1 / m1, where

Thus, we only have to plug in one of the slopes for m1.  Let's do -4.  

m2 = -1 / -4

m2 = 1/4

Thus, the slopes 7 and -4 are not negative reciprocals of each other so the two lines are not perpendicular.

 Checking if y = 7x and y = -4x + 3 are parallel lines:

The slopes of parallel lines are equal to each other.

Because 7 and -4 are not equal, the two lines are not parallel.

Checking if the lines intersect:

Method to solve the system:  Elimination:

We can multiply the first equation by -1 and keep the second equation the same, which will allow us to:

-1 (y = 7x)

-y = -7x

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

    -y = -7x

+

    y = -4x + 3

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

(0 = -11x + 3) - 3

(-3 = -11x) / 11

3/11 = x

Now we can plug in 3/11 for x in y = 7x to find y:

y = 7(3/11)

y = 21/11

Thus, x = 3/11 and y = 21/11

We can check our answers by plugging in 3/11 for x 21/11 for y in both y = 7x and y = -4x + 3.  If we get the same answer on both sides of the equation for both equations, the lines intersect:

Checking solutions (x = 3/11 and y = 21/11) for y = 7x:

21/11 = 7(3/11)

21/11 = 21/11

Checking solutions (x = 3/11 and y = 21/11) for y = -4x + 3:

21/11 = -4(3/11) + 3

21/11 = -12/11 + (3 * 11/11)

21/11 = -12/11 + 33/11

21/11 = 21/11

Thus, the lines y = 3x = 4x and 6 - 2y = 8x are intersecting lines (the first answer choice).

This also means that lines are not skew since lines had to be neither perpendicular nor parallel nor intersecting to be skew.

We have 3 cities, which are named and the statement tells us they go in this order

These cities are Portland, Tacoma and Seattle

The distance between Portland and Tacoma is 120 miles and the distance between Portland and Seattle is 145 miles

To determine the distance between Tacoma and Seattle we must subtract the distances.

Let's look at the following graph to understand this better

As seen in the graph, the distance between Tacoma and Seattle is the distance between Portland and Seattle minus the distance between Portland and Tacoma

The answer is 25 mi

Hence the correct option is to translate down 2 unit

Transformations can be non-rigid (when the preimage's size or shape is unaltered) or stiff (where the size is changed but the shape remains the same). These are the fundamental guidelines that this concept abides by. It is a straightforward approach to alter 2D forms.

Planar transformations and spaces can be distinguished from one another using the dimensions of the operand sets.

We have the parent function f(X)= x

and transformed function is g(x)= -3f(x+5)-2

the parent function f(x) is translated dawn 2 units and stretched by 5 .

Hence the correct option is to translate down 2 unit

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Answer:

slope equals 2

Step-by-step explanation:

graph points and calculate rise over run