in a pie eating contest, how many different ways can the gold medal for first place, the silver metal for second place, and bronze metal for third place be awarded if 18 contestants are eating pies? A. 3,360 B. 5,832 C. 5,202 D. 4,896

The probability of Miguel selecting a tile number less than 3 from each bag -1 is 1/5 and bag-2 is 2/5.

The given tiles in bag-1 = {2, 4, 5, 8, 9}

Total number of tiles in bag-1 = 5

The number of tiles less than number 3 in the bag - 1 = 1

The probability of Miguel selecting a tile number less than 3 =

number of tiles less than 3 / total number of tiles = 1/3

The given tiles in bag-2 = {0, 1, 3, 6, 7}

Total number of tiles in bag-2 = 5

The number of tiles less than number 3 in the bag-2 = 2

The probability of Miguel selecting a tile number less than 3 =

number of tiles less than 3 / total number of tiles = 2/3

From the above analysis, we solved the problem.

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Answer:

That'd be

1.3b -3.2b +7.8

-1.9b + 7.8

that's the simplification

don't forget to make my answer the brainliest if it's correct

Step-by-step explanation:

Pick any point on the graph below for a solution:

The equation of the word sentence, "5 is one-fourth of a number c" is: 5 = 1/4c.

To write a word sentence as an equation, you need to identify the variables and the operations being described in the sentence, and then use mathematical symbols to represent them.

For example, we are given the sentence "5 is one-fourth of a number c,", in this case, the variable is "c" and the operation is "one-fourth of," which is represented by the fraction 1/4 or the multiplication by 1/4.

Therefore, the equation would be:

5 = 1/4c.

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The value of x is 64 for the given logarithmic expression.

What is logarithm?

In arithmetic, the exponent is that the mathematical function to mathematical operation. meaning the exponent of variety x to the bottom b is that the exponent to that b should be raised, to supply x.

Main body:

You must first put in the same base. This can be started out by using the log rule

logₐ n=logn/loga

Explanation:

logx/log2−logx/log8=4

Now, rewrite the terms in the denominator by using the rule

logaⁿ=nloga

logx/1log2−logx/log2³=4

logx1/log2 − logx/3log2=4

Place on an equal denominator.

3 logx/3 log2 − logx/3log2=4

log₈(x³)−log₈(x)=4

Now, you must use the rule

logₐ n−logₐ m=logₐ (nm).

log₈(x³/x)=4

Convert to exponential form:

x²=8⁴

x²=4096

x=64

Hence the value of x is 64.

the correct statement for question is log₂x−log₈x=4

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Step-by-step explanation:

The solution to a system of equations can be found graphically by determining the point of intersection between the two lines representing the equations. This can be done by graphing the two equations on the same coordinate plane and identifying the point where the two lines intersect.

To find the slope of the graphs, we can use the formula:

slope = (change in y) / (change in x)

where (change in y) represents the difference in y-coordinates between two points on the line, and (change in x) represents the difference in x-coordinates between the same points. The slope is the ratio of the change in y to the change in x.

The y-intercept of a linear equation represents the point where the line intersects the y-axis, or where x = 0. It is the value of y when x = 0, and can be found by solving the equation for y when x = 0.

If two equations have the same slope and y-intercept, they are parallel lines and do not intersect. Therefore, there is no solution to the system of equations. If two equations have different slopes and different y-intercepts, they will intersect at a single point, which represents the solution to the system of equations.

Answer:

It is the coordinate pair at the place where the two linear graphs intersect.

please lmk if im correct or incorrect

Using the given information, the total distance travelled by the golf ball is 288 m

From the question, we are to calculate the total distance travelled by the golf ball

The distance travelled by the golf ball can be calculated by using the formula,

Distance = Speed × Time

From the given information,

The golf ball rolls at a speed of 8 m/s for 12 seconds

Thus,

The distance travelled at this time is

Distance = 8 m/s × 12 s

Distance = 96 m

Also,

Mandy hits the golf ball and it rolls for 16 seconds at a speed of 12 m/s

The distance travelled at this time is

Distance = 12 m/s × 16 s

Distance = 192 m

The total distance travelled by the golf ball is 96 m + 192 m

=

Hence, the total distance travelled by the golf ball is 288 m

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Answer:

1/28

Step-by-step explanation:

6/168=1/28

Answer:

hi

Step-by-step explanation:

I think so...

\( \frac{3}{14} \times \frac{2}{12} = \frac{1}{7} \times \frac{1}{4} = \frac{1}{28} \)

hope it helps

have a nice day

Answer:

the transformation T(a, b) can be change the pre image to the final image by following the rule as we explain below

if A(x, y) is a pre image, then A ' ( x', y') is its image, and x' = a+x, y' = b + y, where because of T(a, b) transformation

in our case Quadrilateral GHJK has vertices G(2, 3), so the coordinates of G”

can be found with

T(-4, -5) applied to G(2, 3) ⇒ G' (-4 +2, -5+3)=G' (-2, -2)

T(-4, -5) applied to G' (-2, -2) ⇒ G"(-4-2, -5-2) =G"(-6, -7)

the coordinates of G” are (-6, -7)

Step-by-step explanation:

Answer:

its c on edg (-1, -7)

Step-by-step explanation:

Answer:

3. definition of supplementary angles

4. supplementary pairs

5. 2 supplementary pairs have the same sum

6. vertical angles are equal

7. vertical angles are equal

Answer:

Step-by-step explanation:

She can paint 7/7 in 7 hours so that she can paint 1/7 in 1 hour

With an associate, they can paint 3/3 in 3 hours so that they can paint 1/3 in 1 hour

The difference in 1 hour (ie the amount the associate can paint on their own) is

1/3 - 1/7 = 7/21 - 3/21 = 4/21

To paint 21/21 it would be the number of times 421 would fit into 21/21 ie

21/4 hours = = 5 1/4 hours

Answer: These events are independent.

Step-by-step explanation:

Two events are considered independent if the outcome of one event does not affect the outcome of the other event. In this case, getting a 5 or 6 on a dice toss and getting at most 3 on a dice toss are independent events.

This is because the probability of getting a 5 or 6 is 2/6 or 1/3, which is completely unrelated to the probability of getting at most 3, which is 3/6 or 1/2. The outcome of getting a 5 or 6 does not affect the probability of getting at most 3, and vice versa. Therefore, these events are independent.

Answer:

7/48

Step-by-step explanation:

First, you would find common denominator

1/12 + 1/16 = 1*4/12*4 + 1*3/16*3 = 4/48 + 3/48 = 7/48

or

Add 4/48 + 3/48 = 4+3/48= 7/48

Answer:

its D. -3c

Step-by-step explanation:

just took the test

The expression that is equivalent to the expression [(6c² + 3c)/(-4c + 2)] ÷ [(2c + 1)/(4c - 2)] is; -3c

[(6c² + 3c)/(-4c + 2)] ÷ [(2c + 1)/(4c - 2)]

[3c(2c + 1)/(-2(2c - 1))] ÷ [(2c + 1)/(2(2c - 1)]

3/2 ÷ 1/5 is the same as; 3/2 × 5/1

Applying this same method to our question gives;

[3c(2c + 1)/(-2(2c - 1))] × [(2(2c - 1)/(2c + 1)]

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The linear equation that passes through the two given points is:

y = (-1/4)*x - 2/4

A general linear equation is written as:

y = m*x + b

Where m is the slope and b is the y-intercept.

If the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope of the line is:

m = (y₂ - y₁)/(x₂ - x₁)

Here we know that the line passes through (-1, -1/4) and (1, -3/4)

Then the slope is:

m = (-3/4 + 1/4)/(1 + 1)

m = (-2/4)/2 = -2/8 = -1/4

the line is:

y = (-1/4)*x + b

To find the value of v we can replace the point  (1, -3/4) so we get:

-3/4 = (-1/4)*1 + b

-3/4 + 1/4 = b

-2/4 = b

The linear equation is:

y = (-1/4)*x - 2/4

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At a price of $3, the total revenue will be the greatest, and the company will sell 3 units at that price.

To find the total revenue at each price, we can multiply the price by the corresponding quantity.

Price        Quantity          Total Revenue

$6                0                      $0

$5                 1                       $5

$4                 2                       $8

$3                 3                        $9

$2                 4                         $8

$1                  5                          $5

To find the price at which total revenue is the greatest, we look for the highest value in the Total Revenue column.

In this case, the highest total revenue is $9, which occurs when the price is $3.

At a price of $3, the company will sell 3 units (as indicated in the Quantity column).

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Given

Therefore, the average rate of return under continous compounding is approximately 8.9%.

Answer:

The correct answer is A.

Step-by-step explanation:

The correct answer is A.

To find the length of one side of the square, we need to take the square root of the area. Therefore, the square root of 90 is approximately 9.49 feet. Since this value falls between 9 feet and 10 feet, but is closer to 9 feet, the statement "√90 feet is between 9 feet and 10 feet but is closer to 9 feet" is true. So, Jimmy should cut the carpet to 9.49 feet to fit the square-shaped room.

Answer:

Are not

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

To see what multiple y is of x, divide y by x:

  y/x = 3/1 = 3

  y/x = 5/2 = 2.5

  y/x = 6/3 = 2

The values 3, 2.5, and 2 are not all the same, so you must conclude y is not a constant multiple of x.

If the multiple is not constant, the relationship is not proportional.

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:

32%

Step-by-step explanation:

Every year it's 4% so you multiply the percentage by the number of years( in this case 8)

So, 4x8=32. Therefore, your answer is 32%.

The 32 percent should be decreased in 8 years.

Given that,

Based on the above information, the calculation is as follows:

= 4% (8)

= 32%

Therefore we can conclude that the 32 percent should be decreased in 8 years.

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Isolating s, the equation written in terms of s is:

\(s = 12 - 0.5b\)

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

\(b = 24 - 2s\)

\(b = 24 - 2s\)

\(2s = 24 - b\)

Inverse of multiplication is division, thus:

\(s = \frac{24 - b}{2}\)

Separating into two fractions:

\(s = \frac{24}{2} - \frac{b}{2}\)

Solving each fraction:

\(s = 12 - 0.5b\)

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Answer:

If you are trying to find slope the answer is 1/2

Step-by-step explanation:

I'm sorry if im wrong but thats if you're trying to find slope if you're not my bad.

The solution is, the following expressions are equivalent to 4⁻³ / 4⁻⁸

A.  4^8/4^3

D. 4⁵

An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself.

here, we have,

We have to calculate to find the result -

The expression is = 4^(-3)/4^(-8)

According to the indices rule, the power will be deducted if it is a division.

Therefore, a^m/a^n = a^(m-n)

Using that formula,

4⁻³ / 4⁻⁸

= 4⁸ / 4³

= 4⁽⁸⁻³⁾

=4⁵

Therefore, the answer choice D is the option, and the answer is 4^5.

Option A is also correct.

Because we can find 4^5 with the help of that option.

Alternative way,

4^(-3)/4^(-8)

= 4^(-3+8)

= 4^(8-3)

= 4^8/4^3

In the is way, we can also find option A is correct.

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complete question:

Which of the following expressions are equivalent to 4^-3/4^-8?

Answer:

ANGLE CBE=25°

EXPLANATION:

LET ANGLE CBE BE X.

ANGLE CBE = ANGLE ABD

CBE=ABD=X

X+X+155°+155°=360°

2X+310°=360°

X=360-310/2

X=50/2

X=25°

:)

This is the coordinate plane shown below:

The horizontal axis is x-axis and the vertical axis is the y-axis.

See that the coordinate plane is broken down into 4 quadrants.

• Top Right - 1st quadrant

• Top Left - 2nd quadrant

• Bottom Left - 3rd quadrant

• Bottom Right - 4th quadrant

Now, we can plot a pair of point (x,y) on the coordinate plane.

We can have 4 types of points:

• (x positive, y positive) >>> falls in 1st quadrant

• (x negative, y positive) >>> falls in 2nd quadrant

• (x negative, y negative) >>> falls in 3rd quadrant

• (x positive, y negative) >>> falls in 4th quadrant

Let's plot 4 types of points in each coordinate and show in coordinate plane.

Let's plot:

A=(2,2)

B=(-2,2)

C=(-2,-2)

D=(2,-2)

In coordinate plane, they are:

Answer:

1.478

Step-by-step explanation:

Answer:

B. 8(3+1)

Explanation: 8x3 = 24. 8x1 = 8

Answer:

B. 8(3+1) = 32

Step-by-step explanation:

8 x 3 + 8 x 1 = 32

A. 8(3 + 8) = 88

B. 8(3+1) = 32

C. 3(8+1) = 72

D. 1(3+8) = 11

Answer: the answer is 3

Step-by-step explanation:

Isolate the x so in other words do the opposite, then you have your answer.

Answer:

D

Step-by-step explanation:

BRUH ALL IT SAYS IS "IT HAS ADDITION" HOW CAN YOU NOT SEE THAT I-

P=160-70*cos(2π*(1/12)*t)

• Pressure in mathematics or physics is defined as force per unit area. The pressure exerted by a solid object which is resting on top of a solid surface is the weight divided by the area of the object . SI unit of force is Newton (N).

First, we find the amplitude by taking the difference between the peak values and dividing by two:

Amplitude=(230+90)/2=70

We can find the center value by either adding 70 to the minimum or subtracting 70 from the maximum:

90+70=160

230-70=160

This tells us that the Center Value=160

The frequency that we are operating at is given as:

f = 5/hour

so in minutes

f=5*(1/60)/minute=5/60=1/12 per minute

So, combining everything we get

P=160-70*cos(2π*(1/12)*t)

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