17
There are 3 cards in Box A and 3 cards in Box B.
There is a number on each card.
a
Box B
Box A
9
3
4
4
2
2
3
5
a
Ryan takes at random a card from Box A and a card from Box B.
He adds together the numbers on the two cards to get a total score.
Work out the probability that the total score is an odd number.

Answer:

Step-by-step explanation:

If we draw radii from the center of this 18-gon to each vertex, we end up with 18 triangles that are all congruent to each other. If we divide 360 by 18 we get the measure of the vertex angle of each of these 18 triangles. 360/18 = 20. So we take one of these triangles and pull it out and use it as a representative triangle from which we use trig to find its height and its base length.

The formula for the area for a regular polygon is

\(A=\frac{1}{2}ap\) where a is the apothem (the height of our triangle) and p is the perimeter (found from the base of our triangle).

If we split this triangle we extracted right down the center vertically, we get 2 right triangles. Pull one of those out and this is the triangle we work with. The vertex angle is split in half and it now measures 10. The one base angle is the right angle and, by the Triangle Angle-Sum Theorem, the other base angle is 80. To find the height (or the apothem) of this right triangle that has a hypotenuse of 1 (the radius of the polygon is the hypotenuse of the right triangle), we use the sin or cos ratio. I used cos:

\(cos10=\frac{a}{1}\) so

a = .9848

To find the base of this right triangle, I used the sin ratio:

\(sin10=\frac{p}{1}\) so

p = .1736. But this is only half the length of one of the sides of the polygon, so multiply it by 2 to get the length of the whole side.

.1736 * 2 = .3473

Now, in order to find the perimeter, we multiply that one side by 18 to get

p = 6.2514

Now we're ready to find the area:

\(A=\frac{1}{2}(.9848)(6.2514)\) so

A = 3.078 square feet

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

The function f(x) = (x-1)/(x+1)^2 has 1 asymptote because the vertical asymptote occurs at x = -1, where the denominator (x+1)^2 is equal to zero. There are no horizontal asymptotes in this function. option c

The function f(x) = (x-1)/(x+1)^2 has only one asymptote. The denominator (x+1)^2 becomes zero at x = -1, which means that there is a vertical asymptote at x = -1. This means that it cannot be bigger than the value of 1 hence option b,c and are not correct.

However, the degree of the numerator is less than the degree of the denominator by 1. Therefore, there is no horizontal asymptote or slant asymptote. Hence, the correct option is c)1.

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Answer:12c + 30b ≤ 360

Step-by-step explanation:

Your math problem requires us to convert the word problem into math before we can solve the math. So let's try to do that first.

First, let's make a math equation to represent the amount of time.

The amount of time to bake "c" batches of cookies = (# of minutes per batch) x (# of batches) = 12 x c = 12c

Similarly for the amount of time to bake "b" batches of brownies = (# of minutes per batch) x (# of batches) = 30 x b = 30b

This is going to look like a format of:

(amount of time to bake cookies) + (amount of time to bake brownies) ≤ (total amount of time)

This person wants the (total amount of time) to be "at most 6 hours" but we can't just put "6" as our number because the other amounts of time are in "minutes".

6 hours * 60 minutes in an hour = 360 minutes

So our first equation becomes:

12c + 30b ≤ 360

Since the given function is

Substitute x by 0, 1, 2, 3, 4 to find f(x), then you can find the correct table

The correct table is the 4th answer

Answer:

24

Step-by-step explanation:

STEP 1. Write the given function

\(p(t) = - 1707t {}^{2} + 81000t + 10000\)

STEP 2. Find the maximum of the function

\( \frac{13500}{569} = 23.726 = 24\)

Step-by-step explanation: First, you have to find a common denominator, which is a number the denominator has in common. For example, a common denominator of 1/2 and 1/4 is 4 because 2x2=4 and 4x1=4. Then, the same number you multiplied by the denominator, you multiply it by the numerator. For example, 1/2, 1x2=2. 2/4=1/2. 1/4, 1x1=1= 1/4. Then you can add. 2/4 + 1/4=3/4

Hey there!

In order to add or subtract fractions with different denominators, we have to find the common denominator.

Example:

Suppose we need to add the following fractions:

\(\displaystyle\frac{1}{2} +\frac{1}{3}\)

What is the common denominator for these 2 fractions?

Well, we need to find the LCM (Least Common Multiple) of 2 and 3.

Multiples of 2: 2, 4, 6, 8, 10...

Multiples of 3: 3, 6, 9, 12, 15...

6 is the LCM, so we use 6 as our common denominator.

Now, what about the numerators?
We multiplied the denominator of the first fraction by 3, so we multiply the numerator of the first fraction by 3.

Then, we do the same to the second fraction.

We multiplied the denominator of the second fraction by 2, so we multiply the numerator of the first fraction by 2:

\(\displaystyle\frac{3}{6} +\frac{2}{6}\)

Now, we add 3+2:

\(\displaystyle\frac{5}{6}\)

I hope you find my answer helpful.

Good luck!

Have a great day!

\(\bf{StargazingWithJoy}\)

I don't expect you to pay me or give me brainliest. Just want to help.

Step-by-step explanation:

I'll start with the answers to each one, then explain exponents.

1) 5^4 = 625

2) x^3 = 0

3) 2^-1 = 0.5

4) 2^0 = 1

An exponent is a quantity representing the power to which a given number or expression is to be raised. (Don't use this exact definition in your answer.)

I'll use 5^4 as an example.

5^4 has a positive exponent, which means 5 is multiplied by itself 4 times.

5 * 5 * 5 * 5 = 625.

The number 5 here is considered the base.

In x^3, x is the base.

In 2^-1, 2 is the base, and so on.

If the exponent is 0, like 2^0, the answer is 1, regardless of the base.

5^0 = 1, 10^0 = 1, 3^0 = 1, and so on.

If the exponent is negative, like 2^-1, you will use this process;

2^-1 = 1/(2^-1) = 1/2 = 0.5

Here's a better example.

2^(-4) = 1/(2^4) = 1/(2*2*2*2) = 1/16 (or) 0.0625

Good luck mate. :)

Answer:

i got a orange

Step-by-step explanation:

There are 330 ways to select 7 seed packets out of 11.

To count the number of ways to select 7 seed packets out of 11, we can use the combination formula:

\(( \frac {k}n )= k!(n-k)!n!\)

where n is the number of items to choose from, and k is the number of items to choose. In this case, n=11 and k=7.

Plugging these values into the formula, we get:

\(( \frac{7}{11})= 7!(11-7)!11!\)

Simplifying the factorials, we get:

\(( \frac{7}{11})= \frac{7\times 6\times 5\times 4\times 3\times 2\times 1}{11\times 10\times 9\times 8\times 7\times 6\times 5}\)

Simplifying further, we get:

\(( \frac{7}{11} )= \frac{4\times 3\times 2\times 1}{11\times 10\times 9\times 8}\)

Simplifying again, we get:

\((\frac{11}7)=330\)

Therefore, there are 330 ways to select 7 seed packets out of 11.

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Step-by-step explanation:

When x=-3, then

Answer:

\( {x}^{2} - 5x - 8 \\ x = - 3 \\ {( - 3)}^{2} - 3 \times - 5 - 8 \\ 9 + 15 - 8 \\ 24 - 8 \\ = 16 \\ thank \: you\)

Suppose after the shock, the economy temporarily stays at the short-run equilibrium, then the output gap Y2−Y1 is: B< (less than)As the output gap measures the difference between the actual output (Y2) and potential output (Y1), when the output gap is less than zero, that is, the actual output is below potential output.

The inflation gap π2−π1 is 0. C= (equal)When the inflation gap is zero, it means that the current inflation rate is equal to the expected inflation rate.12. Suppose there is no government intervention, the economy will adjust itself from short-run equilibrium to long-run equilibrium, at such long-run equilibrium, output gap Y3−Y1 is 0. C= (equal). As the long run equilibrium represents the potential output of the economy, when the actual output is equal to the potential output, the output gap is zero.13.

The inflation gap π3−π1 is 0. C= (equal) Again, when the inflation gap is zero, it means that the current inflation rate is equal to the expected inflation rate.14. (1 point) Suppose the Fed takes price stability as their primary mandates, then which of the following should be done to address the shock. B monetary tightening When the central bank takes price stability as its primary mandate, it aims to keep the inflation rate low and stable. In the case of a positive shock, which can lead to higher inflation rates, the central bank may implement a monetary tightening policy to control the inflation.

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Answer:

7

Step-by-step explanation:

f(x)=x²-3 is the function

f(a)=46 means that when a value in applied to the function, u would get 46

so

f(a)= a²-3=46

a²=49

a=7

Answer:

Sister = 15 years old

Brother = 12 years old

Step-by-step explanation:

Right now, if the brother is B years old and the sister is S years old, B = (4/5)S because the ratio from brother to sister is 4:5, so if one unit is X, B = 4X and S = 5X

Three years ago, the brother was B-3 years old and the sister was S-3 years old. Keeping one unit as X, we have

B = 3X

S = 4X

B-3 = (3/4)(S-3)

Therefore, we have a system of equations

B = (4/5)S

B-3 = (3/4)(S-3)

Substitute (4/5)S for B into the second equation to only have one variable

(4/5)S - 3 = (3/4)(S-3)

(4/5)S - 3 = (3/4)S - 9/4

add 3 to both sides and subtract (3/4)S from both sides to isolate the variable and its coefficient

(1/20)S = 3/4

multiply both sides by 20 to isolate the S

S = 15

B = (4/5)S = 12

The probability that 3 or more copies will be demanded in a particular day is 0.64.

What is probability?

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The probability for 3 or more copies to be demanded is the sum of all the probability distributions for 3 or more copies demanded per day.

This can be written in an equational form -

P(x) = 0.14 + 0.12 + 0.10 + 0.08 + 0.07 + 0.06 + 0.04 +0.03

P(x) = 0.64

Therefore, the probability is 0.64.

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Answer:

B and D

Step-by-step explanation:

The terminal side of an angle of t radians in standard position is in the fourth quadrant.

If cos(t) > 0 and sin(t) < 0, then we know that t is in the fourth quadrant.

Here's why:

Since cos(t) > 0, the cosine function is positive in either the first or fourth quadrant. However, sin(t) < 0 means that the sine function is negative, which only occurs in the third or fourth quadrant. Therefore, t must be in the fourth quadrant where both cos(t) and sin(t) are positive.

Alternatively, we can use the fact that the tangent function is negative in the second and fourth quadrants. Since sin(t) < 0, we know that the terminal side of the angle t is below the x-axis. This means that the tangent of t is negative, and therefore t is in the fourth quadrant where the tangent function is negative.

In either case, we can conclude that the terminal side of an angle of t radians in standard position is in the fourth quadrant.

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Given data:

The initial value of the temperature is T= 31 degrees Fahrenheit.

The temperature drop is T'= 15 degrees .

The expression for the final value of the temperature is,

Substitute the given values in the above expression.

Thus, the final temperature is 16 degrees Fahrenheit.

The median speed at which Dave drove to work is 62 mph.

To find the median speed at which Dave drove to work, we need to arrange the average speeds in ascending order and determine the middle value.

Arranging the average speeds in ascending order:

44, 45, 54, 59, 62, 63, 66, 67, 70

Since we have nine values, the middle value is the 5th value, which is 62.

Therefore, Dave's average speed on the way to work was 62 mph.

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Answer:

B.

Step-by-step explanation:

Okay so basically, the original triangle is

D: (-5,1)

E: (-2,5)

F: (1,-1)

And the translation equation is x+1 and y-3
for D, the new translation point would be (-4, -2)

for E, the new translation point would be (-1, 2)

for F, the new translation point would be (2, -4)

So the answer would be B.

I really hope this helps.

Answer: 2(4x-7)

Take the greatest common factor, which in this case is 2.

2(   )

8x/2=4x

2(4x  )

-14/2=-7

2(4x-7)

And there you have it.

Answer:

Option B is the correct option.

Step-by-step explanation:

\(y = - 2x + 4...........(i)\)

\(y = x - 5..........(ii)\)

Equate ( i ) and ( ii ),

\( - 2x + 4 = x - 5\)

Move variable to L.H.S and change its sign

Similarly, Move constant to R.H.S and change its sign

\( - 2x - x = - 5 - 4\)

Calculate

\( - 3x = - 9\)

Divide both sides of the equation by -3

\( \frac{ - 3x}{ - 3} = \frac{ - 9}{ - 3} \)

Any expression divided by itself equals 1

\(x = \frac{ - 9}{ - 3} \)

Dividing two negatives equals a positive \(( - ) \div ( - ) = ( + )\)

\(x = \frac{9}{3} \)

calculate the quotient

\(x = 3\)

Value of X is 3

Now, put the value of X in equation ( i ) in order to find the value of y

\(y = x - 5\)

plug the value of X

\( = 3 - 5\)

Calculate

\( = - 2\)

Value of y is -2

So, ( 3 , -2 ) is the solution of the given equation.

Hope this helps ....

Best regards!!

you would need to sell $600,000 to earn the same amount of money in both jobs. To determine the sales amount required to earn the same amount of money in both jobs, we need to set up an equation based on the given information.

Let's assume the sales amount as 'x'.

In Job A, the total earnings would be the sum of the annual salary and the year-end bonus:

Total earnings in Job A = $30,000 + 0.01x

In Job B, the total earnings would be the sum of the annual salary and the year-end bonus:

Total earnings in Job B = $24,000 + 0.02x

To find the sales amount at which both jobs offer the same earnings, we set up the equation:

$30,000 + 0.01x = $24,000 + 0.02x

Simplifying the equation:

0.01x - 0.02x = $24,000 - $30,000

-0.01x = -$6,000

Dividing both sides of the equation by -0.01:

x = $6,000 / -0.01

x = $600,000

Therefore, you would need to sell $600,000 to earn the same amount of money in both jobs.

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Step-by-step explanation:

a) 2+3=5

2/5 * 80= 32

3/5 * 80= 48

b) 5+7= 12

5/12 * 156= 65

7/12 * 156= 91

c) 4+5=9

4/9*384=170.67

5/9*384=213.34

d) 1+2+3=6

1/6*1.62=0.27

2/6*1.62=0.54

3/6*1.62=0.81

e) 1+1+4=6

1/6*96=16

1/6*96=16

4/6*96=64

Answer:

x

Step-by-step explanation:

It does not say the number of how many people are suing blue or white.

Answer:

1/4

Step-by-step explanation:

Answer:i dont know so sorry

Step-by-step explanation

But i think 1/4  or 0.25

The production level that minimizes the average cost per unit is x = 6.

This is a fourth-degree polynomial, which can be difficult to solve algebraically. However, we can use numerical methods (such as a graphing calculator or software) to find the value of y that minimizes the polynomial. We find that y ≈ 1.08025, which implies that x ≈ 1.1669. Therefore, the production level that minimizes the average cost per unit is x = 6 (rounded to the nearest integer). This can be verified by checking the second derivative of AC(x) to ensure that it is positive at x = 6, indicating a minimum point.

We first need to find the average cost per unit. This is given by the total cost divided by the number of units produced:
AC(x) = c(x) / x
Substituting c(x) into this equation, we get:
AC(x) = (5x - 8x - 2√x) / x
Simplifying this expression, we get:
AC(x) = (5 - 8/x - 2/x√x)
Now, we need to find the value of x that minimizes AC(x). To do this, we can take the derivative of AC(x) with respect to x and set it equal to zero:
dAC(x) / dx = -5/x^2 + 8/x^3 + 1/(x√x) = 0
Multiplying both sides by x^3√x, we get:
-5x√x + 8x^2 + √x = 0
Squaring both sides of this equation, we get:
25x^3 - 64x^4 + 16x = 0
Simplifying this expression, we get:
x(25 - 64x + 16√x) = 0
Since x cannot be zero, we must solve for the other factor:
25 - 64x + 16√x = 0
Squaring both sides of this equation, we get:
625 - 320x + 256x - 512√x = 0
Simplifying this expression, we get:
256x - 320x + 512√x = 625
Simplifying further, we get:
16x - 20x + 32√x = 25
Dividing both sides by 4, we get:
4x - 5x + 8√x = 25/
Substituting x = y^2, we get:
4y^2 - 5y^4 + 8y = 25/4
Multiplying both sides by 4, we get:
16y^2 - 20y^4 + 32y = 25
Dividing both sides by 5, we get:
3.2y^2 - 4y^4 + 6.4y = 5

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Answer:

b=312

g=396

you can use substitution or elimination

Step-by-step explanation:

(b+g=708)10

(15b+10g=8640)1

(10b+10g=7080)-

(15b+10g=8640)

10b-15b=-1560

-5b=-1560

divide both sides by -5

b=312

then substitute

b+g=708

312+g=708

g=708-312

g=396

so b=312

g=396

Answer:its c

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

The answer is A because a reflection would be Reflected so its on the right side of the graph and the Z is facing the other way as if it were a literal reflection which it is.

Hope my awkward way of explaining this helps you on your test since i just passed mine and it said A was correct.

Answer:

No

Step-by-step explanation:

4/20 is a fraction just like 5/20. 5 is higher than 4, which means it'd take less time to get to 20 using five than it would with 4