The spinner shown is spun twice. Express your answer
as a simplified fraction.
7. Find P(the two numbers have an even sum).
8. Find P(two even numbers).

Answer:

Simplifying the expression `n + n - 0.18n`, we get:

n + n - 0.18n = 2n - 0.18n

Therefore, the expression `n + n - 0.18n` is equivalent to `2n - 0.18n`.

Looking at the answer choices:

a. 1.18n

b. 1.82n

c. n- 0.18

d. 2n - 0.82

We can see that choice d is equivalent to the simplified expression `2n - 0.18n`.

Therefore, the answer is d. 2n - 0.82.

Step-by-step explanation:

Answer:

$28

Step-by-step explanation:

5.5% is $1.54 of what number? (%/100= is/of)

5.5/100 = 1.54/X

X = (1.54 * 100) / 5.5 = $28

Answer:

sus

Step-by-step explanation:

O_O

Answer:

1.58 ish

Step-by-step explanation:

For a logx y = z, x^z = y
So here, log4 9= 1.58 or so
1.5849625007

Answer:

yes

Step-by-step explanation:

Theorem gives us a2 + b2 = c2 for a right triangle, where c is the hypotenuse and a and b are the smaller sides. Here a is equal to 5 and c is equal to 14, so b2 = 142 – 52 = 171. Therefore b is equal to the square root of 171 or approximately 13.07.

The simplified expression of 4√6/√30 by rationalizing the denominator is (8√5) / 15.

To rationalize the denominator, multiply both the numerator and denominator by a factor that will eliminate the radical from the denominator.

In this case, multiply both the numerator and denominator by the radical conjugate of the denominator, which is also √30.

(4√6)/√30 = (4√6/√30) × (√30/√30)

= (4√6√30) / 30

= (4√(630)) / 30

= (4√180) / 30

= (4√365) / 30

= (4 x 6√5) / 30

= (8√5) / 15

Therefore, the simplified expression is (8√5) / 15.

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We were told that the recipe uses 6 cups of flour to 1 1/10 cups of milk. Converting 1 1/10 to improper fraction, it becomes 11/10

Let x represent the number of cups of milk that would be used for 2 cups of flour. The equations would be as shown below

11/10 = 6

x = 2

By cross multiplying, we have

2 * 11/10 = 6 * x

6x = 22/10 = 11/5

x = (11/5) / 6

If we flip 6 such that it becomes 1/6, the division sign changes to multiplication. Thus, we have

x = 11/5 * 1/6 = 11/30

Thus, 11/30 cup of milk should be used

Each friend had originally 13 action figures before buying 11 more.

Given that there are 5 friends and each of them has x action figures in his or her collection. When they buy 11 more action figures, the total number of action figures they will have is 120.

a) We need to find an equation that models the problem. Let x be the original number of action figures that each friend had.

Therefore, the total number of action figures that each friend will have after purchasing 11 more is x + 11.

The total number of action figures will be 5(x + 11) = 5x + 55.

Now, according to the problem,5x + 55 = 120

This is our equation that models the problem.

b) We have to solve the equation 5x + 55 = 120 to find the original number of action figures, x, that each friend had before buying 11 more action figures.

5x + 55 = 120

5x = 120 - 55 (subtract 55 from both sides)

5x = 65x = 13

Therefore, each friend had originally 13 action figures before buying 11 more.

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Correct Option is,

D) Buy, because the expected rate is greater than the required rate.

Now, Based on the information you've provided,

To calculate the required rate of return, we can use the SML formula as;

Required rate of return = risk-free rate + beta x (expected market return - risk-free rate)

Plugging in the numbers, we get:

Required rate of return = 8% + 0.85 x (16% - 8%)

                                   = 14.6%

Since the expected rate of return for Stock S is,

= dividend yield + growth rate

= (1.1 / 22 + 8%),

= 9.4%

which is higher than the required rate of return of 14.6%,

Here, the stock is undervalued and would be a good buy.

Therefore, the answer is, option D) Buy, because the expected rate is greater than the required rate.

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Answer: \(\frac{23}{7}\)

Step-by-step explanation:

    An improper fraction is a fraction with the wholes / ones in the numerator.

3 \(\frac{2}{7}\)

3 * 7 = 21

21 + 2 = 23

\(\frac{23}{7}\)

Answer:

23/7

Step-by-step explanation:

You multiply 7 times 3 which equals 21 then add 2 and get 23 you leave yor denominator the same.

So you multiply your denominator by your wole number then add the whole number (21) by your numerator (2) and leave your denominator (7) as it is.

Step-by-step explanation:

Based on the given tables for x = 1, 2, 3, and 4:

A. x: 1, 2, 3, 4. y: 1/2, 1, 1 1/2, 2

B. x: 1, 2, 3, 4. y: 1, 1/2, 1/3, 1/4

C. x: 1, 2, 3, 4. y: 7, 9, 13, 21

D. x: 1, 2, 3, 4. y: 0, 6, 16, 30

A linear function has a constant rate of change (slope). Let's calculate the differences in y-values for each table:

A. 1 - 1/2 = 1/2, 1 1/2 - 1 = 1/2, 2 - 1 1/2 = 1/2 (constant differences)

B. 1 - 1/2 = 1/2, 1/2 - 1/3 = 1/6, 1/3 - 1/4 = 1/12 (not constant)

C. 9 - 7 = 2, 13 - 9 = 4, 21 - 13 = 8 (not constant)

D. 6 - 0 = 6, 16 - 6 = 10, 30 - 16 = 14 (not constant)

Table A represents a linear function, as the differences in the y-values are constant (1/2).

Answer:

To calculate the infusion rate, we need to use the formula:

Infusion rate (ml/hour) = (dose ordered * patient weight * 60) / (drug concentration * 1000)

where:

Dose ordered is the prescribed dose of the drug per unit of time (0.1 mg/kg/hr in this case).

Patient weight is the weight of the client (78 kg in this case).

Drug concentration is the concentration of the drug in the solution (25 mg/250 ml or 0.1 mg/ml in this case).

Substituting the values we have:

Infusion rate = (0.1 mg/kg/hr) * (78 kg) * 60 / (0.1 mg/ml * 1000)

Simplifying:

Infusion rate = 4.68 ml/hour

Therefore, the practical nurse should program the infusion pump to deliver 4.68 ml/hour (rounded to the nearest tenth).

Answer:

To calculate the infusion rate, we need to use the following formula:

Infusion rate (mL/hour) = Total volume (mL) x Infusion rate (mL/hour) / Time (hour)

First, let's calculate the client's infusion rate in mg/hour:

Infusion rate (mg/hour) = 0.1 mg/kg/hour x 78 kg = 7.8 mg/hour

Now, let's convert the pancuronium dose to mg/mL:

25 mg/250 mL = 0.1 mg/mL

To calculate the total volume of the infusion, we need to assume a time frame. Let's assume that the client needs the infusion for 1 hour. Then:

Total volume (mL) = Infusion rate (mg/hour) / Dose (mg/mL) = 7.8 mg/hour / 0.1 mg/mL = 78 mL/hour

Therefore, the practical nurse should program the infusion pump to deliver 78 ml/hour.

Let the height be h.

Then by Pythagorean rule, we have

Therefore,

Hence,

Hence the height is 12 feet

Answer:

the answer is

Step-by-step explanation:

So 12 more than N would be 12 + N.

Answer:

b) 12 + n

Step-by-step explanation:

The statement is,

→ 12 more than a number.

Now equation will be,

→ 12 + n

≈ (or) n + 12

So, option (b) is correct.

Using the monthly payment formula, he needs to deposit A = $1,342.12 a month to reach his goal.

It is given by:

\(A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}\)

In which:

For this problem, the parameters are:

P = 250000, r = 0.05, n = 12 x 30 = 360.

Then:

r/12 = 0.05/12 = 0.004167.

Then:

\(A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}\)

\(A = 250000\frac{0.004167(1+0.004167)^{360}}{(1+0.004167)^{360} - 1}\)

A = $1,342.12

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Answer:

True

Step-by-step explanation:

Cars and planes use fossil fuels such as, gas, petroleum. These are unrenewable resources.

Answer:

true

Step-by-step explanation:

they both emit carbon so if they are both used more often then carbon emissions will increase.

According to the Pythagorean theorem, The Answer is Yes the third side is greater than 1 foot.

A right triangle is one that has an interior angle of 90 degrees. The hypotenuse, which is also the side of the right triangle that faces the right angle, is its longest side. The height and base make up the two arms of the right angle.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

p=1 foot

b=1 foot

\(h^{2} = p ^{2} + b ^{2}\)

\(h=\sqrt {1^{2}+1^{2}}\\=\sqrt 2\\=1.41\\\)

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Answer:

2 ± √3

Step-by-step explanation:

           x² - 4x = -1

                 4 ÷ 2 = 2

          2² = 2* 2 = 4

          x² - 4x + 4 = -1 + 4

          x² - 4x + 4 = 3

         x² - 2 * x * 2 + 2² = 3

            (x - 2)² = 3

             x - 2 = ±√3

                    x = 2 ± √3

Answer is in the photo. I can only upload it to a file hosting service. link below!

tinyurl.com/wpazsebu

Answer:

Likely

Step-by-step explanation:

The answer is likely because out of 19 marbles the probablility o choosing a red or yelow marble is 12. When you divide 12 by 19 then you get 63 which is close to the likely side.

Since it is a right triangle we can apply the Pythagorean theorem:

c^2 = a^2 + b^2

Where:

c = hypotenuse = x

a & b = the other 2 legs of the triangle (24 and 7 )

Replacing:

x ^2 = 24^2 + 7^2

Solve for x:

x^2 = 576 +49

x^2 = 625

x = √625

x = 25

Garage B is more cost-effective for any parking duration exceeding 2 hours.

When comparing Garage A and Garage B based on their pricing structure, it's important to consider both the flat fee and the hourly rate to determine which option is more cost-effective.

Garage A charges a flat fee of $5, regardless of the duration of parking, and an additional $2 for every hour parked. This pricing structure benefits those who need to park for shorter durations, as the flat fee is relatively low.

However, for longer parking durations, the hourly charge can accumulate significantly, making it less favorable for extended stays.

On the other hand, Garage B follows a different approach by charging a rate of $4.50 per hour with no flat fee. This pricing structure is more suitable for those who require shorter parking times, as they only pay for the exact duration of their stay. In such cases, Garage B would likely be more cost-effective compared to Garage A.

However, for longer stays, Garage A might offer better value. For example, if someone needs to park for 6 hours, Garage A would charge $17 ($5 flat fee + 6 hours * $2/hour) while Garage B would charge $27 ($4.50/hour * 6 hours). In this scenario, Garage A would be the more affordable option.

Ultimately, the choice between Garage A and Garage B depends on the individual's specific parking needs. If the stay is anticipated to be short, Garage B's hourly rate is preferable.

However, for longer durations, Garage A's combination of a flat fee and hourly rate may result in lower overall costs. It's essential to consider the anticipated length of stay to make an informed decision.

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Answer:

1/2 + 1/4 would be 3/4.

1/2 + 1/6 would be 2/3.

Step-by-step explanation:

Answer:

No 2 :8

Sorry if wrong........

Answer:

x = 12

y = 9

Step-by-step explanation:

\(\triangle ACD \cong \triangle BCD.. (given) \\\\

\therefore AC \cong BC\\\\

\therefore m(AC) = m(BC) \\\\

\therefore 2x = x + 12\\\\

\therefore 2x - x = 12\\\\

\therefore x = 12\\\\

Similarly \\\\

BD \cong AD\\\\

\therefore m(BD) = m(BD) \\\\

2y - 4= y + 5\\\\

2y - y = 4 +5\\\\

y = 9

\)

Answer:

See below

Step-by-step explanation:

45% of 480 = .45 * 480 = 216

40% of 540 = .4 * 540 = 216

They both have 216 minutes left.

As Borla has 264 minutes left compared to Amy's 324 minutes.

Hence, Borla has more time left before his phone battery dies.

Use the concept of percentage defined as:

A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means.

Given that,

Borla phone typically lasts for 480 minutes when fully charged.

Amy's phone typically lasts for 540 minutes when fully charged.

Borla phone shows 45% battery life remaining.

Amy's phone shows 40% battery life remaining.

Borla's phone has 45% of its battery life remaining,

Which means it has used up 55% of its battery life.

Since it typically lasts for 480 minutes when fully charged,

Calculate the time remaining by multiplying 480 by 0.55.

This gives us 264 minutes.

Similarly, Amy's phone has 40% of its battery life remaining,

Which means it has used up 60% of its battery life.

Using the same calculation, multiply 540 by 0.60,

Which gives us 324 minutes.

Hence,

Borla has more time left before his phone battery dies. He has 264 minutes left compared to Amy's 324 minutes.

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Answer:

Step-by-step explanation:

Using FV = PV(1 + r)^n where FV = future value, PV = present value, r = interest rate per period, and n = # of periods

1/PV (FV) = (PV(1 + r^n)1/PV divide by PV

ln(FV/PV) = ln(1 + r^n) convert to natural log function

ln(FV/PV) = n[ln(1 + r)] by simplifying

n = ln(FV/PV) / ln(1 + r) solve for n

n = ln(2/1) / ln(1 + .08) solve for n, letting FV + 2, PV = 1 and rate = 8% or .08 compound annually

n = 9

n = ln(2/1) / ln(1 + .08/12) solve for n, letting FV + 2, PV = 1 and rate = .08/12 compound monthly

n = 104 months or 8.69 years

n = ln(2/1) / ln(1 + .08/365) solve for n, letting FV + 2, PV = 1 & rate = .08/365 compound daily

n = 3163 days or 8.67 years

Alternatively

A = P e ^(rt)

Given that r = 8%

= 8/100

= 0.08

2 = e^(0.08t)

ln(2)/0.08 = t

0.6931/0.08 = t

t= 8.664yrs

t = 8.67yrs

Which ever approach you choose to use,you will still arrive at the same answer.

Answer:

$33 and twice

Step-by-step explanation:

Hey there!

If you ever come across the word “difference” in mathematics (or math) it usual means “SUBTRACT” (or SUBTRACTION) so basically you’re going to SUBTRACT 234 from 250

Equation:

234 - 250 = -16

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)