Which of the following statements must be true based on the diagram below? Select all that apply.

RS is a segment bisector.
RS is an angle bisector.
RR is the vertex of a pair of congruent angles in the diagram.
RR is the midpoint of a segment in the diagram.
SS is the midpoint of a segment in the diagram.
None of the above.

$14,000 will grow to approximately $19,160 in two years, assuming an interest rate of 16% compounded quarterly. The correct answer is $19,160.

How can we calculate the interest rate of  16% compounded quarterly?
FV = PV(1 + r/n)^(nt)
where:
FV = future value
PV = present value ($14,000)
r = interest rate (0.16)
n = number of times compounded in a year (quarterly = 4)
t = number of years (2)
Step-by-step calculation:
1. Calculate the quarterly interest rate: 0.16 / 4 = 0.04
2. Calculate the total number of compounding periods: 4 * 2 = 8
3. Calculate the factor: (1 + 0.04)^8 = 1.3685 (rounded to 4 decimal places)
4. Multiply the present value by the factor: $14,000 * 1.3685 = $19,159.66 (rounded to 2 decimal places)

So, $14,000 will grow to approximately $19,160 in two years, assuming an interest rate of 16% compounded quarterly. The correct answer is $19,160.

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Answer:

Closer to 30.

Step-by-step explanation:

To answer this first find 40% of 90.

90*0.4=36

0.4 is the same as 40%

Hope this helps!

If not, I am sorry.

Answer:

4

Step-by-step explanation:

Answer:

There are several different means:

Arithmetic: 4 (This is most likely your answer.)

Geometric: 3.0862

Harmonic: 2.3736

Hope that this helps!

Answer:

x = 3.2

Explanation:

when y = 1

1 = x²-2x-3

x²-2x-3-1 = 0

x²-2x-4 = 0

                                      \(x = \frac{ 2 \pm \sqrt{(-2)^2 - 4(1)(-4)}}{2*1}\)

                                               \(x = 1 + \sqrt{5}\)

                                                 x = 3.236

                                                 x = 3.24 in 2 decimal places

                                                 x = 3.2  in nearest tenth

Answer:

5. (a)

6. (b)

I am hoping that this will help you

Answer:

English translation please.....

Answer:

y = 4x + 10

Step-by-step explanation:

2y - 8x = 20 ( add 8x to both sides )

2y = 8x + 20 ( divide through by 2 )

y = 4x + 10

Answer: y=4x+10

Step-by-step explanation:

The area in square meters will the oil slick cover is 9.5×10⁶ m².

15 barrels of diesel spilt into the ocean, where each barrel contains 42 gallons. Thereby the total volume of the oil spilt by 15 barrels is calculated as follows:

The total volume of the oil spilt by 15 barrels = 15× 42 gallons.

=630 gallons

1 gallon = 3.78541 liters

Volume in L = 630 gallons × 3.78541 liters/ 1 gallon

= 2384.8083 L

1 L = 10⁻³ m³

2384.8083  L = 2384.8083 × 10⁻³ m³

= 2.3848083 m³

The area covered by the oil spill has to be determined, where the thickness of the oil spill is given to be 2.5×10² nm.

1 nm = 10⁻⁹ m

Thereby, 2.5×10² nm = 2.5×10²×10⁻⁹ m

= 2.5×10⁻⁷ m

Area (m²) = volume (m³)/thickness (m)

= 2.3848083 m³/ 2.5×10⁻⁷ m

= 0.95392×10⁷ m²

= 9.5×10⁶ m²

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Answer:

191+192

Step-by-step explanation:

Using the quotient rule, it is found that the derivative of the function is given as follows:

\(f^{\prime}(x) = -\frac{1}{2\sqrt{s}(\sqrt{s}+2)^2}\)

Suppose a quotient function defined as follows:

\(f(x) = \frac{g(x)}{h(x)}\)

Then, the derivative is given by:

\(f^{\prime}(x) = \frac{g^{\prime}(x)h(x) - h^{\prime}(x)g(x)}{h(x)^2}\)

In this problem, we have that:

Then, since g'(x) = 0, the derivative is given by:

\(f^{\prime}(x) = -\frac{1}{2\sqrt{s}(\sqrt{s}+2)^2}\)

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The concept that can explain this is called "Survivorship Bias". Survivorship bias occurs when we focus on those who "survived" or made it through a particular event or process, and overlook those who did not. In the case of marriage, those who have divorced are not included in the statistics on happy marriages, so the overall rate of happy marriages appears to be higher than it actually is.

In other words, the statistics on divorce rates only take into account marriages that have ended in divorce, but not the marriages that have remained intact. Therefore, the majority of spouses who report being very happy in their marriage are likely the ones who have successfully stayed married and are still together. The statistics only reflect those who have not been able to maintain a happy marriage.

It's also important to note that happiness is subjective and can vary from person to person. Some individuals may find happiness in their marriage despite facing challenges, while others may not. Therefore, even if a marriage does end in divorce, it does not necessarily mean that it was unhappy throughout its duration.

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Answer:

320 people

Step-by-step explanation:

\(\frac{2 people}{5 people}\)=\(\frac{x}{800 people}\)

solve for x by using cross multiplication

     -multiply 2 by 800 to get 1,600

     -divide 1,600 by 5 people to get 320

your answer is 320 people

a) The arrival rate of parties requesting a table of size two per hour is 50% of the total arrival rate. Therefore, it is 0.5 * 24 = 12 parties per hour.

b) The total arrival rate of parties requesting tables of any size per hour is 24 parties per hour.

c) The average number of parties requesting a table of size four per hour is 40% of the total arrival rate. Therefore, it is 0.4 * 24 = 9.6 parties per hour.

d) The average number of parties waiting for a table of size four is given as 2 parties.

a) The arrival rate of parties requesting a table of size two per hour is calculated by taking the percentage of parties requesting a table of size two out of the total arrival rate. In this case, 50% of the parties require a table of size two. So, the arrival rate for parties requesting a table of size two is 0.5 * 24 = 12 parties per hour.

b) The total arrival rate of parties requesting tables of any size per hour is simply the sum of the arrival rates for each table size. In this case, we have an arrival rate of 12 parties per hour for tables of size two, 40% of the parties require a table of size four (which corresponds to an arrival rate of 0.4 * 24 = 9.6 parties per hour), and 10% of the parties request a table of size six (which corresponds to an arrival rate of 0.1 * 24 = 2.4 parties per hour). Adding these arrival rates together gives a total arrival rate of 12 + 9.6 + 2.4 = 24 parties per hour.

c) The average number of parties requesting a table of size four per hour is calculated by taking the percentage of parties requesting a table of size four out of the total arrival rate. In this case, 40% of the parties require a table of size four. So, the average number of parties requesting a table of size four per hour is 0.4 * 24 = 9.6 parties per hour.

d) The average number of parties waiting for a table of size four is given as 2 parties. This means, on average, there are 2 parties waiting for a table of size four at any given time.

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Answer:

by my best guess, x = -5 (negative five)

Step-by-step explanation:

Hence, Harry gives £5 money to Sunil.

A ratio shows how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six. Similarly, the ratio of lemons to oranges is 6:8 and the ratio of oranges to the total amount of fruit is 8:14.

Given, Ratio 7:2Harry and Sunil have the same amount of money. Harry wants Sunil to have £5 more.

We have to find out how much does he give him?

Solution:Let us assume that Harry has 7x amount of money, so Sunil has 2x amount of money.

According to the question, we have:

7x = 2x + 5 ⇒ 7x - 2x = 5 ⇒ 5x = 5 ⇒ x = 1

Therefore, Harry has 7x = 7 × 1 = £7 and Sunil has 2x = 2 × 1 = £2.

Now, Harry wants to give £5 to Sunil.
So, Harry gives:Amount = 5/7 × 7 = £5

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Answer:

40

Step-by-step explanation:

40 divided by 1/4 = 10

25% = 1/4

Answer:

40

Step-by-step explanation:

We Know

25% of x is 10

Find x

We Take

10 x 4 = 40

So, 25% of 40 is 10

Answer:

X = 31

Step-by-step explanation:

180 = 2x + 9 + 3x +16

180 = 5x + 25

180 + -25 = 5x

155 = 5x

5x/5 = 0 (Cancel out)

155 /5x = 31

X = 31

Check math by :

2 x 31 = 62 + 9 = 71

3 x 31 = 93 + 16 = 109

109 + 71 = 180

Therefore, X = 31

Therfore we can derive the equation:

\(2x+3x+9+16 =180\)

\(5x+25 = 180\)

5x = 155

\(x = 31\)

Answer:

A. (x - 3)

Step-by-step explanation:

x^2 +2x - 15

Factor

What 2 numbers multiply to -15 and add to 2

5*-3 = -15

5 -3 =2

(x+5)(x-3)

The standard form of equation  4x2 = 12 is

4x^2=4^3. This is further explained below.

Generally, The standard form of decimal numbers has the same definition as whole numbers.

In conclusion, the standard form of   4x2 = 12 is

4x^2=4^3

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Answer:

sen 30; cos 60

Step-by-step explanation:

Answer this question by starting at the original point and moving opposite to what the question asks.

Instead of moving down 9 units, starting at (2, -5) move up 9 units.

By doing this, you are now at (2, 4)

Starting at (2,3) move to the left by 4 units.

You end up at ( -2,4)

You can also solve this problem by using addition.

To find the original add/subtract the units from the coordinates (2, -5)

To find the x coordinate: subtract 4 from 2: -2

To find the y coordinate: add 9 to -5: 4

(-2, 4)

4 -(-19) = 23

Step-by-step explanation:

-(- = +

I hope this help ^^

Hey there!

Guide #1

• 2 negatives = positive

• 2 positives = positive

• 1 negative & 1 positive = negative

• 1 positive & 1 negative = negative

Guide #2

• Negatives are BELOW 0

• Positives are ABOVE 0

Guide #3

• Positives are on the RIGHT side of 0 (and on the number line)

• Negatives are on the LEFT side of 0 (and on the number line)

Guide #4

• When dealing with negatives you go down

• When dealing with positives you go up

ANSWERING YOUR QUESTION

4 - (-19)

= 4 + 19

• You start with 19 (because it is the bigger number in this case) and go up 4 spaces to your right

= 23

Therefore, your answer should be: 23

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

1.) f(-2)=g(4)

2.) f(0) = g(-2)

3.) f(-4)=g(-2) and f(4)=g(4)

4.) -9

Step-by-step explanation:

function of f(2) is f(2) = 3(2) + 15 = 21.

Given the function f(x) = 3x + 15, we want to find the value of f(2). To do this, we substitute 2 in place of x in the function.

When we replace x with 2, we get f(2) = 3(2) + 15.

Now, we simplify the expression by performing the multiplication first. Multiplying 3 by 2 gives us 6.

So, we have f(2) = 6 + 15.

Finally, we perform the addition to get the final result. Adding 6 and 15 gives us 21.

Therefore, f(2) = 21, which means that when we plug in 2 for x in the function f(x) = 3x + 15, the result is 21.

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By using these types of data, you can effectively conduct quarterly disaster recovery tests that include role-playing and introduce realism without affecting live operations.

To conduct quarterly disaster recovery tests that include role-playing and introduce as much realism as possible without affecting live operations, you should use the following types of data:

1. Non-sensitive test data: Create a set of test data that closely resembles your live data but does not contain any sensitive or confidential information. This allows you to simulate realistic scenarios without risking exposure of important information.

2. Anonymized data: If possible, use anonymized data from your actual operations. This involves removing or replacing any identifiable information to protect privacy while maintaining the overall structure and characteristics of the data.

3. Data backups: Utilize data backups to replicate your live environment. This ensures that the testing environment is as close to the live environment as possible, allowing for more accurate testing results.

4. Synthetic data: Generate synthetic data that closely mimics your live data, with similar patterns and characteristics. This can be a useful alternative if actual data is not available or suitable for testing purposes.

By using these types of data, you can effectively conduct quarterly disaster recovery tests that include role-playing and introduce realism without affecting live operations.

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Answer:

m angle A = 68deg

Step-by-step explanation:

Since they're complementary, they add up to 90deg

you solve this by first finding x

(4x-28) + (x-2) = 90 >> add the left side

5x-30 = 90              >> add 30 from both sides

5x = 120                    >> divide by 5 on both side to get x alone

x = 24

now you know x is 24, you substitute it in m<A since you're finding the measure of it

(4(24) - 28)

96 - 28

68

you can check by finding the value of m<B (22deg) and adding it to m<A and it will equal to 90deg

The measure of ∠A = 68°.

We have two angles ∠A and ∠B which are complementary of each other.

We have to find the measure of ∠A.

Two angles are said to be complementary if their sum is equal to 90°.

Mathematically -   x + y = 90°

According to the question -

∠A = (4x – 28)°

∠B = (x - 2)°

Now, ∠A and ∠B are Complementary angles. Therefore -

∠A + ∠B = 90°

(4x - 28) + (x - 2) = 90

5x - 30 = 90

5x = 120

x = 24

Therefore →

∠A = (4x – 28)° = (4 x 24 – 28)° = 68°

Hence, the measure of ∠A = 68°.

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Completing the table using equivalent ratios Willka can cover 4.5 m² of the area with 1 - liter paint.

Given :

What are equivalent ratios?

Equivalent ratios are the ratios that express same relation or numbers that are equivalent.

so area covered for 1 paint

13.5 / 3 = 4.5

4.5 for 1 paint

for 10 paint :

Area covered = 4.5 * 10

= 45

Table :

Area covered  ( m^2 )        paint ( L )

13.5                                      3

4.5                                        1

45                                         10

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