Help me with this. 30 points. Don't put bad answer please.

Answer:

A = 5

A=a+b

2h=2+3

2·2=5

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

The ratio of R68 in the ratio 7: 4 is R43.27 and R24.73 respectively

R68 in the ratio 7 : 4

Total ratio = 7 + 4

= 11

A

= 0.63636363636363 × 68

= R43.2727272727272

Approximately

R43.27

B

= 0.36363636363636 × 68

= R24.7272727272727

Approximately,

R24.73

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Answer:

c

Step-by-step explanation:

166% is also equal to 1.66 as a decimal. 1 2/3 as a decimal is 1.6666 repeating. It can't be 166% because they are equal.

7/3 is equal to 2 1/3. Without converting it to a decimal, you already know 2 is bigger than 1, so option c is your answer.

Answer:

C.

Step-by-step explanation:

7/3 = 2.3 > 1 2/3

The relative frequency of tails in the experiment is 0.44

In a coin flip; the outcome is either a Head(H) or Tail(T)

Since;

Total number of flips = 50

Number of heads = 28

Number of tails = 50 - 28 = 22

Recall :

Relative frequency = Number of preferred outcome / Total frequency

Hence, the relative frequency of tail will be :

Number of tails / total number of flips = 22 / 50 = 0.44

Therefore, the relative frequency of tails in the experiment is 0.44

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Here we have a problem of relative frequency.

We do know that if you perform a given experiment N times (flipping the coin in this case), and a given outcome happens n times, the relative frequency of that event is:

rf = n/N

With this, we will find that the relative frequency of tails is 0.44

We do know that:

The experiment was performed 50 times, then N = 50

The coin came up heads 28 times.

Then the other 22 times the coin came up tails.

We want to get the relative frequency of tails in this experiment, then we have n = 22

Using the general formula, we can see that:

rf = n/N = 22/50 = 0.44

The relative frequency of tails in this experiment is 0.44

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Answer:

6

Step-by-step explanation:

Answer:

Thomas will need 24 cups of lemon juice.

Step-by-step explanation:

There are 4 quarts in every gallon.

12 x 4 = 48

2 cups of lemon juice for every 2 quarts of water.

48 / 2 = 24

Hope This Helps!

I would need a bit more to answer that one my friend

Answer: Read One Piece and Check Explanation.

Step-by-step explanation: Yes, Mr Thapelo's claim is valid.

Let's assume that the salary of the messenger is $1,000.

Therefore, the salary of the five additional cleaners should be 10 x $1,000 = $10,000.

Answer:

Explanation:

1.) Rewrite √24 = \(\sqrt{4*6} = 2\sqrt{6}\)   Rewrite √54 =\(\sqrt{9*6}= 3\sqrt{6}\)

Divide both terms by the denominator; √6 cancels. 2-3 = -1

2.) Rewrite as \(\frac{3}{2\sqrt{5}}\) ×\(\frac{10\sqrt{2}}{3\sqrt{5}}\)  The 3's cancel.  10/2 = 5√2 in the numerator.

√5 × √5 = 5 in the denominator.  The 5's cancel.

That leaves √2 ≈1.4142

3.) Divide the terms in the numerator by the term in the denominator.

√2's cancel.  10π/2 = 5π   8π/2 = 4π  

Subtract and we are left with π = 3.14159

4.) \(\pi\sqrt{\frac{5}{3}}\cdot\pi\sqrt{\frac{3}{5}}\)  The square roots are reciprocals. They multiply to 1

We are left with π × π = π² ≈  9.8696

Answer:

It goes...The second one, fourth one, First one, then the third one

Step-by-step explanation:

I took the test a while ago

150 degrees is the measure of the angle x from the figure

The given diagram is a circle and the angle x and 30 degrees can be seen to be on a straight line.

The sum of the measure of angle on a straight line is 180 degrees, hence:

x + 130 = 180

Subtract 130 degrees from both sides to have:

x + 30 - 30 = 180 - 30
x = 180 - 30
x = 150 degrees

Hence the measure of the angle x from the given equation is 150 degrees

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Answer:

$6000

Step-by-step explanation:

hope it helps correct me if i am wrong

Answer:

3 each if you're fat, but the answer is 4 per person.

Step-by-step explanation:

Step-by-step explanation:

20-16/16 x100

4/16 X 100 = 25%

\(\\ \tt\hookrightarrow p(2)=3(2)^6-5(2)^5-2+7\)

\(\\ \tt\hookrightarrow p(2)=3(64)-5(32)+5\)

\(\\ \tt\hookrightarrow p(2)=192-160+5\)

\(\\ \tt\hookrightarrow p(2)=32+5\)

\(\\ \tt\hookrightarrow p(2)=37\)

Option B is correct

Answer:

B. 37

explanation:

Just replace x with the given value unit.

→ p(x)= 3x^6 - 5x^5 - x + 7

→ p(2)= 3(2)^6 - 5(2)^5 - (2)+ 7

→ p(2) = 3(64) - 5(32) - 2 + 7

→ 192 - 160 - 2 + 7

→ 37

Answer:

Mean - 1.5

Median - 1.5

Step-by-step explanation:

Median = middle number

Means = all numbers added up and divided by how many are there

For the given arena's tickets sales , the round of figure of all the sales to the nearest thousand is given by :

   Events                                         Nearest thousand

As given in the question,

Rules to round of nearest thousand are:

Check the near by hundred digit :

Given is the actual ticket rates of the different events tickets sales ,round off to the nearest thousand is given by:

 Events                                         Nearest thousand

Therefore, For the given arena's tickets sales , the round of figure of all the sales to the nearest thousand is given by :

   Events                                         Nearest thousand

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Answer:

The slope is m=0

Explanation:But since the y-coordinates of the points are equal, we can find the slope easier than just by using above formula.

Explanation:But since the y-coordinates of the points are equal, we can find the slope easier than just by using above formula.If y-coordinates are equal and x-coordinates are not equal (as in our case), then the slope equals 00 (the line is horizontal).

Answer: 1  13/25

Step 1: Write down the percent divided by 100 like this:

152% = 152/100

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As 152 is an integer, we don't have numbers after the decimal point. So, we just go to step 3.

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(152,100) = 4. So,

(152÷4)/(100÷4) = 38/25 when reduced to the simplest form.

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 152/100 is also equal to 1 13/25 when expressed as a mixed number.

Answer:

The answer is D

Hello! :)

Equation: 1/4 + 1/3 + 3/4

    2. make the denominators the same as the LCD: \(\frac{1*3}{4*3} + \frac{1*4}{3*4} + \frac{3*3}{4*3}\)

    3. simplify: 3/12 + 4/12 = 9/12

    4.  join the denominators: \(\frac{3+4+9}{12}\)

    5.  simplify: 16/12

    6.  simplify:  4/3

    7.  convert to mixed fraction: 1 1/3

Hope this helps! Have a wonderful day! :D

The expected value of x is (m+1)/2, and m must be a positive integer.

The expected value of x is the average value of x that we would expect to get if we selected an integer from the set {1, 2, ..., m} many times. To find the expected value of x, we multiply each possible value of x by its probability of being selected and then sum these products. In this case, each integer in the set {1, 2, ..., m} has an equal probability of being selected, so the expected value is (1 + 2 + ... + m) / m = (m(m+1)) / 2m = (m+1) / 2. So the expected value of x is (m+1)/2, and m must be a positive integer.

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The simplified expression is \(-4x^2 + 3x + 1\), which is a quadratic polynomial. Option D.

To simplify the expression \((8x^2 + 3x) - (12x^2 - 1)\), we can distribute the negative sign to each term within the parentheses:

\(8x^2 + 3x - 12x^2 + 1\)

Next, we can combine like terms by adding or subtracting coefficients of similar powers of x:

\((8x^2 - 12x^2) + 3x + 1\)

Simplifying further, we have:

\(-4x^2 + 3x + 1\)

The resulting polynomial \(-4x^2 + 3x + 1\) is a quadratic polynomial since it has a highest power of x^2 (the exponent of x is 2), which is\(-4x^2.\)Quadratic polynomials are polynomials of degree 2 and can be represented by a parabola when graphed.

In summary, the simplified expression \((8x^2 + 3x) - (12x^2 - 1)\) simplifies to \(-4x^2 + 3x + 1\) , which is a quadratic polynomial. So Option D is correct

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Note the complete question is

Using DeMoivre’s theorem, the answer in regular form would be (5 + 5√3i)⁷ = -5000000 + 8660254.03i

The De Moivre's Theorem is used to simplify the computation of powers and roots of complex numbers and is used in together with polar form.

Convert the complex number to polar form. The polar form of a complex number is z = r(cos θ + isin θ),

r = |z|  magnitude of z

it becomes

r = √((5)² + (5√3)²) = 10

θ = arg(z) is the argument of z.

θ = atan2(b, a) = atan2(5√3, 5) = π/3

(5 + 5√3i) = 10 × (cos π/3 + i sin π/3)

De Moivre's theorem to raise the complex number to the 7th power

(5 + 5√3i)⁷

= 10⁷× (cos 7π/3 + i sin 7π/3)

= 10⁷ × (cos 2π/3 + i sin 2π/3)

Convert this back to rectangular form:

Real part = r cos θ = 10⁷× cos (2π/3) = -5000000

Imaginary part = r sin θ = 10⁷ × sin (2π/3) = 5000000√3 = 8660254.03i

∴  (5 + 5√3i)⁷ = -5000000 + 8660254.03i

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Answer:10^7 (1/2 - √3/2 i)

Step-by-step explanation:

To use DeMoivre's theorem, we first need to write the number in polar form. Let's find the magnitude and argument of the number:

Magnitude:

|5 + 5√(3i)| = √(5^2 + (5√3)^2) = √(25 + 75) = √100 = 10

Argument:

arg(5 + 5√(3i)) = tan^(-1)(√3) = π/3

So the number can be written in polar form as:

5 + 5√(3i) = 10(cos(π/3) + i sin(π/3))

Now we can use DeMoivre's theorem:

(5 + 5√(3i))^7 = 10^7 (cos(7π/3) + i sin(7π/3))

To simplify, we need to find the cosine and sine of 7π/3:

cos(7π/3) = cos(π/3) = 1/2

sin(7π/3) = -sin(π/3) = -√3/2

Explanation:

So the final answer in rectangular form is:

10^7 (1/2 - √3/2 i)

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

\(y = 800\) ---- Band A

\(y = 450 + 1.25x\) --- Band B

Step-by-step explanation:

Given

Band A:

\(Charges = \$800\) per student

Band B:

\(Charges = \$450\)

\(Rate = \$1.25\) per student

Required

Write an equation for the system?

For band A, the given charges is irrespective of number of students.

So, the total cost y is:

\(y = 800\)

For band B, the total y is calculated as thus:

y = Base Charges + Rate * Number of students (x)

\(y = 450 + 1.25 * x\)

\(y = 450 + 1.25x\)

So, the charges for the bands are:

\(y = 800\) ---- Band A

\(y = 450 + 1.25x\) --- Band B

To prove that line segment a is parallel to line segment d, based on the given information, we can utilize the properties of perpendicular and parallel lines.

Given that a is perpendicular to b and b is perpendicular to c, we know that angles formed between a and b, as well as between b and c, are right angles. Let's denote these angles as ∠1 and ∠2, respectively.

Now, since c is parallel to d, we can conclude that the corresponding angles ∠2 and ∠3, formed between c and d, are congruent.Considering the fact that ∠2 is a right angle, it can be inferred that ∠3 is also a right angle.

By transitivity, if ∠1 is a right angle and ∠3 is a right angle, then ∠1 and ∠3 are congruent.Since corresponding angles are congruent, and ∠1 and ∠3 are congruent, we can deduce that line segment a is parallel to line segment d.

Thus, we have successfully proven that a is parallel to d based on the given information and the properties of perpendicular and parallel lines.

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Answer:

29 days

Step-by-step explanation:

1200(1.024)^n = 2400

(1.024)^n = 2

n log 1.024 = log 2

n = (log 2) / log1.024 = 29 days

Answer:

Let's assume that the smaller number is x and the larger number is y.

From the problem, we can write:

y = 2x + 2 (since the quotient and remainder when y is divided by x are both equal to 2)

5x = 2(y - 2) (since the quotient and remainder when 5x is divided by y are both equal to 2)

Substituting the first equation into the second equation, we get:

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

5x = 4x + 4

x = 4

Substituting x = 4 into the first equation, we get:

y = 2x + 2 = 10

Therefore, the two numbers are 4 and 10

Answer:

16/7 in simplest form

2.285714286 as a decimal

2 2/7 as an improper fraction

Answer:

It will take Abbey 10 seconds to move 8.5 meters

Step-by-step explanation:

100 cm makes one meter

So 85 cm=85/100

85 cm. = 0.85 meter

So Abbey travels 0.85 meters every second

One second= 0.85 meters

Let the unknown time be x

X= 8.5 meters/0.85

X= 10 seconds

It will take Abbey 10 seconds to move 8.5 meters