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Answer:

180 - 127 = 53° The supplement of 127° is 53°. 127° is already greater than 90°. Therefore, there is no complement.

Step-by-step explanation:

Answer:

No, these two numbers are not complementary. 180 - 127 = 53° The supplement of 127° is 53°. 127° is already greater than 90°. Therefore, there is no complement.

Step-by-step explanation:

Answer:

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Find the difference of the initial and used amounts:

If a bag has orange marbles, the number of red marbles it will contain would be also the same as the number of orange marbles.

The Dante's Marble Company sells bags of marbles that contains different types of marbles such as both the red and the orange marbles I'm a particular order.

In a bag of marbles, every red marbles = every orange marbles.

Therefore the number of red marbles found in a bag will be the same amount of orange marbles found in the same bag.

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The round trip distance in miles from city 1 to city 3 is given as follows:

30 miles.

The matrix corresponding to the distances between each of the cities is given by the image presented at the end of the answer.

Looking at row 1, column 3, we have that the distance from city 1 to city 3 is of 15 miles.

For the round trip distance, we have to go back from city 3 to city 1, more 15 miles, hence the distance is given as follows:

2 x 15 = 30 miles.

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The annualized return for the entire period is the closest to 10.5%.

To calculate the annualized return for the entire period, we need to consider the returns for each year and the return in the first quarter of Year 4. Since the returns are given for each period, we can use the geometric mean to calculate the annualized return.

The formula for calculating the geometric mean return is:

Geometric Mean Return = [(1 + R1) * (1 + R2) * (1 + R3) * (1 + R4)]^(1/n) - 1

Where R1, R2, R3, and R4 are the returns for each respective period, and n is the number of periods.

Given the returns:

Year 1 return: 5% or 0.05

Year 2 return: 12% or 0.12

Year 3 return: -6% or -0.06

First quarter of Year 4 return: 2% or 0.02

Using the formula, we can calculate the annualized return:

Annualized Return = [(1 + 0.05) * (1 + 0.12) * (1 - 0.06) * (1 + 0.02)]^(1/3) - 1

Annualized Return = (1.05 * 1.12 * 0.94 * 1.02)^(1/3) - 1

Annualized Return = 1.121485^(1/3) - 1

Annualized Return ≈ 0.105 or 10.5%

Therefore, the annualized return for the entire period is approximately 10.5%.

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Answer:

Step-by-step explanation:

\(y=29\times2^x\\put~x=x+1\\y1=29\times2^{x+1}=29\times2^x\times2=y\times 2\\y_{n+1} =2y_{n}\)

Answer:

A,B, and C are all correct

Step-by-step explanation:

Rigid transformations do not change figures except for where they are at.

Answer:

hasn't done nothing but I think it is matrix

1968

1) Evaluating this expression, using the exponent's properties:

Note that applied the division of the same base powers, subtracting their exponents, then we operated.

Answer:

dh/dt =  0.4 m/min

Step-by-step explanation:

The volume of the cone is:

V(c) = (1/3)*r² *h              if always  h = 3r    then    r = h/3

The volume of the cone as a function of h will be:

V(h)  =  (1/3)* (h/3)²*h

V(h) =  (1/27)*h³

The increasing rate of the volume is equal to the rate of sand added the:

D(V)/dt   = (1/27)*3*h²*dh/dt

D(v) / dt  =  10 m³/min

h =  15 m      and   dh/dt is the rate of increasing of the height

By substitution

10 m³/min  = ( 1/9)* 225 * dh/dt  (m²)

dh/dt =  90 / 225   m/min

dh/dt =  0.4 m/min

The new balance is a credit of $ 48.78.

Since Ben Shield's credit card uses the unpaid-balance method to compute the finance charge at a monthly periodic rate of 1.875%, and during the monthly billing cycle, Ben charged $ 238.75, made a payment of $ 300.00, and had a finance charge of $ 7.99, to find his new balance, the following calculations must be performed:

Therefore, the new balance is a credit of $ 48.78.

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The value of y is less than or equal to 0 (y ≤ 0).

What is inequality?

In mathematics, inequalities describe the relationship between two values that are not equal. Equal means to be equal, not. The "not equal symbol (≠)" is typically used to indicate that two values are not equal. But different inequalities are used to compare the values to determine whether they are less than or greater than.

Given:

4y + 1/5 ≤ 4/5

We have to find the value of y.

Subtract 1/5 from both sides,

4y + 1/5 - 1/5 ≤ 4/5 - 1/5

               4y ≤ 3/5

Multiply both sides by 1/4

4y x 1/4 ≤ 3/5 x 1/4

y ≤ 3/20

y ≤ 0.15

Hence, the value of y is less than or equal to 0 (y ≤ 0).

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Answer:

Step-by-step explanation:

a. No, he can't buy 12 packs of baseball cards because 12 packs * $1.70/pack = $20.40, which is more than $20.

b. Yes, he can buy 30 packs of gum because 30 packs * $0.60/pack = $18.00, which is less than or equal to $20.

c. He will still have $6.75 after he buys 5 packs of bouncy balls because $20.00 - (5 packs * $3.15/pack) = $20.00 - $15.75 = $6.75

In the table you provided, you can see the cost of different numbers of packs of baseball cards, gum and bouncy balls. This can help Dante to decide how much to spend on each item and how much he will save.

Answer:The two major areas of statistics are known as descriptive statistics, which describes the properties of sample and population data, and inferential statistics, which uses those properties to test hypotheses and draw conclusions.

Answer:

w = 120

x = 60

y = 120

z = 60

Step-by-step explanation:

w = 120 (vertically opposite angles)

sum of co interior angles is 180

⇒ w + x = 180 and x + y = 180

w + x = 180

⇒ 120 + x = 180

⇒ x = 180 - 120

⇒  x = 60

x + y = 180

⇒  60 + y = 180

⇒   y = 180 - 60

⇒   y = 120

z = x (corresponding angles)

z = 60

Answer:(-2,0) (3,5)

Step-by-step explanation:check the picture attached for steps.hope it helps ❤️

Answer:

50

Step-by-step explanation:

When parethesis are next to each other than you need to multiply them.

- times - is positive so -5*--10 would be 50.

The hypotheses to test if this sample indicates a significant change in the average number of hours spent studying is:

0: µ = 14 (null hypothesis)

1: µ ≠ 14 (alternative hypothesis)

Option B is the correct answer.

We have,

The null hypothesis states that the population mean for the number of hours spent studying by full-time students at 4-year colleges in the United States is equal to 14 hours per week,

while the alternative hypothesis states that it is different from 14 hours per week.

By using a two-tailed test, we are checking for any significant change in either direction, whether the average number of hours spent studying has increased or decreased from 14 hours per week.

Thus,

The hypotheses to test if this sample indicates a significant change in the average number of hours spent studying is:

0: µ = 14 (null hypothesis)

1: µ ≠ 14 (alternative hypothesis)

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Answer:

AC ≅ AE

Step-by-step explanation:

According to the SAS Congruence Theorem, for two triangles to be considered equal or congruent, they both must have 2 corresponding sides that are of equal length, and 1 included corresponding angle that is of the same measure in both triangles.

Given that in ∆ABC and ∆ADE, AB ≅ AD, and <BAC ≅ DAE, the additional information we need to prove that ∆ABC ≅ ADE is AC ≅ AE. This will satisfy the SAS Congruence Theorem. As there would be 2 corresponding sides that are congruent, and 1 corresponding angle in both triangles that are congruent to each other.

Answer:

A).   AC ≅ AE

Step-by-step explanation: took test on edge

Answer:

I think it's the third one.

Answer:

C

Step-by-step explanation:

Answer:

9.    \(35^{2}\) or 1225

12.    \(15^{2}\)  or  225

Step-by-step explanation:

Put 5 instead of b

9.   \((7b)^{2}\)

   = \((7 * 5)^{2}\)

  = \(35^{2}\) or 1225

12.  \((3b)^{2}\)

    = \(( 3 * 5)^{2}\)

    = \(15^{2}\)  or  225

3rd one is the answer

Answer:

72.5 is greater than  1 * 50 (50) but less than 2 * 50 (100)

Step-by-step explanation:

First, let's figure out what 145% of 50 is. A percentage is a ratio or fraction of 100. So, 1 is 100% .5 is 50% .25 is 25%. Now that being said, let's find out how to find the percentage of a number.

To do that, you need to multiply the percentage & 50. So...

\(1.45 * 50=72.5\)

Now, lets compare with the other options.

72.5 is greater than 2*50 (100) but less than 3 * 50 (150) ❌

72.5 is greater than 3 * 50 (150) ❌

72.5 is greater than 0 but less than 1 * 50 (50)❌

72.5 is greater than  1 * 50 (50) but less than 2 * 50 (100) ✅

The solution to the equation is x = 2 7/18

From the question, we have the following parameters that can be used in our computation:

3x + 2/3 =7 5/6

Solve the equation by first subtracting 2/3 from each side

So, we have

3x = 7 1/6

Divide both sides of the equation by 3

This gives

x = 2 7/18

Hence, the solution is 2 7/18

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Answer: 14ex

Step-by-step explanation:

Answer:

\(Probability = \frac{845}{5832}\)

Step-by-step explanation:

Given

Two standard dice

Required

Probability that the outcome will be greater than 8 for the first time on the third roll

First, we need to list out the sample space of both dice

\(S_1 = \{1,2,3,4,5,6\}\)

\(S_2 = \{1,2,3,4,5,6\}\)

Next, is to list out the sample when outcome of both dice are added together\(S = \{2,3,4,5,6,7,3,4,5,6,7,8,4,5,6,7,8,9,5,6,7,8,9,10,6,7,8,9,10,11,7,8,9,10,11,12\}\)

Next, is to get the probability that an outcome will be greater than 8

Represent this with P(E)

\(P(E) = \frac{Number\ of\ outcomes\ greater\ than\ 8}{Total}\)

\(P(E) = \frac{10}{36}\)

\(P(E) = \frac{5}{18}\)

Next, is to get the probability that an outcome will noy be greater than 8

Represent this with P(E')

\(P(E) + P(E') = 1\)

\(P(E') = 1 - P(E)\)

\(P(E') = 1 - \frac{5}{18}\)

\(P(E') = \frac{18 - 5}{18}\)

\(P(E') = \frac{13}{18}\)

Now, we can calculate the required probability;

Probability of a number greater than 8 first on the third attempt is:

Probability of outcome not greater than 8 on the first attempt * Probability of outcome not greater than 8 on the second attempt * Probability of outcome greater than 8 on the third attempt

Mathematically;

\(Probability = P(E') * P(E') * P(E)\)

Substitute values for P(E) and P(E')

\(Probability = \frac{13}{18} * \frac{13}{18} * \frac{5}{18}\)

\(Probability = \frac{13 * 13 * 5}{18 * 18 * 18}\)

\(Probability = \frac{845}{5832}\)

The quadrilateral you're describing is a Kite. A kite is a quadrilateral with two pairs of consecutive congruent sides, and its diagonals meet at a right angle.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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