Express each of the following in km/h.
(a) 8.4 km/min (b) 315 m/s
(c) 242 m/min (d) 125 cm/s
​

Answer:

x=3y

y=x

3

Step-by-step explanation:

x-3y=2 equation 1

-2x+6y=2 equation 2

x-3y= -2x+6y

x+2x=6y+3y

3x=9y

x=3y

x-3y= 2

3y-3y=2

0≠2

-2x+6y=2

-2(3y)+6y=2

-6y+6y=2

0≠2

Answer:

27

Step-by-step explanation:

There are 45 students in total and 18 want to continue living in the jungle

45-18=27

Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20

The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.

Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.

If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).

If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].

Pencils for sale

30p each

Pack of 10 pencils for £2

Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.

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The end behavior of the function is as x tends to infinity, f(x) tends to zero. It is power function.

The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.

The degree and the leading coefficient of a polynomial function given is determine the end behavior of the graph.

Given that function has a vertical asymptote at x = -5 and x = 3 , a point discontinuity at x = 2.

The end behavior of f(x) goes to 0 as x goes to negative infinity and f(x) goes to 0 as x goes to positive infinity.

The domain is (-inf, -5)U(-5, 2)U(2, 3) U (3,inf).

Hence, we can conclude that the end behavior of the function is as x tends to infinity, f(x) tends to zero.

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Answer:

C.

Step-by-step explanation:

because x value cannot be repeated in an ordered pair

To calculate the merit increase based on your annual review score, we can use the given information that merit increases start at 0.5% for a score of 2.6 and increase by 1% every 0.4 points.

First, we need to determine the difference between your score and the starting score of 2.6:

3.4 - 2.6 = 0.8

Next, we divide this difference by 0.4 to determine the number of 0.4-point intervals:

0.8 / 0.4 = 2

Since each 0.4-point interval corresponds to a 1% increase, we multiply the number of intervals by 1% to find the total increase:

2 * 1% = 2%

Therefore, you will be receiving a merit increase of 2%.

The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

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Answer:

A True

Step-by-step explanation:

\(4^{3} x ^{3} + 5^{3} \)

Answer:

1.1

Step-by-step explanation:

In this image, we can see that every box, we add 0.2

From 0.1 to 0.3, we add 0.2

We continue with this pattern for the rest of the boxes

When adding decimals, you can imagine it like you are adding normal numbers, and that you are carrying extra (more than 9) to the next column in the same way.

{column/place value}

At first, it might seem like adding 0.2 to 0.9 would result in 0.11, but let's think that through a little bit more. We know that 0.1 is less than 0.2, so, it doesn't make sense for that to be the sum.

Instead, we have to carry the 11 over to the other side of the decimal. (This is because each place value is equal to 10 of the value to the right. If we add digits in the ones place that add up to 10, we carry the "1" over to the right, into the tens place.)

So, we carry the "1" from 11 to the one's place. Now, we are left with

1.1

(hope this helps!! decimals can be tricky at first)

Step-by-step explanation:

How do you write the vertex of an absolute value equation?

f (x) = - | x + 2| + 3 In general, the graph of the absolute value function f (x) = a| x - h| + k is a "V" with vertex (h, k), slope m = a on the right side of the vertex (x > h) and slope m = - a on the left side of the vertex (x < h).

How do you write an absolute value equation?

Image result for Write an equation of an absolute value that has a vertex of (6,2) and x intercepts of 3 and 9

More generally, the form of the equation for an absolute value function is y=a| x−h |+k.

Answer:

0.7

Step-by-step explanation:

This one is simply pretty easy. the 7 in this is in the tenths place, and the 1 in this is in the hundredths place

Answer:

it would be a fraction  18.333333333

Step-by-step explanation:

Answer:

B. 60 cm²

Step-by-step explanation:

The formula for the area of a trapezoid is: \(\frac{1}{2}(b_{1} + b_{2} )h\)

Plugging in the given values, we can solve:

\(\frac{1}{2} (13+7)(6)\\\\\frac{1}{2}(20)(6)\\\\10(6)\\\\= 60\)

hope this helps!

Answer:

1

Step-by-step explanation:

The probability of this happening would be a 1 when placing a value between zero and one inclusive. One in this case would indicate a 100% probability. This is the case because in the question it is stated that it is "certain" that you will get 2 kings when selecting 50 cards, this means that no matter what it will happen every time 50 cards are drawn, thus making the probability 100%. If the question were phrased differently such as "what is the probability of getting 2 kings from 50 cards drawn?" then the probability would be 0.04 or 4% which is 2/50.

Using probability concepts, it is found that the likelihood is of 1.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

A few observations regarding probabilities are important.

In this problem, you are certain to get 2 Kings when selecting 50 cards from a shuffled deck, hence the likelihood is of 1.

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Answer:right scalene

Step-by-step explanation:

Answer:

makes no sense

Step-by-step explanation:

The probability of rolling exactly three fours in four rolls of a fair die is 15/1296, which can be simplified to 5/432.

To find the probability of rolling exactly three fours in four rolls of a fair die, we need to consider the possible outcomes and calculate the probability of each outcome.

The total number of possible outcomes when rolling a fair die four times is 6^4 = 1,296. This is because each roll has six possible outcomes (numbers 1 to 6), and there are four rolls in total.

To calculate the probability of getting exactly three fours, we need to determine the number of favorable outcomes. In this case, we have to consider the different positions in which the three fours can appear. Let's denote F as a four and X as any other number:

1. FFXF

2. FFXF

3. FFFX

For each of these cases, the probability of getting a four is 1/6, and the probability of getting any other number is 5/6. So, for each case, the probability is (1/6) * (1/6) * (1/6) * (5/6) = 5/1296.

Since we have three cases, we multiply the probability of each case by three, resulting in a probability of (5/1296) * 3 = 15/1296.

In conclusion, the probability of obtaining exactly three fours in four rolls of a fair die is 5/432.

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The value of common ration r is 4.

Given that,

a₁ = 9

a₅ = 2304

We know that,

A geometric sequence  is a sequence in which each term (except from the first term) is multiplied by a fixed amount to obtain the following term.

The following term in the geometric sequence must be obtained by multiplying it by a set term (referred to as the common ratio), and the previous term in the sequence can be obtained by dividing it by the same common ratio.

Since we know that nth term of GP is,

\(a_{n}\) = a₁ \(r^{n-1}\)

Therefore,

a₅ = a₁ \(r^{4}\)  = 2304

⇒  9 x \(r^{4}\)  = 2304

⇒        \(r^{4}\)  = 256

⇒           r = 4

Hence, r = 4

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Answer:

Three points are (0,-5.5), (-1,-3), (-2.2,0) and graph is shown below.

Step-by-step explanation:

The given equation is

\(-2y=5x+11\)

We need to find three points that solve the equation.

Put x=0,

\(-2y=5(0)+11\)

\(-2y=11\)

\(y=-5.5\)

Put x=-1,

\(-2y=5(-1)+11\)

\(-2y=6\)

\(y=-3\)

Put y=0,

\(-2(0)=5x+11\)

\(5x=-11\)

\(x=-2.2\)

So, three points (0,-5.5), (-1,-3) and (-2.2,0) are the solutions of the given equation.

Plot these points on a coordinate plane and connect them by a straight line as shown below.

Answer:

\(\frac{5^{-5}}{5^8} = 5^{-13}\)

Step-by-step explanation:

Given

\(\frac{5^{-5}}{5^8}\)

Required

Express as \(5^n\)

We have:

\(\frac{5^{-5}}{5^8}\)

Apply second law of indices

\(\frac{a^m}{a^n} = a^{m-n}\)

So, we have:

\(\frac{5^{-5}}{5^8} = 5^{-5-8}\)

\(\frac{5^{-5}}{5^8} = 5^{-13}\)

Answer:

$18,750

Step-by-step explanation:

Take the earnings per week times the number of weeks

50 * 375

18,750

Answer:

$18,750

Step-by-step explanation:

If we want to find the nurse's aide's earnings for the year, we have to multiply her weekly salary by the number of weeks she worked.

weekly salary * number of weeks

She earns $375 per week and she worked for 50 weeks.

$375*50 weeks

375*50

Multiply the 2 numbers

18,750

Her total earnings for the year are $18,750

A cone with a diameter of 16 centimeters has a volume of 320π cubic centimeters, the height of the cone is 15 cm.

A cone should be emptied at a time after being filled with water. The cylinder is filled to a third with each cone. Since there are three of them, the cylinder will be filled. As a result, the volume of a cone is equal to one-third of the volume of a cylinder.

Cone volume is calculated using the method V=1/3πhr².

Given that,

diameter(d) = 16 cm

radius (r) = d/2 = 8 cm

volume = 320π cubic centimeters

πr²h/3 = 320π

or, [π × (8)² × h]/3 = 320π

or,  h = (3 × 320)/(8)²

or, h = 15 cm

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Answer:  D

Step-by-step explanation:

Step-by-step explanation:

The side measures of choices A and C do not form a triangle of any sort.

The angle measures of choice B mean the remaining angle is ...

 180° -110° -35° = 35°

Two of the angles are the same measure, so the triangle will be isosceles, not scalene. No scalene triangle can be formed with those angle measures.

__

The angle measures of choice D mean the remaining angle is ...

 180° -20° -80° = 80°

Two of the angles are the same measure, so an isosceles triangle can be formed as described in choice D.

Answer:

3.94

Step-by-step explanation:

3.944     rounded to nearest hundredth  = 3.94    becuase the thousandth digit is <5  you do not change the hundredth

Answer:

Therefore, the Panthers had a better overall record for the season, with a total of 212 points earned compared to the Cowboys' total of 173 points.

Step-by-step explanation:

To compare the measures of center, we can calculate the mean and median points earned by each team:

Panthers: Mean = 212/15 = 14.13 points, Median = 14 points

Cowboys: Mean = 173/15 = 11.53 points, Median = 10 points

Based on these calculations, we can see that the Panthers have a larger mean value of about 14.13 points compared to the Cowboys' mean value of about 11.53 points. However, the median value for both teams is less useful for comparison since they are only one point apart. Therefore, we can conclude that the Panthers had the better overall record for the season based on both the total points earned and their larger mean value.

So, the answer is Panthers; they have a larger mean value of about 14.8 points (Option C is incorrect as the mean value of Panthers is approximately 14.13 and not 14.8).

Answer:

D.6x-3

Step-by-step explanation:

we have , (5+4x)+(2x-8)

              =5+4x+2x-8

              =(4x+2x)+(5-8)

              =6x-3