6. A part time job offer has the following availability: 4 hours Monday through Wednesday, 5 hours Thursday, and 4 hours Friday. If the hourly wage is $7.50 per hour, how much would you earn for a week of work?


8. Jackie’s food expenses total $350 every month. This takes up exactly 1/6 of her monthly pay. What is her total monthly pay?

There are 11 letters in the word mathematics. The probability of selecting the letter "e" first is 1/11, which is approximately 0.091 in decimal form when rounded to the nearest thousandth.

This is because there is only one "e" in the word mathematics, and we are selecting one letter out of the 11 total letters.

To find the probability that the first letter is "e" in the word "mathematics," follow these steps:

1. Count the total number of letters in the word: There are 11 letters in "mathematics."

2. Count the occurrences of the letter "e": There is 1 "e" in "mathematics."

3. Calculate the probability: Divide the occurrences of "e" by the total number of letters.

Probability = (Occurrences of "e") / (Total number of letters) = 1 / 11

In decimal form and rounded to the nearest thousandth, the probability that the first letter is "e" in the word "mathematics" when arranged randomly is approximately 0.091.

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Answer:

209 cubic mm.

Step-by-step explanation:

Formula for volume of cone:

\(V=\frac{1}{3} \pi r^2 h\)
Now let's plug in the values.
\(V=\frac{1}{3} \pi 5^2 8\)
\(V=\frac{1}{3} \pi 200\)
\(V=\frac{200}{3} \pi\)
\(V=209.4395...\)
Round to the nearest cubic mm and the volume is 209 cubic mm.

Answer:

209.333

Step-by-step explanation:

→ State the area for the volume for a cone

1/3 × π × r² × h

→ Substitute in the numbers

1/3 × 3.14 × 5² × 8

→ Evaluate

209.333

Answer:

60%

Step-by-step explanation:

20 - Candy

* 12 - Chocolate

* 8 - dont know

12/20 × 100 = 60%

According to the table the wavelength that has the least amount of electromagnetic energy is B having a wavelength of 4.0 x 10⁻⁶ m

Radiant energy that moves in waves at the speed of light is called electromagnetic energy. It can also be referred to as radiant energy, electromagnetic radiation, electromagnetic waves, light, or the movement of radiation.

Wavelength is the separation between identical points (adjacent crests) in successive cycles of a waveform signal traveling through space or over a wire.

This length is often stated in meters when using wireless technology (m),

The relationship between a electromagnetic energy and wavelength is in inverse relation. This means that the least wavelength will result to greatest electromagnetic energy

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complete question

(03.05 MC) The table below shows the wavelength of four electromagnetic waves in meters (m).

Electromagnetic Wave      Wavelength

A                                         3.0 x 10² m

B                                         4.0 x 10^-6 m

C                                         1.2 x 10-¹2 m

D                                         2.0 x 10 m

According to the table, which electromagnetic wave has the least amount of energy? ​

Answer:

Step-by-step explanation:

The total amount paid at the end of sixth month is S/78,000. So, the correct answer is (b).  Total amount paid at the end of the nth month is 24,000n + 9,000. So, the correct answer is (b). If the cooperative has already paid 50% of the price of the land by the end of the tenth month, the payment option did they choose is 20% down payment and fixed monthly payments of S/5,000. So, the correct option is (a).

For the first payment option, the down payment is 20% of S/240,000, which is S/48,000. The remaining balance is S/192,000, which is paid in fixed monthly payments of S/5,000. Therefore, at the end of the sixth month, the total amount paid is:

S/48,000 + 6 x S/5,000 = S/78,000

So, the answer is (b) S/78,000.

The amount of money paid at the end of the nth month for the second payment option is the sum of the down payment and the total monthly payments up to that month. The down payment is 10% of S/240,000, which is S/24,000. The total monthly payments up to the nth month is S/9,000 x n. Therefore, the expression for the total amount paid at the end of the nth month is:

S/24,000 + S/9,000 x n = (3S + 8n)/72

So, the answer is (b) 24,000n + 9,000.

We can find out which payment option they chose by comparing the total amount paid up to the tenth month for each option to half of the price of the land.

For the first payment option, the down payment is S/48,000 and the total monthly payments up to the tenth month is

10 x S/5,000 = S/50,000.

Therefore, the total amount paid up to the tenth month is:

S/48,000 + S/50,000 x 10 = S/480,000/25

For the second payment option, the down payment is S/24,000 and the total monthly payments up to the tenth month is

10 x S/9,000 = S/9,000.

Therefore, the total amount paid up to the tenth month is:

S/24,000 + S/9,000 x 10 = S/24,000 + S/900

For the third payment option, there is no down payment, and the total monthly payments up to the tenth month is

10 x S/12,000 = S/1,200.

Therefore, the total amount paid up to the tenth month is:

S/1,200 x 10 = S/12,000

Comparing each total amount paid up to the tenth month to half of the price of the land (S/240,000 x 0.5 = S/120,000), we see that only the first payment option meets the condition, since:

S/480,000/25 < S/120,000

Therefore, the answer is (a) First.

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In a well-constrained problem space:

a. There are relatively a small number of states.

b. Subgoal decomposition is not required.

c. The solution is not always straightforward.

d. All of the states and operators are known.

A well-constrained problem space refers to a problem-solving environment that has clear boundaries and limitations, with well-defined rules, goals, and constraints. In such a space, there are typically a limited number of possible states or configurations that the system can be in, and the problem solver has access to all of the relevant information about the problem and its solution.

However, while a well-constrained problem space may have a relatively small number of states, it does not necessarily mean that the solution is always straightforward or that subgoal decomposition is not required. In fact, in some cases, even a well-constrained problem space can be complex and require considerable effort to solve. Nevertheless, having all of the states and operators known can help simplify the problem-solving process and enable more efficient and effective problem solving.

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Answer:

Drone will take 0.25 hectare per minute to scan the area.

Step-by-step explanation:

By using unitary method,

A search and rescue drone takes 2 minutes to scan the area = 0.5 hectare.

Area scanned by the drone in 1 minute = \(\frac{\text{Total area scanned}}{\text{Total time taken}}\)

                                                                 = \(\frac{0.5}{2}\)

                                                                 = 0.25 hectare per minute

Therefore, drone will take 0.25 hectare per minute to scan the area.

Given

To find:

Explanation:

It is given that,

That implies,

Therefore, for x=-4,

Hence, the value of (g-f)(-4)=-13.

Angles in a triangle add to \(180^{\circ}\).

\(m\angle A+m\angle B+m\angle C=180^{\circ}\\\\9x+29+9-35x+10x+2=180\\\\40-16x=180\\\\-16x=140\\ \\ x=-35/4\\\\\implies m\angle A < 0\)

Therefore, the question is illogical.

There are 10 common characteristics attributed to servant leadership: active listening, empathy, healing, awareness, persuasion, conceptualization, foresight, stewardship, commitment to the growth of people, and community-building.

A Scrum Master is a servant-leader whose focus is on the needs of the team members and those they serve (the customer), with the goal of achieving results in line with the organization's values, principles, and business objectives.

1.  Active listening: Active listening is the practice of preparing to listen, observing what verbal and non-verbal messages are being sent.

2.  Empathy:  the ability to understand and share the feelings of another.

3.  Healing:  the process of making or becoming sound or healthy again.

4.  Awareness:  knowledge or perception of a situation or fact.

5.  Persuasion:  A belief or set of beliefs, especially religious or political ones.

6.  Conceptualization:  The action or process of forming a concept or idea of something.

7. Foresight: The ability to predict or the action of predicting what will happen or be needed in the future.

8. stewardship: The job of supervising or taking care of something, such as an organization or property.

9. Commitment: The state or quality of being dedicated to a cause, activity, etc.

10. Community-building: Community building is a field of practices directed toward the creation or enhancement of community among individuals within a regional area or with a common need or interest.

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Answer:

(x – 4)^2 + (y +10)^2 = 64

Step-by-step explanation:

Recall that the formula for a circle is:  (x – h)^2 + (y – k)^2 = r^2

1. Find the Radius (r): Luckily, we can count the distance since the coordinates have the same y-value. 12 - 4 = 8. So, r^2 = 8^2 = 64

2.  Find h and k. These are the x and y coordinates of the center of the circle. So, h = 4, k = -10

3. Substitute the values in the equation:

(x – 4)^2 + (y – (-10))^2 = 8^2

(x – 4)^2 + (y +10)^2 = 64

Answer:

  (x -4)² +(y +10)² = 64

Step-by-step explanation:

Given a circle through point (12, -10) with center (4, -10), you want its equation.

The equation of a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

You are given the center (h, k) = (4, -10). You only need to know the radius to finish the equation. That will be the value of r that makes the equation true at the given point:

  (x -4)² + (y +10)² = r²

  (12 -4) + (-10 +10)² = r² . . . . . . with (x, y) = (12, -10), the point on the circle

  8² + 0 = r²

The equation of the circle is (x -4)² +(y +10)² = 64.

__

Additional comment

The equation of a circle is essentially a statement of the distance formula. It is telling you that the circle consists of all points that are distance r from the center.

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Answer:

Step-by-step explanation:

Volume of the pyramid :

\(V=\dfrac{x^2*h}{3} =554.9\\\\x^2*h=554.9*3\\\\h=15.1\\\\x^2*15.1=554.9*3\\\\x^2=\dfrac{554.9*3}{15.1} \\\\x=\sqrt{\dfrac{1664,7}{15.1} } \\\\x=\sqrt{110,24503311258278145695364238411...} \\\\x=10,499763478887644993681148554978...\approx{10.50}\)

The axis of symmetry for the graph of the function f(x) = 3x2 + bx + 4 is x = 3/2 , the value of b is -9.

Axis of symmetry is a line that divides an object into two equal halves, thereby creating a mirror-like reflection of either side of the object.

Given

The axis of symmetry for the graph of the function f(x) = 3x2 + bx + 4 is x = 3/2 .

The axis of the symmetry is given by;

\(\rm x=\dfrac{-b}{2a}\)

The value of x is 3/2 and a is 3.

Substitute all the values in the formula

\(\rm x=\dfrac{-b}{2a}\\\\\dfrac{3}{2}=\dfrac{-b}{2 \times 3}\\\\\dfrac{3}{2}=\dfrac{-b}{6}\\\\ -b = \dfrac{6 \times 3}{2}\\\\ b = \dfrac{=18}{2}\\\\b =-9\)

Hence, the value of b is -9.

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Answer:

Volume

Step-by-step explanation:

x axis is always independant y axis is always dependant

Answer:

x = 17 :)

Step-by-step explanation:

90-73=17

Answer:

17 degrees

Step-by-step explanation:

90 degree angle so 90-73=17

Answer:

Step-by-step explanation:

step 1 : finding the area of a floor using trapezius area formula

A= \(\frac{(10+14)*6}{2} = \frac{24*6}{2} =72 m^{2} \\\)

step 2 : the problem said 1 litre of paint convers an area of 2.5 m^2, so let's calculate how many liters of paint are needed to paint the floor

\(\frac{72 m^2}{2.5 m^2} = 28.8 litre\\\)

so we need 28.8 litre to paint the floor

step 3 : Each tin is 5 litre of paint so let's calculate how many tins do we need

n=\(\frac{28.8}{5} = 5.76 \\\)

we can't by 5.76 tins so it's 6 tins

step 4 : Each tin costs 21.99 and now we calculate how much 6 tins cost for us

cost = 6 × 21.99 = 131.94

step 5 : Gary has a budget of 150 and the total cost is 131.94. So, Gary has enough money to buy all the paint he needs.

Answer:

(-4,-4)

Step-by-step explanation:

Since y=x,plug in x for y in equation 2

x²+x²=32

2x²=32

x²=16

x=√16=±4

So one solution is (4,4) and another is (-4,-4)

Answer:

i really cant tell you

Step-by-step explanation:

sorry

Probability which helps Asher to win the the game than Eitan , the possible outcomes should be option c. rolling a sum of dice less than 5.

As given in the question,

Possible outcomes after rolling two dice are:

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

Probability for each optional outcome is given by :

Total number of outcomes = 36

a. Rolling a sum of dice to 4

Number of favourable outcomes = 4

Probability = 4/36

                  = 1/9

b. Rolling sum of dice to 9

Number of favourable outcomes = 4

Probability = 4/36

                  = 1/9

c. Rolling sum of dice that is less than 5

Number of favourable outcomes = 6

Probability = 6/36

                  = 1/6

d. Rolling a sum greater than 5 less than 7

Number of favourable outcomes = 5

Probability = 5/36

e. Rolling a sum greater than 9 less than 11

Number of favourable outcomes = 3

Probability = 3/36

                  = 1/12

f. Rolling a sum greater than 2 less than 4

Number of favourable outcomes = 2

Probability = 2/36

                  = 1/18

Therefore, probability which helps Asher to win the game is given by Option C. rolling a sum of dice less than 5.

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Answer:

The answer is B,C,D

Step-by-step explanation:

trust me im him

Answer:

Step-by-step explanation:

easy y is 120

Answer:

1020 students

Step-by-step explanation:

We have the equation y = 0.1x + 18

If we have a school of 120 staff members, we can just set y = 120 and solve for the predicted total number of students, x.

120 = 0.1x +18

0.1x = 102

x = 1020 students

(a) There are 36 possible outcomes.

(b) There are 9 outcomes possible with odd numbers appearing on each die.

(c) The probability that both dice will show an odd number is 0.25

To determine the number of possible outcomes, we multiply the number of possible outcomes for each die, which is 6. Therefore, the total number of possible outcomes is

6 x 6 = 36

To count the number of outcomes with odd numbers on each die, we need to count the number of ways we can get an odd number on one die and an odd number on the other die. Since there are three odd numbers on each die (1, 3, 5), there are three ways to get an odd number on each die. Therefore, the total number of outcomes with odd numbers on each die is

3 x 3 = 9

To calculate the probability of both dice showing an odd number, we need to divide the number of outcomes with odd numbers on each die (which is 9, as calculated in part (b)) by the total number of possible outcomes (which is 36, as calculated in part (a)). Therefore, the probability of both dice showing an odd number is

9/36

which simplifies to 1/4 or 0.25 when rounded to two decimal places.

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Answer: The lowest possible product would be -6724 given the numbers 82 and -82.

We can find this by setting the first number as x + 164. The other number would have to be simply x since it has to have a 164 difference.

Next we'll multiply the numbers together.

x(x+164)

x^2 + 164x

Now we want to minimize this as much as possible, so we'll find the vertex of this quadratic graph. You can do this by finding the x value as -b/2a, where b is the number attached to x and a is the number attached to x^2

-b/2a = -164/2(1) = -164/2 = -82

So we know one of the values is -82. We can plug that into the equation to find the second.

x + 164

-82 + 164

82

Step-by-step explanation: Hope this helps.

To simplify the expression "a^0b^-2c," we can apply the rules of exponents:

First, any number raised to the power of 0 is equal to 1. Therefore, "a^0" simplifies to 1.

Next, to simplify "b^-2," we can apply the rule that states "a^-n = 1/a^n." In this case, "b^-2" simplifies to "1/b^2."

Finally, we have "1 * 1/b^2 * c," which can be simplified as "c/b^2."

Therefore, the simplified exponents is "c/b^2."

The term "power" refers to the repeated multiplication of a factor, while the term "exponent" refers to the number increased to that base factor. The primary distinction between expression and power is this. The power 32, for instance, has a base of 3 and an exponent of 2.

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The domain and range need to be determined for a given relation, and it will be determined whether the relation represents a function.

To determine the domain and range of a relation, we need to examine the set of inputs (domain) and the set of corresponding outputs (range). The domain is the set of all possible input values for which the relation is defined, while the range is the set of all possible output values that result from the given inputs.

In the context of determining whether the relation represents a function, we need to ensure that each input value from the domain corresponds to a unique output value. If there is any input value that produces multiple output values, the relation is not a function.

To determine the domain, we examine the set of all valid input values. This can be based on restrictions or limitations stated in the problem or the nature of the relation itself. The range, on the other hand, is determined by observing the set of all output values that result from the given inputs.

Once the domain and range are determined, we can check if each input in the domain corresponds to a unique output in the range. If every input has a unique output, the relation represents a function. If there is any input that maps to multiple outputs, the relation does not represent a function.

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Answer: The awnser is B

Step-by-step explanation: ive went over the problem and checked

Answer:

40

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

it's going up by 3. jjjj

Answer:

amoung us somegirls

Step-by-step explanation:

1. ask your mom out to prom before I do

Taking the quotient between the mass of the box and the mass of a single ball, we conclude that there are 64 balls in the box.

We want to find the number of balls in a box weighing 10 kg, we need to convert the weight of one ball to kilograms and then divide the total weight of the box by the weight of one ball.

Given that the weight of one ball is (156 + 1/4) g, we can convert it to kilograms:

Weight of one ball = (156 + 1/4) g = (156.25) g = 0.15625 kg

Next, we divide the total weight of the box (10 kg) by the weight of one ball (0.15625 kg):

Number of balls = 10 kg / 0.15625 kg = 64

there are 64 balls in a box weighing 10 kg.

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1000 km/h / 720 km/h = 1.39 hrs

800 km / hr * 1.39 hrs = 1112 km

An aircraft is cruising at 720 km/h and covered 1000 km. it would travel a distance of 1111.11 km approximately in the same period of time is the speed increased to 800 km/h.

The relationship between speed, time and distance is such that: distance divided by speed will give you the time.

\(v= \frac{s}{t}\),

where,

v = speed

s = distance

t = time

Given,

speed = 720 km/hr

distance = 1000km

time = \(\frac{distance}{speed} = \frac{1000}{720} hr\)

Given the same time,

if speed = 800 km/hr

distance = speed * time = \(\frac{1000}{720} *800 = 1111.11 \ km\)

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The number of degree of freedom for reading the t values is 60 , the correct option is (c) .

In the question ,

it is given that ,

number of items in the sample = 61 items

the mean of the sample is given as 23 ,

we have to find the degree of freedom(df) ,

the degree of freedom(df) can be solved using the formula

degree of freedom(df)  \(=\) (number of observations) - 1

Substituting the values in the formula ,

we get ,

degree of freedom = 61 - 1

= 60

Therefore , The number of degree of freedom for reading the t values is 60 , the correct option is (c) .

The given question is incomplete , the complete question is

In order to determine an interval for the mean of a population with unknown standard deviation a sample of 61 items is selected. The mean of the sample is determined to be 23. The number of degrees of freedom for reading the t value is ?

(a) 22

(b) 23

(c) 60

(d) 61

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