there are 538 jelly beans in a bowl hector and Michael decided to share the jelly beans how many jelly beans do Michael and hector get? Their mom tells them they can not eat all the jelly beans at once. They can each eat an equal amount of jelly beans for four days. How many jelly beans do hector and Michael eat each day for four days​

Answer:

Step-by-step explanation:

[tex]\displaystyle\\ x^8-\frac{1}{81} \\\\x^8-\frac{1}{3^4} =\\\\x^8-(\frac{1}{3})^4 =\\\\x^{4*2}-(\frac{1}{3})^{2*2}= \\\\(x^4)^2-((\frac{1}{3} )^2)^2=\\\\(x^4-(\frac{1}{3})^2)(x^4+(\frac{1}{3} ) ^2)=\\\\(x^{2*2}-(\frac{1}{3})^2)(x^4+\frac{1^2}{3^2} )=\\\\((x^2)^2-(\frac{1}{3})^2)(x^4+\frac{1}{9})=\\\\(x^2-\frac{1}{3} )(x^2+\frac{1}{3})(x^4+\frac{1}{9})[/tex]

Clare will have traveled 9 miles in 45 minutes.

So, Clare is riding her bike at a speed of 12 miles per hour.

Distance traveled in 45 minutes or 45/60 hours at the same speed will be = Speed Time

Therefore, Clare will have traveled 9 miles in 45 minutes.

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Equation of the line in point slope form passing through (-10,8) for the given coordinates (-10,8), (-5, 7) , (10,4), (15,3) of linear equation  is

(y - 8)=(-1/5)(x+ 10).

As given,

Given points of linear equation: (-10,8), (-5, 7) , (10,4), (15,3)

Consider (x₁, y₁)=(-10,8) and (x₂ ,y₂)=(-5,7)

Slope 'm'=(y₂-y₁)/(x₂-x₁)

                =(7-8)/(-5+10)

                =-1/5

Equation of line passing through (-10,8) in point slope form:

y-y₁=m(x-x₁)

⇒(y -8)=(-1/5)(x+10)

⇒y=1/5(-x+30)

Therefore, equation of the line in point slope form passing through (-10,8) for the given coordinates (-10,8), (-5, 7) , (10,4), (15,3) of linear equation  is

(y - 8)=(-1/5)( x + 10).

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Answer:

a = 3

Hope this helps :)

Explanation and Check part below.

Step-by-step explanation:

1. Isolate the variable by doing the inverse operation which is in this case subtracting 2 on both sides of the equation.

a + 2 = 5

- 2 - 2

a = 3

Check:

1. Substitute a with the solution 3.

3 + 2 = 5

5 = 5 ✓

As a result, 95% of the students had grade point averages ranging from 1.83 to 3.39.

A normal distribution is a data set design in which the majority of values cluster around the middle of the range and the remainder taper off symmetrically toward either end.

The normal distribution is also known as the bell curve because the probability density graph resembles a bell. It is also known as the Gaussian distribution, after German mathematician Carl Gauss, who described it initially.

A bell-curve distribution is a normal Distribution.

Let X be the grade point averages of undergraduate students at one university.

X ~ Normal Distribution(2.61,(0.39)2)

P(1.83 < X < 3.39)

= P(X < 3.39) - P(X < 1.83)

= P((X - μ)/σ < (3.39 - 2.61)/.39) - P(((X - μ)/σ)< (1.83 - 2.61)/039)

= P(z < 2) -P(z < -2)

= P(-2 < z < 2)

Thus, given a regular normal distribution (μ=0, σ =1), z is between 2 standard deviations away from the mean.

According to the Empirical Rule, 95% of the data obtained after a normal distribution is within two standard deviations of the mean.

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Answer:

Per acre will cost 6200

70 acres will cost 434,000

Step-by-step explanation:

you’re buying 60 acres Of farmland at a cost of 372000

1) What is the cost per acre

In order to find the cost per acre we divide the values which is;

➟ 372000 ÷ 60

➟ 6200

∴ it will cost 6200 per acre

2) What would be the cost for 70 acres

to find how much it will cost for 70 acres we will multiply the value per acre by 70 which is;

➟ 6200 × 70

➟ 434,000

∴ it will cost 434,000 for 70 acres

42 bologna sandwiches were made

The ratio is given as

Cheese : Bologna : Peanut butter = 5 : 7 : 8

Also, we have

Total = 120 sandwiches

The number of bologna sandwiches made is calculated using

Bologna = bologna ratio/total ratio * 120

So, we have

Bologna = 7/(5 + 7 + 8) * 120

Evaluate

Bologna = 42

Hence, 42 bologna sandwiches were made

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Answer: 2x²-4x-16

Step-by-step explanation:

[tex](2x+4)(x-4)=\\2x(x)+2x(-4)+4(x)+4(-4)=\\2x^2-8x+4x-16=\\2x^2-4x-16[/tex]

Answer:

20, 21,22,23

Step-by-step explanation:

Consecutive means in order.  Integers are the set of whole numbers and their opposites: ...-3,-2,-1,0 ,1,2,3...

Let x = the one sibling

Let x + 1 = the second sibling

Let x + 2 = the third sibling

Let x+4 = the fourth sibling.

If you add the four siblings together they equal 86

(x) + (x +1) + (x + 2) + (x+3) = 86  I put the parentheses in so that you can see each sibling, but it is not needed.

x + x+ 1 +x + 2 + x+ 3 = 86  Combine like terms

4x + 6 = 86  Subtract 6 from both sides

4x = 80  Divide both sides by 4

x = 20

The first sibling is 20, then 21, then 22 and finally 23

Check:

20 + 21 + 22 + 23 = 86

Using z-scores, it is found that due to the higher z-score, Luna did better on the exam.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

From the two bullet points, it is found that the student who did "better" is the one whose grade has the higher z-score.

For Hazel, the parameters are given as follows:

[tex]X = 93, \mu = 80, \sigma = 8[/tex]

Hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (93 - 80)/8

Z = 1.625.

For Luna, the parameters are given as follows:

[tex]\mu = 68, X = 40, \sigma = 15[/tex]

Hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (68 - 40)/15

Z = 1.87.

Due to the higher z-score, Luna did better on the exam.

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The yield on the corporate bond of a face value of $1000 is 7.77%.

What is the percentage discount?

The percentage discount is the discount given on a product as compared to the given discount on 100 rupees.

Given, the face value of the bond is $1000.

Discounted price of the bond is $900.

Therefore, the fixed interest on the bond for that period will be

= $1000 × 7/100 = $70.

Now, the yield on that corporate  bond = 70 × 100/900 % = 7.77% .

Hence, the yield on the corporate bond of a face value of $1000 is 7.77%.

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Answer:15 big boxes with 189 notebooks each: 20 * 200 = 4,000

12 small boxes with 79 notebooks each: 10 * 80 = 800

4,000 + 800 = 4,800

There are approximately 4,800 notebooks, this is an overestimate as I rounded up.

Step-by-step explanation:

Answer:

$3:00

Step-by-step explanation:

let 'x' be the money that the parents gave to Jane and her sister each

Jane will have 7+x dollars

Jane's sister will have 2 + x dollars

Jane had twice as much money as her sister thus

7 + x = 2(2 + x)

7 + x = 4 + 2x

4 + 2x = 7 + x

2x - x = 7 - 4

x = $3

the parents gave $3 to each.

Answer:2

Step-by-step explanation:

The line of reflection of the given congruent angles is the y-axis.

A line of reflection is defined as a line that lies in a position between two identical mirror images so that any point on one image is the same distance from the line as the same point on the other flipped image

Now, from the attached image, we see that the two given congruent triangles are; ΔAHJ and ΔADB

Now, we see that the coordinates are transformed as folllows;

D(5, 2) → H(-5, 2)

B(3, 0) → J(-3, 0)

Now, this type of transformation follows the transformation rule; (x, y) → (−x, y). This means it was reflected over the y-axis.

This the line of reflection of the given congruent angles is the y-axis.

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Step-by-step explanation:

cross multiply both sides

2(6x+1)=3(5x–2)

12x+2=15x–6

collect like terms

+2+6=15x–12x

8=3x

divide both sides by 3

8\3=3x\3

therefore, the final answer is

8\3

thank you

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Based on the information given, it can be deduced that the chart that is being described is the OHLC chart.

A statistical graph or chart is defined as the pictorial representation of statistical data in graphical form. The statistical graphs are used to represent a set of data to make it easier to understand and interpret statistical information.

It should be noted that an open-high-low-close chart (OHLC) chart simply means a type of chart that's used to illustrate the movements in the price of a financial instrument for a particular period of time.

The vertical line on the chart illustrates the price range over a unit of time. It's useful in assessing volatility as it shows the full price range of the period.

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From the graph of the fifth root function, we have that:

In a graph:

Hence, since the given graph has no holes, and keeps going to infinity, we have that both the domain and the range are all real values.

Since the function has no holes, it is also continuous, and has no vertical asymptotes.

For this problem, we have that the function is moving right and up over it's entire domain, hence it is increasing for all real values, and never decreasing nor constant.

Since the graph passes through the origin, we have that:

For this problem, looking at the graph, we have the the second statement holds true for all values of x, hence the function is odd.

It is given by the values of y when x -> ∞.

Hence:

For the end behavior, y -> - ∞ when x -> -∞ and y -> +∞ when x -> +∞.

Since f(x) -> ∞ when x -> ∞, the function has no asymptotes.

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Answer:

x=2

Step-by-step explanation:

Because these angles are the same you can do: 10x-14=7x-8. By doing simple math you'll get x=3 as you answer

Answer:

x = -18/7 y simplified as -2.57143y

Step-by-step explanation:

to figure this out and find the excluded value, first set the denominator equal to 0, because fractions represent division and dividing by 0 isn't defined. that will give us 7x+18y=0.. move the variable to the right hand side and change it sign.. which will be 7x=-18y, now divide both side by 7, = x=-18/7y / -2.57143y

The interval notation that expresses the statement is (-∝, 1]

The statement is given as:

The set of all numbers less than or equal to 1

The above can be represented as:

<= 1

Represent the set with variable x

So, we have

x <= 1

As an interval notation, we have (-∝, 1]

Hence, the interval notation that expresses the statement is (-∝, 1]

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Answer:

B. The airplane starts its descent from an altitude 500 feet higher

Step-by-step explanation:

f(x) = −300x + 30,000

the function itself represents the airplane's altitude. the y intercept, 30,000 ft, then represents the initial starting position of the plane.

when it changes

g(x) = −300x + 30,500

only the y intercept changes. it's now 30,500 ft, which is 500 more than before. that means the plane initial position is 500 feet higher.

since the term with x doesn't change, the rate will not be affected. the answers with slower or faster talks about rate, which isn't what changed.

Answer:

-1 /22

Step-by-step explanation:

1his is a fraction kinda thing so put -1 at the top like a numerator and the 22 go at the bottom like the denominator

Step-by-step explanation:

a1 = 2

a2 = a1 + 9 = 2 + 9 = 11

a3 = a2 + 9 = 20

a4 = a3 + 9 = 29

a5 = a4 + 9 = 38

a6 = a5 + 9 = 47

There are 11 scores, (N)  in the population.

The given parameters are:

Variance, s^2 = 5

Sum of squares, SS = 50

The variance of the population is calculated using

s^2 = SS/[N - 1]

So, we have

5 = 50/[N - 1}

Cross multiply

So, we have

5(N - 1) = 50

This gives

N - 1 = 10

Add 1 to both sides

N = 11

Hence, there are 11 scores, (N)  in the population.

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The required probability for a number of problems given is as follows, 1.) 1 / 3 2.) 1 / 5, and  3.) 1 / 4.

Here,
A jar consists of 4 red marbles, 5 yellow marbles, 3 green marbles, and 3 blue marbles.
Total number of marbles = 15

1) probability that the outcome contains green and/or blue marbles only,
= 2 / 6 = 1 / 3

2.)  probability that the outcome contains only green marbles,
= 3 / 15 = 1 / 5

3.) the probability that the outcome contains no green marbles,
  = 3 / 12 = 1 / 4

Thus, the required probability for a number of problems given is as follows, 1.) 1 / 3 2.) 1 / 5, and  3.) 1 / 4.


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Answer:

97

Step-by-step explanation:

To find x² + y², use the identity (x - y)² = x² + y² - 2xy.

(x - y)² = x² + y² - 2xy

Substitute xy = 36 and x - y = 5 in the above formula,

   5²    =  x² + y² - 2*36

 25     = x² + y² - 72

Add 72 to both sides,

25 + 72 = x² + y²

x² + y² = 97

The domain of the function is all the real numbers and the range is from -2 to 2.

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x).

A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

In the image, we can see that the value of the function varies from -2 to 2 at all the possible values of the real numbers.

Therefore, the domain of the function is all the real numbers and the range is from -2 to 2.

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Answer:

10 분

Step-by-step explanation: