Find the product of 62.7 x 10 to the 4th power

When teaching an 8th grade lesson on problem solving, Sylvia begins by utilizing a short video clip. Sylvia uses this video clip as a discrepant event because students attached with science it would look like magic for them.

A discrepant occurrence is an unexpected, counterintuitive result that differs from what an observer would typically anticipate. Oobleck is a classic illustration of a discrepant event.

Most kids (who have never seen it before) wouldn't anticipate that it would have both solid and liquid qualities. They didn't anticipate it to spread out right away once the "ball" was placed on the table instead of rolling into a ball and taking shape.

The main factor is that pupils will develop an obsession with science. They will see this as "magic," and they will be very interested in learning how it worked. After that, they'll be prepared to "amaze" their friends with both the "trick" and their subsequently displayed "smarts."

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Answer:

9n/60

Step-by-step explanation:

add 1/12 + 1/15 which = 5/60 + 4/60.

= 9/60

YAY!!!!!!!

The fraction of the exams that Mr Tough and Mrs Nice grade in 1 hour if they work together is 3/20

In Maths, a fraction is used to represent the portion/part of the whole thing. A fraction has two parts, namely numerator and denominator. There are proper fractions, improper fractions and mixed fractions.

Example: 2/5, 1/4 etc.

We will this equation,

rate × time = work done

For this problem:

             Mr Tough's rate:

                          Mr Tough's rate × 12 hours = final exam

                          Mr Tough's rate = 1/12

             Mrs.Nice's' rate:

                            Mrs .Nice's' rate × 15 hours = final exam

                            Mrs .Nice's' rate = 1/15

To make this into a solvable equation,  find the total time (T) needed for Mr Tough and Mrs.Nice to grade the final exam. This time is the sum of the rates of Mr Tough and Mrs.Nicea, or:

Total time:

T(1/12 hours + 1/15 hours) = final exam

T =  final exam / (1/12 + 1/15)

Simplifying we get,

T =  final exam / (0.15)

Now, to finish in 1 hour we will find what fraction of the final exam they can grade, so taking T = 1 hour,

1 hour =  final exam / (0.15)

By further simplifying,

final exam = 1 × 0.15

                 = 0.15

                 = 15/ 100

                 = 3/20

Therefore, 3/20 fraction of the final exam they can grade if they work together for 1 hour.

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Answer:

64

Step-by-step explanation:

Plug the options into the given equation (l times w) and then choose the larger value.

7x9=63

8x8=64

64>63

64 is the greater value

When \(x\) approaches infinity, the function's graph moves closer to the x-axis and horizontal equilibrium point at \(y = 3\). For \(x -2\), which is denoted by such an open ring at \((-2, 3)\) on the graph, the function is undefined.

A graphs is a pictorial display or diagram that displays facts or numbers in an organized way in math. The relationships between multiple things are frequently represented by the points on a graph.

The graph is a mathematics structure made up of a collection of points Coordinates and a set of lines connecting some pairs of VERTICES that may or may not be empty. There is a chance that the edges will be directed, or orientated.

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The distance from port 3 to port 17.7 miles

Let A represents the position of port 1,  B represents the position of port 2 and C represents the position of port 3,

By the cosine rule

/AC/² = /AB/²+/BC/² -2*AB*BCCos B

AC²=3.5²+6²-2*3.5*6*Cos105       where <B=90+15

=(AC)²=12.25+36−42cos105⁰

(AC)²=48.25−42×−0.2588190451

(AC)²=59.1203998943

AC=7.68897911912≈7.7 miles

Hence, the distance between port 1 and 3 is 7.7 miles (approx)

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The required present value needed now to get $700 after 4 years at 11% compounded monthly is $451.73.

To find the present value of $600 after 4 years at 7% compounded monthly, we can use the formula for compound interest:

Compound Interest =P(1+r/n)^rt

Substituting the given values, we get:

Compound Interest =600 (1+7/n)^4

Simplifying this equation, we get

P = 600 / 1.487

P = 451.73

Therefore, the present value needed now to get $600 after 4 years at 7% compounded monthly is $451.73.

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Answer:

The answer should be b. (0,2) because that the order pair for y

Answer:

(2,3) makes the equation false.

Step-by-step explanation:

a. -1 = 1/2(0)-1

-1 = -1

b. 0 = 1/2(2) - 1

0 = 1 - 1

0 = 0

c. 2 = 1/2 (3)-1

2 = 3/2 - 1

2 = .5

d. 1=1/2(4)-1

1=2-1

1=1

Answer:

x = -5.5 or -5 1/2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

2*3+3*4 x 1/3 power 2

6+12 x 1/9

18 x 1/9

2 x 1 (because 9 and 18 are cutted by each other)

2

2

To evaluate the expression (2b+3a)×(c^2) when a=4, b=3, and c=1/3, we substitute the given values into the expression and perform the indicated arithmetic operations:

(2b + 3a) × (c^2)

= (2(3) + 3(4)) × ((1/3)^2) (substitute a=4, b=3, c=1/3)

= (6 + 12) × (1/9) (evaluate 2(3) + 3(4) and (1/3)^2)

= 18/9

= 2

Therefore, when a=4, b=3, and c=1/3, the expression (2b+3a)×(c^2) equals 2.

Answer:

The statistic is misleading because Christopher collects his sample from a population (voters in his state) and make inferences about another population (voters in his city).

Step-by-step explanation:

The statistic is misleading because Christopher collects his sample from a population (voters in his state) and make inferences about another population (voters in his city).

He should make inferences about the population that is well represented by his sample (voters in his state), or take a sample only from voters from his city to make inferences about them.

Answer:

\(option \: d \: 4.2 \times {10}^{ - 3} \)

Step-by-step explanation:

Multiplication,

\( = 8.4 \times {10}^{ 8 } \times 5 \times {10}^{ - 11} \\ = 8.4 \times 5 \times {10}^{8 + ( - 11)} \\ = 4.2 \times {10}^{8 - 11} \\ = 4.2 \times {10}^{ - 3} \)

a) The break-even point for the division is: 4000 units

b) The level of sales for 10% profit is: 4681 units

The break-even point is defined as the point at which total cost and total revenue are equal, meaning there is no loss or gain for your small business. In other words, you've reached the level of production at which the costs of production equals the revenues for a product.

a) We are told that:

Selling price for income tax app = $8

Monthly fixed cost = $20000

Variable cost producing each app = $3

Thus:

8x = 3x + 20000

5x = 20000

x = 4000 units

b) 8x = 1.1(3x + 20000)

8x = 3.3x + 22000

4.7x = 22000

47x =220000

x = 4681 units

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Missing questions are:

(a) Find the break-even point for the division.

(x,y)=

(b) What should be the level of sales in order for the division to realize a 10% profit over the cost of making the income tax apps? (Round your answer up to the nearest whole number.)

Answer:

3

Step-by-step explanation:

f(x) = 4x^3 – 13x^2 + 9x + 2

This looks complicated but all we need to find are the Roots

We are looking for when y=0

So given each part of the information, we can label how many times it happens

The function starts from the bottom of quadrant 3: Starts lower left

and goes up through the x-axis at (0, negative 0.25) : This is ONE ROOT

and then through the y-axis at (0, 2). : It's now on the 2nd quartile

It then starts to curve down at (0.5, 4): It's moving towards y=0

until it reaches (1.75, negative 0.5).: It has now passed y=o and there are TWO ROOTS

It then curves up and crosses the x-axis at (2, 0) and goes up approaching x = 3: It has passed y=0 again, so there are THREE ROOTS

This polynomial function has 3 ROOTS

Answer:

The first for the graph is crosses and then it is touches for the second.

Step-by-step explanation:

ANSWER

Ray AB bisects

EXPLANATION

We have that Ray AB bisects This means that AB divides angle CAT into two equal parts.

A conjecture is a logical conclusion based on infomation given that might not be complete.

So, let us draw a conclusion from the information given.

Conjecture: Ray AB bisects

9514 1404 393

Answer:

Step-by-step explanation:

1. We cannot be sure of your table headings, so we used ones that seem to fit. The completed table is attached.

The amount of interest is computed first. It is the product of the previous balance and the monthly interest rate: 0.155/12. This amount is rounded to cents, as it would be in real life.

The remainder of the payment after interest is paid goes to reduction of the principal amount owed. That payment to principal is subtracted from the previous EOM Balance to give the new end-of-month balance.

The total of payments to date is found in the Accrued Pmt column.

__

2. For the last payment, we made note of the interest owed and the outstanding balance, and added those values to get the payment amount. The result is the final balance is zero. The last payment is $33.97.

__

3. The total of all payments is $1833.97.

__

4. The "debt ratio" is presumed to mean the ratio of the credit card balance to the credit card limit. That ratio is ...

  1753.42/3000 ≈ 0.584 . . . . "debt ratio"

_____

Additional comment

Various definitions of "debt ratio" are used by different folks for different purposes. Sometimes, it means the ratio of debt to income. Sometimes it means the ratio of minimum payments due to income. Here, we're not given any income information, so we presume the ratio is supposed to mean the fraction of credit limit that is being utilized.

Answer:

392

Step-by-step explanation:

I would separate this into 2 shapes a triangle and a square. So first take the area of the square

area of square = base x height

16x19=304

Than take the area of the triangle

area of triangle = 1/2(base x height)

you can find the height of the triangle by subtracting 19 from 30 which is 11, and the base is the same as the base of the square which is 16

1/2(16x11)= 88

Add them together

304+88=392

Answer:

89

Step-by-step explanation:

Hypotenuse = sqrt[ (Leg a)2 + (Leg b)2 ]

Hypotenuse = sqrt[ (39)2 + (80)2 ]

Hypotenuse = sqrt[ 1521 + 6400 ]

Hypotenuse = sqrt[ 7921 ]

Hypotenuse = 89

Answer:

45 is your answer c=45 13

According to the trignonmentry of half angles, the value of sin(x/2) is  √(1-5/6)/2, cos(x/2) is √(1+5/6)/2 and the value of tan(x/2) is √11/6/(√(1 + 5/6)

Trigonometry of half angles

Trigonometry of half-angle formula is used to determine the exact values of the trigonometric ratios of angles such as 15° that is half of the standard angle 30° and 22.5° that is the half of the standard angle 45 and so on. So if θ is an angle, then the half angle is represented by θ/2.

Given,

Here we need to find if cos(x)=5/6 , and x is in quadrant I, determine the exact value of each of the following.

sin(x/2), cos(x/2), tan(x/2).

According to the concepts in trigonometry,

We know that the following formulas.

=> sin(x/2) = √(1-cosx)/2

=> cos(x/2) = √(1+cosx)/2

=> tan( x/2)=sin x/1+cosx

Here we know that cos (x) = 5/6

Thus implies that 5 is the opposite and 6 is the hypotenuse, then the adjacent is

Therefore, we can calculate the value of the adjacent a as,

=> a = √(6²-5²)

=> a = √36-25

=> a= √11

Therefore the value of sin x= √11/6

So, the value of sin(x/2)= √(1 - 5/6)/2

And the value of cos(x/2)= √(1 + 5/6)/2

Finally, the value of tan(x/2)=√11/6/(√(1 + 5/6)

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Answer:

The profit of company B is;

Explanation:

Given the ratio of the profit of company A to B as;

If company A made $24 million profit, then the profit of company B would be;

Therefore, the profit of company B is;

Using the binomial distribution, the probabilities are given as follows:

a) 0.0747 = 7.47%.

b) 0.8725 = 87.25%.

c) 0.1256 = 12.56%.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

The values of the parameters are:

n = 20, p = 0.6.

Item a:

The probability is P(X = 15), hence:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 15) = C_{20,15}.(0.6)^{15}.(0.4)^{5} = 0.0747\)

Item b:

The probability is:

\(P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12) + \cdots + P(X = 20)\)

Finding each value with the equation we used in item a, we have that:

\(P(X \geq 10) = 0.8725\)

Item c:

At least 20 - 5 = 15 on the road, hence the probability is:

\(P(X \geq 15) = P(X = 15) + P(X = 16) + \cdots + P(X = 20)\)

Then, using the same procedure as item b, we have that:

\(P(X \geq 15) = 0.1256\)

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To analyse the influence of exercise on reaction time, the researchers equation might have utilised the average change in reaction time for the group as a whole or looked at individual changes in reaction time.

In several trials, regular exercise has been proven to enhance reaction time. It is feasible that running two laps around a track will improve reaction time for the students in this study.

In this study, the response variable is the reaction time of 15 randomly selected students before and after running two laps on a track. The researchers measured reaction time using an online game, which was most likely a timed task that required participants to respond fast to a stimuli. To analyse the influence of exercise on reaction time, the researchers might have utilised the average change in reaction time for the group as a whole or looked at individual changes in reaction time.

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Answer:

lines b and c are parallel

Step-by-step explanation:

lmk if you want an explanation

The statement "Every set can be considered a class" means that every object in set theory, including sets, can be considered a class. This is because classes are simply collections of objects, and sets are a type of collection.

The statement "If S is a set, consider the formula x S and the class {x: x = S}" means that if S is a set, then we can consider the formula x S, which states that x is an element of S, and the class {x: x = S}, which is the class of all objects that are equal to S.

In other words, the statement is saying that every set can be considered a class, and that we can define a class for any set by considering the formula that defines the set and the class of all objects that satisfy that formula.

For example, the set {1, 2, 3} can be considered a class by considering the formula x ∈ {1, 2, 3}, which states that x is an element of the set {1, 2, 3}, and the class {x: x ∈ {1, 2, 3}} is the class of all objects that are elements of the set {1, 2, 3}. This class is equal to the set {1, 2, 3}.

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Answer: Down | ( 8, -1 )

Step-by-step explanation:

Did the assignment

As per the formula of area of rectangle, the maximum area is 1250 square feet

The standard formula to calculate the area of rectangle is written as,

A = l x b

where l refers the length and b refers the breadth.

Here we have given that a farmer decides to enclose a rectangular garden , using the side of the barn as one side of the rectangle.

And we need to find the dimensions of the maximum area that the farmer can enclose with 80 ft of fence.

Here let the length of the fence is x and the width of the fence is y

Then the Perimeter equation is

=> x + 2y = 100

And the area of the fencing space is

=> Area = xy

Here we have to substitute the perimeter equation so that the area is only in terms of y, then we get

=> Area = (100 - 2y)y

=> Area = 100y - 2y²

Then we have to find the vertex of the parabola

=> Area = -2y² + 100y

=> Area = -2(y² - 50y + 625) + 1250

=> Area = -2(y - 25)² + 1250

Now, the maximum area is 1250 square feet.

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Answer:

-3/10

Step-by-step explanation:

Answer: B

Step-by-step explanation:

8 x (-6) + 5 x 7 = (-13)

-6+ 7 = 1 hope this helps.

Answer:

$857.52

Step-by-step explanation: