7,9,13,21,37 what will be next tem.

1. Financial literacy

2. Problem-solving skills

3. Real-world scenarios

Excel can be a powerful tool for those who understand math concepts, it is essential to have a strong foundation in math to ensure success in various aspects of life.

Let's discuss it further below.

To use Excel successfully, you need a basic understanding of math concepts, since Excel is designed to perform mathematical operations, analyze data, and create graphs and charts. Excel can automate many math tasks, but it is important to have foundational math knowledge to properly input data, create formulas, and interpret results.

To convince the next generation that math skills are important, consider the following three examples where they will need to know math without relying on Excel or other technology:

1. Financial literacy: Understanding math is essential for managing personal finances, such as budgeting, calculating interest rates, and understanding loan terms. This knowledge will enable them to make informed financial decisions and maintain a healthy financial life.

2. Problem-solving skills: Math is more than just numbers; it teaches critical thinking and problem-solving skills. These skills are applicable to various aspects of life, from making decisions at work to solving everyday problems.

3. Real-world scenarios: Math skills are required in various situations, such as cooking, shopping, and traveling. For instance, when doubling a recipe, one must know how to multiply measurements, or when comparing prices, one must be able to calculate the cost per unit.

In conclusion, while Excel can be a powerful tool for those who understand math concepts, it is essential to have a strong foundation in math to ensure success in various aspects of life.

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Answer:

a = -2 and p = 4.

Step-by-step explanation:

x²+2(3x+p)=0

x^2 + 6x + 2p = 0

For the general equation ax^2 + bx + c = 0, the sum of roots = -b/a and their product = c / a.

So here we have:

Sum of the roots:

a + 2a = -6/1 = -6

Product of the roots = 2a^2 = 2p/1 = 2p..

So 3a = -6 and

a = -2.

and

2(-2)^2 = 2p

8 = 2p

p = (-2)^2 = 4.

Answer:

see explanation

Step-by-step explanation:

Since x = a and x = 2a are roots, then substitute these values into the equation.

x = a

a² + 2(3a + p) = 0, that is

a² + 6a + 2p = 0 → (1)

x = 2a

(2a)² + 2(3(2a) + p) = 0

4a² + 12a + 2p = 0 → (2)

Solving simultaneously

Subtract (1) from (2) term by term to eliminate p

3a² + 6a = 0 ← in standard form

3a(a + 2) = 0 ← in factored form

Equate each factor to zero and solve for a

3a = 0 ⇒ a = 0

a + 2 = 0 ⇒ a = - 2

Since a ≠ 0 then a = - 2

Substitute a = - 2 into either of the 2 equations and solve for p

substituting into (1)

(- 2)² + 6(- 2) + 2p = 0

4 - 12 + 2p = 0

- 8 + 2p = 0 ( add 8 to both sides )

2p = 8 ( divide both sides by 2 )

p = 4

Thus a = - 2 and p = 4

--------------------------------------------

a + 1 = - 2 + 1 = - 1

a - 5 = - 2 - 5 = - 7

If x = - 1 and x = - 7 are roots then the corresponding factors are

(x + 1) and (x + 7) and the quadratic equation is the product of the factors, that is

(x + 1)(x + 7) = 0 ← expand left side using FOIL

x² + 8x + 7 = 0

The sum of sin (6x)-sin (9x) can be written as a product of -2cos(15x/2)sin(3x/2).

Here is the explanation for writing the sum as a product of sin (6x)-sin (9x):

Sine and cosine are trigonometric functions that are used to relate angles to sides of right triangles.

In a right triangle, the sine of an angle is equal to the length of the opposite side divided by the length of the hypotenuse.

In mathematics, we can find the sum of two sines by using the sum to product formulas.

We will use the formula:

\($$\sin(x) - \sin(y) = 2\cos(\frac{x+y}{2})\sin(\frac{x-y}{2})$$\)

Using this formula, we can write sin (6x)-sin (9x) as:

\($$\sin(6x)-\sin(9x) = 2\cos(\frac{6x+9x}{2})\sin(\frac{6x-9x}{2})$$\)

\($$ = 2\cos(\frac{15x}{2})\sin(-\frac{3x}{2})$$\)

\($$ = -2\cos(\frac{15x}{2})\sin(\frac{3x}{2})$$\)

Hence, the sum of sin (6x)-sin (9x) can be written as a product of -2cos(15x/2)sin(3x/2).

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Answer:

it can accommodate 525 people in 5 hours and the hourly rate is 105

Step-by-step explanation:

There are 60 minutes in an hour so you divide 60/20 = 3

then you multiply 35 x 3 = 105 (the hourly rate)

Five hours = 105 x 5 = 525

Answer:

The rate of change: 105 people per hour; in 5 hours there would be 525 people.

Step-by-step explanation:

The rate can be calculated by turning minutes into hours, so if 20mins = 35ppl, it can be turned into 1hour = 105ppl, so in 5 hours there should be 525ppl

The given information is:

- The area of the sector of the circle is 31.2 cm^2.

- The exterior of the sector angle is 256°.

The area of the sector is given by the formula:

Where theta is the sector angle and r is the radius of the circle.

The whole circle measures 360°, so the sector angle can be found as follows:

Now, replace theta and the area value in the formula to solve for r:

The radius of the circle is 5.9 cm.

Answer: The statement that is not true is D.

Explanation:

We know that the area of the rectangle is 160 square inches. Let's assume that the length of the base is b inches. Then, the height of the rectangle would be 160/b inches (since area = base x height).

Now, we can check the given statements:

A. The base of the figure is 20 inches in length.

We do not know the length of the base, so we cannot say for sure whether this statement is true or false.

B. The formula A=b/8 could be used to determine the area.

This statement is false. The correct formula for the area of a rectangle is A = b x h.

C. The formula b=160/8 could be used to determine the length of the base.

This statement is true. We can solve for b as:

b = A/h = 160/(160/b) = 8

So, the length of the base is 8 inches.

D. The formula 160(b)(8) could be used to determine the length of the base.

This statement is false. The given formula does not make sense in the context of the problem, and it does not allow us to determine the length of the base.

Step-by-step explanation:

There is an approximate average velocity. 0.1 m/s, or 0.222 m/h.

A vector quantity is average velocity. The change in position and otherwise displacement (x) divided by that of the time intervals (t) during which the displacement happens is the definition of average velocity. The average velocity may be either positive or negative depending on the displacement's direction.

The distance covered by the rubber ducks = 1600 miles.

The duration needed to cover this distance = 10 months.

The average ocean speed, according to definition, is

v = (1600 miles)/(10 months)

Now,

1 mile = 1609 m

10 months = (10 months)*(30 days/month) *(24 hours/day)

                 = 7200 hours (approx.)

                 = 7200*3600

                 = 2.592 x 10⁷ s

So that,

ν = \(\frac{(1600 \mathrm{~m}) *\left(1609 \frac{\mathrm{m}}{\mathrm{mi}}\right)}{(10 \mathrm{months}) *\left(2.592 \times 10^7 \frac{\mathrm{g}}{10 \mathrm{mon} t h}\right)}\)

   = 0.0993 m/s

Also,

ν = 1600/7200

  = 0.222 mi/h

There is an approximate average velocity. 0.1 m/s, or 0.222 m/h.

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I understand that the question you are looking for is:

A severe storm on January 10, 1992, caused a cargo ship near the Aleutian Islands to spill 29,000 rubber ducks and other bath toys into the ocean. Ten months later hundreds of rubber ducks began to appear along the shoreline near Sitka, Alaska, roughly 1600 miles away.

What was the approximate average speed of the ocean current that carried the ducks to shore in m/s and in mi/h? (Rubber ducks from the same spill began to appear on the coast of Maine in July 2003.)

The exact value of cos H from the right triangle is cos(H) = 0.98

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

The right triangle

The exact value of cos H can be calculated as

cos(H) = HI/HJ

Where

HI = 40 and HJ = 41

So, we have

cos(H) = 40/41

Evaluate

cos(H) = 0.98

Hence, the value is 0.98

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360 degrees equals a circle. A circle can be divided into more manageable pieces. A circle's circumference is referred to as an arc, and an arc is given a name based on its angle.

Having no sides or edges, a circle is a figure with a round shape. A closed, two-dimensional curved form is what is meant by the term "circular" in geometry. The shape of a car tire, a wall clock that indicates the time, and a lollipops are a few objects that are circular in nature. The collection of all points in the plane that make up a circle are all equally spaced from a certain point known as the "centre," making the form a closed two-dimensional shape.

The reflection symmetry line is created by all lines that traverse the circle. Additionally, it is symmetrical in rotation around the center at all angles. A curved line forms a circle, a two-dimensional shape. The curving line's tips are evenly spaced apart from the center since it is a sphere.

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The Experimental probability of rolling either a 4 or 5 is 0.25 or 25%. To interpret experimental probabilities with caution and to repeat

experiments under different conditions to confirm the results.

The experimental probability of rolling either a 4 or 5, we need to add up the number of times that a 4 or 5 was rolled and divide by the total number of rolls. From the given table, we can see that a 4 was rolled 3 times and a 5 was rolled 5 times. Therefore, the total number of times that either a 4 or 5 was rolled is:

3 (for 4) + 5 (for 5) = 8

The total number of rolls is:

9 (for 1) + 9 (for 2) + 3 (for 3) + 3 (for 4) + 5 (for 5) + 3 (for 6) = 32

Therefore, the experimental probability of rolling either a 4 or 5 is:

8/32 = 1/4 = 0.25

So the experimental probability of rolling either a 4 or 5 is 0.25 or 25%. This means that if the experiment were repeated many times under similar conditions, we would expect to get either a 4 or 5 approximately 25% of the time.

It is important to note that this probability is based on the results of a single experiment, and the true probability may differ if the experiment were repeated many times. Additionally, the results may be influenced by factors such as the quality of the die, the rolling surface, and the technique used to roll the die. Therefore, it is important to interpret experimental probabilities with caution and to repeat experiments under different conditions to confirm the results.

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The equation provided in the problem is a parabola whose maxima is at (6, 36)

To determine the equation of a parabola, we can utilize the vertex form. Assuming we can read the coordinates (h,k) from the graph, the aim is to utilize the coordinates of its vertex (maximum point, or minimum point), to formulate its equation in the form y=a(x-h)²+k, and then to determine the value of the coefficient a.

Given that an equation y = 12x - x² where x represents the length of the side of the patio and y represents the area of the patio.

Since the given equation is parabolic it must have a maxima point

dy/dx = 12-2x

for maximum point dy/dx = 0

Thus,

12 - 2x = 0

x = 6

substituting this value in the function

f(x) = 12*6 + 6*6

f(x) = 36

Therefore, (6, 36) points are the maxima point of the given parabolic function. These given points show that the patio will have a maximum area at the length of 6.

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Answer: 55 degrees

Step-by-step explanation: 180-70-55=u

This answer is because the sum of all the angles is 180 degrees.

Answer:

u = 55°

Step-by-step explanation:

The sum of the internal angles of a triangle = 180°

Then:

70 + 55 + u = 180

125 + u = 180

u = 180 - 125

u = 55°

Answer:

The answer is 22 feet.hope you like answer

Answer:

Rational Root Theorem

Answer:

seeing as no one is answering I will

Answer:

this

Step-by-step explanation:

The solution of the inequality that determines how far Dev can travel over the weekend is -

x ≤ 400 miles.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have Dave who is planning a car trip for weekend.

Assume that [x] represents the number of miles Dev can travel.

We can write the inequality as -

18 - 0.04x ≤ 2

0.04x ≤ 16

x ≤ 400 miles

Therefore, the solution of the inequality that determines how far Dev can travel over the weekend is -

x ≤ 400 miles.

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I do not agree with the statement that mutually exclusive events and independent events are the same, as they are two distinct concepts.

P(A ⋂ B) = 0 since A and B are mutually exclusive. This means that they cannot both occur together. Mutually exclusive events are not necessarily independent events, meaning that they don’t necessarily have no effect on each other. P(A | B) = 0 since P(A ⋂ B) = 0.

No, I do not agree with this statement. Mutually exclusive events and independent events are not the same. Mutually exclusive events cannot occur together, meaning that their probabilities can never be added, and the occurrence of one event does not affect the probability of the other. However, independent events are events that are not affected by each other and their probabilities can be added.

I do not agree with the statement that mutually exclusive events and independent events are the same, as they are two distinct concepts.

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Answer:

1: below its initial height.

2: if Jimmy has 20 balls and Chris take 15,how many balls does Jimmy have?

3: I would want Mrbeast to be the President because he would help everyone.

Answer:

2(x+7)

Step-by-step explanation:

sum of x and 7 ==> x+7

double the sum ==> 2 * sum

Hence, 2*(x+7)

Answer:

\(x = 12 \\ x = 12 + 2 = 14 \\ x = 14 + 2 = 16 \\ x = 16 + 2 = 18 \\ 18 \geqslant 17 \\ end \: of \: loop \\ show \: 18\)

Answer:

So the volume expands as kinetic energy is gained and the more mass there is the more kinetic energy there will be. Hopefully this helps you and if it doesn't I will add on to it, just lmk.

The graph of the three linear functions is presented by the image shown at the end of the answer.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which the coefficients are given as follows:

Line A includes the points (0,5) and (3,2), hence it's intercept is of:

b = 5.

When x increases by 3, y decays by 3, hence the slope of line A is given as follows:

m = -3/3 = -1.

Then the equation for line A is given as follows:

A: y = -x + 5.

Line B is perpendicular to line A, meaning that the multiplication of their slopes is of -1, this the slope of line B is of:

m = 1.

Hence:

y = x + b.

Line B includes the point (-2,1), meaning that when x = -2, y = 1, and the intercept b is calculated as follows:

1 = -2 + b

b = 3.

Hence the equation for line B is given as follows:

B: y = x + 3.

Line B is perpendicular to line C, hence the slope of line C is of:

m = -1.

Then:

y = -x + b.

When x = 2, y = -3, hence the intercept b is calculated as follows:

-3 = -2 + b

b = -1.

Thus the equation for line C is given as follows:

y = -x - 1.

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Answer:

We have to use to elimination method to solve the provided system of equations, this method essentially involves eliminating one of the variables in the first equation by adding or subtracting a multiple of the second equation:

The elimination of the variable y in equation (1) is achieved by adding the 4 times the equation 2 into the equation (1), the steps of the process are as follows:

We have found the x value, the last step is to plug in the variable x value in any of the (1) or (2) equations, and solve for the y variable, the steps are as follows:

The final answer is as follows:

Therefore the answer is Option(B).

Answer:

Reindeer and snowflake are 4

tree is 8

snowman is 1

Step-by-step explanation:

The distance Jason and Caleb walked is 1523 m. The correct option is the fourth option 1523 meters

From the question, we are to determine how far Jason and Caleb walk

Let the distance covered be x

We will determine the value of the horizontal and vertical components of their journey

From the diagram,

Horizontal distance covered = 3 units

Vertical distance covered = 7 units

Using the Pythagorean theorem

x² = 3² + 7²

x² = 9 + 49

x² = 58

x = √58

x = 7.6158 units

From the diagram,

1 unit = 200 m

∴ x = 7.6158 × 200

x = 1523.16 m

x ≈ 1523 m

Hence, the distance Jason and Caleb walked is 1523 m. The correct option is the fourth option 1523 meters

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