O skaters are racing toward the finish
race. The first skater has a 40 meter
d and is traveling at a rate of 12 meters
second. The second skater is travelin
ate of 14 meters
per
second. How long
it take for the second skater to pass
st skater?

Answer:

the answer is -60........

Answer:

-60! 1560 divided by 26 is 60, but any negative divided by a positive is a negative, so the product will be negative as well.

Step-by-step explanation:

Hope it helps! =D

In this mathematical expression, the original number is 4.

We can use a mathematical equation to work out the original number.

A mathematical equation uses variables, numbers, and constants to show that two values are equal.

Mathematical equations connect two mathematical expressions using the equal sign (=).

Let the original number = x

According to the statement:

2x + 28 = {4}{9}

This implies that:

2x + 28 = 36

Subtracting 28 from both sides gives:

2x = 8

x = 4

Thus, the original number is 4.

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If the range of the data set is 19. Then the maximum value of the set will be 28.

Statistics is the study of collection, analysis, interpretation, and presentation of data or discipline to collect and summarise the data.

The range of the data is the difference between the maximum number to the minimum number. Then the formula is written as,

Range = Maximum value - Minimum value

The range of a set of numbers is 19. And the minimum value is 9.

Then the maximum value of the set is calculated as,

Range = Maximum value - Minimum value

19 = Maximum value - 9

Maximum value = 19 + 9

Maximum value 28

If the range of the data set is 19. Then the maximum value of the set will be 28.

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Answer: The correct answer is the Law of Large Numbers

Step-by-step explanation:

Imagine flipping a coin. There is a 50% likelihood that you would get tails. However, it doesn't happen all the time. If you flipped it just a few times, you could get all tails and have 100% tails.

However, if you experimented a lot of times (a large number), you almost certainly wouldn't get all tails. You would get close to 50%. That is the main point of the law.

The more trials you do, the more likely you will get close to the theoretical value.

Hence the probability that the spinner will land on something less than 0.75 is 37/50

As we know in between 0 and 1 the decimal numbers are ( 0.1, 0.2, 0.3, 0.4 _ _ _ _ _ 0.95, 0.96, 0.97, 0.98, 0.99, 1.00)

So,

To find the probability = favorable outcomes/ total numbers of outcomes

Favorable outcomes =  0.74 / 1.00

solve the decimal numbers in the simplified form

The probability that the spinner will land on something less than the decimal number 0.75 is 37/50.

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The range thumb rule The minimum and maximum values for the usual value, which is two, are 812.14 and 885.85, respectively.

An efficient way to calculate the range from the standard deviation is to use the range rule of thumb. The range is normally around four times the standard deviation, according to this information. Inferring that your range is around eight if your standard deviation is 2, for example.

As an illustration of a binomial distribution, we'll utilize seeds.

According to given data;

Let "X" represent the number of tomato seeds that actually germinate based on the data provided.

With the knowledge provided above, we can now determine the:

The median number of seeds that we may anticipate to germinate

standard deviation (σ): sqrt of n*p*(1-p)

Once you calculate the mean and standard deviation, you can calculate the minimum usual value and the max usual value.

Now, in your problem:

n = 1415

p = 3/5

so,

the mean would be: (1415)(3/5) = 849

the standard deviation would be:  sqrt (mean)(1-3/5) = 18.4282

Next, we find the minimum and maximum usual values according to the equations you gave:

minimum:  mean - 2(standard deviation)

                = 849 - 2(18.4282)

                = 812.1436

maximum: mean + 2(standard deviation)

                = 849 + 2(18.4282)

                = 885.8564

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Using the exterior angle of a polygon theorem, the value of the missing angle is 58°

From the question, we are to calculate the value of the missing angle.

From the given information, the missing angle is (3x -2)°.

To calculate the value of the missing angle,

First, we will determine the value of x

From the Exterior angle of a polygon theorem, we can write that

90° + (3x + 12)° + (4x - 10)° + (3x - 2)° + 70° = 360°

(3x + 12)° + (4x - 10)° + (3x - 2)° = 360° - 70° - 90°

3x° + 12° + 4x° - 10° + 3x° - 2° = 200°

10x° = 200° + 2° + 10° - 12°

10x° = 200°

x = 200/10

x = 20

The missing angle is (3x -2)°

Substitute the value of x

(3(20) -2)°

= (60 -2)°

= 58°

Thus,

The missing angle measure is 58°

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No, i don't think she is correct as she didn't rounded-off correctly while measuring the diameter of bacteria.

Rounding off is a type of estimation. Estimation is used in everyday life and also in subjects like Mathematics and Physics. Many physical quantities like the amount of money, distance covered, length measured, etc are estimated by rounding off the actual number to the nearest possible whole number.
According to the picture it shows the diameter of the bacteria is 0.00000025691m

So , [tex]2.5691 * 10^-^7m[/tex]  is rounded off and will be equal to [tex]3*10^-^7m\\[/tex]

As, The digit right to 2 is 5 and which already passed halfway up

So, the number 2 will be rounded off to 3 as it being the nearest digit.

Therefore, Bonnie is wrong as she did mistake while rounding - off measurments.

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Answer:

0.635

Step-by-step explanation:

This is half way between 0.63 and 0.64.

Hope this helps!

perimeter of triangle is =  3 + 5 + 4 = 12 cm

perimeter of rectangle is = 2( 3 + 6 ) = 18 cm

perimeter of parallelogram is = 2 (5+7) = 24 cm

A perimeter is a closed path that encompasses, encircles, or delineates a one-dimensional length or a two-dimensional shape. The circumference of a circle or an ellipse is referred to as its perimeter. Perimeter calculations have many practical applications.

perimeter of triangle is =  3 + 5 + 4 = 12 cm

perimeter of rectangle is = 2( 3 + 6 ) = 18 cm

perimeter of parallelogram is = 2 (5+7) = 24 cm

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Answer:

-0.5 or -1/2

Step-by-step explanation:

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

8x+4 = 0

8x = -4

x = -0.5

Hope that helps

Answer:

72,000 yards

Step-by-step explanation:

The scale factor can be found by doing:

[tex]240 \div 4 = 60[/tex]

This means that 60 is the scale factor. You can apply the scale factor to the length of the rectangular building, meaning that the length of the actual building is:

[tex]5 \cdot 60 = 300[/tex] yards

So, if the building is 240 yards wide, and 300 yards long. You can find the area of the actual building just like any other rectangle using:

[tex]A = l \cdot w[/tex]

(Area = length * width)

So, the final answer is:

[tex]A = 300 \cdot 240\\ A= 72,000[/tex]

This means that the area of the actual building is 72,000 yards.

The time taken by Peter to arrange the chairs all by himself is 10/3 minutes.

Given that :-

Katrina can arrange the chairs in the classroom in 5 minutes.

One day peter helped her and took both of them 2 minutes to arrange the chairs.

We have to find the time taken by Peter to arrange the chairs all by himself.

LCM (5,2) = 10

Let the total work of arranging the chairs is of 10 units.

We know that,

Efficiency of a person = Total Work/Time taken by person

Hence,

Efficiency of Katrina = 10/5 = 2 units

Efficiency of Katrina + Efficiency of Peter = 10/2 = 5 units

Hence,

Efficiency of Peter = 5 - 2 = 3 units

Hence, time taken by Peter to arrange the chairs all by himself  = 10/3 minutes.

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Answer: y=12

Step-by-step explanation:

Distribute

Add 10 to both sides

Simplify.

Answer: y = 12

Step-by-step explanation:

2 ( [tex]y\\[/tex] - 5 ) = 14

2[tex]y\\[/tex] - 2 · 5 = 14

2[tex]y\\[/tex] - 10 = 14

(2[tex]y\\[/tex] - 10) + 10 = 14 + 10

2[tex]y\\[/tex] = 24

[tex]\frac{2y}{2} = \frac{24}{2}[/tex]

The values for the parabola are found as-

For the given question.

The total horizontal distance covered by water is 10 feet.

The maximum height attained by nozzle of water is 8 feet.

Thus, the vertex of parabola (h, k) = (5, 8)

The nozzle was 4 foot above the ground, a = 4.

The equation of parabola becomes;

y = a(x - h)² + k

y = 4(x - 5)² + 8

Thus, the equation of parabola becomes; y = 4(x - 5)² + 8.

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The correct answer to task 804 × 79 is 63,516.

When we multiply a number and another together, or a number and a variable, or even a variable with another variable, we mean the product of the two factors. The multiplication sign is " × " .

The step by step explanation of the task above is given below:

804 × 79 = 63,516.

Another example of Multiplication is

40 × 2 = 80.

The product of a and b also means Multiplication.

a and b means a × b = ab.

The product or the multiplication of g and 5 means g × 5 = 5g.

In conclusion, from the detailed information and explanation given above, the product of 804 × 79 is 63,516.

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The definition for the function is y = {-2x +1   x < 1 ; -x + 2   x ≥ 1. The correct option is b.

From the question, we are to determine the equation for the function

First, we will determine the equation for when x < 1

Picking the points (-1, 3) and (0, 1)

Using the formula,

(y - y₁) / (x - x₁) = (y₂ - y₁) / (x₂ - x₁)

(y - 3) / (x - -1) = (1 - 3) / (0 - -1)

(y - 3) / (x + 1) = -2 / (0 + 1)

(y - 3) / (x + 1) = -2 / 1

(y - 3) / (x + 1) = -2

y - 3 = -2(x + 1)

y - 3 = -2x - 2

y = -2x - 2 + 3

y = -2x + 1

Thus,

When x < 1, the function is y = -2x + 1

Now, determine the equation for when x ≥ 1

Picking the points (1, 1) and (2, 0)

(y - y₁) / (x - x₁) = (y₂ - y₁) / (x₂ - x₁)

(y - 1) / (x - 1) = (0 - 1) / (2 - 1)

(y - 1) / (x - 1) = -1 / 1

(y - 1) / (x - 1) = -1

y - 1 = -1(x - 1)

y - 1 = -x + 1

y = -x + 1 + 1

y = -x + 2

Thus,

When x ≥ 1, the function is y = -x + 2

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[tex]5\sqrt{20} = 5\sqrt{4.5} = 5.2\sqrt{5} = 10\sqrt{5}[/tex]

[tex]10\sqrt{5} - 4\sqrt{5} = 6\sqrt{5}[/tex]

The value of x if R is the midpoint of QS is 31 units.

The midpoint is the middle point of a line segment.

It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints.

The midpoint is halfway between the two end points.

Therefore, R is the midpoint of QS

Hence,

QS = QR + RS

QR = 5x - 15

QS = 100

Therefore, QR and RS are congruent because R is the midpoint of QS

QR = RS

Hence,

100 = 5x - 15 + 5x - 15

100 = 10x - 30

100 + 30 = 10x

130 = 10x

divide both sides by 10

x = 130 / 10

x = 13

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Applying the rules of exponents, the value of n in the equation given is calculated as: n = 8.

The product rule of exponents says that when the base are the same, add their exponents together.

For example, m × m² = m^(1 + 2) = m³.

The exponents are 1 and 2. The expression has similar base of m. Therefore, to multiply m and m² together, we would simply add their exponents together while the final result will be the same base.

Also, the negative rule of exponents states that we subtract their exponents if they have he same base.

For example:

m³/m² = m³ ÷ m² = m^(3 - 2) = m.

Given the equation:

[tex]\frac{4^3 \times 8^2}{2^n} = 2^4[/tex]

Simplify the bases to make all equal

= [tex]\frac{2^{(2)(3)} \times 2^{(3)(2)}}{2^n} = 2^4[/tex]

= [tex]\frac{2^{6} \times 2^{6}}{2^n} = 2^4[/tex]

Apply the product rule and the negative rule of exponents to find the value of n in tye equation:

[tex]2^{(6 + 6 - n)} = 2^4\\\\2^{(12 - n)} = 2^4\\\\[/tex]

The bases will cancel each other:

12 - n = 4

Subtract 12 from both sides

12 - n - 12 = 4 - 12

-n = -8

Divide both sides by -1

n = 8

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The probability is a + b + c = -382

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

Every cube's side is [tex]\sqrt[3]{1000}[/tex] = 10

Since there are 512 unpainted cubes within, the likelihood is 1⁵¹² = 1

There are 8 corners, and each one has a chance of 3 / 6 = 1 / 2 = 2⁻¹ so the probability is 1⁸ / 2 = 1 / 2⁸

There are 8 * 12 = 96 edge pieces (12 edges total, with 8 on each edge; each cube has a probability of 4 / 6 = 2 / 3, so the probability is 2⁹⁶ / 3 = 2⁹⁶ / 3⁹⁶

There are 8 * 8 * 6 = 384 center cubes, each having a chance of 5 / 6, so the probability is 5³⁸⁴ / 6 = 5³⁸⁴ / 6³⁸⁴ = 5³⁸⁴ / (2³⁸⁴ * 3³⁸⁴)

So, the probability is:

(1 / 2⁸) * (2⁹⁶ / 3⁹⁶) * [5³⁸⁴ / (2³⁸⁴ * 3³⁸⁴)]

= (5³⁸⁴ * 2⁹⁶) / (2³⁹² * 3⁴⁷⁰)

= 5³⁹⁴ * 2⁹⁶ * 2⁻³⁹² * 3⁻⁴⁷⁰

= 5³⁸⁴ * 2⁻²⁹⁶ * 3⁻⁴⁷⁰

Thus, a + b + c = -382

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Surface area of a cylinder= 2πr(h+r)

=2×22/7×5×(13+5)

=31.43×(18)

=565.74meter squared

The best description of the value of the expression 2x - 7, when x = 5 is B. The result is a prime number.

A prime number cannot be divided by another number except by itself or 1.

Common prime numbers include 2, 3, 5, 7, 11, 13, 17, and 19.

The value of 2x – 7, when x = 5 is 3.

3 is a prime number as well as a whole number, but it is not a composite number.

Thus, we can conclude that the result of solving the expression is the prime number 3.

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The number of bars of the same color could be used to show the number of hours that Dan studies hence he studied for 2/3 hours in four days.

The term multiplication refers to the number of times that a number is added to itself. For instance, if I add four three times, I could shorten the expression as four multiplied by three.

If we look at the diagram, we can see that in each tile, there are always two bars of the same color out the whole three bars. The bars that are of the same color shows the number of hours that Dan studied.

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Answer:

Hope the picture will help you

Answer: 60% of your teachers are female

Step-by-step explanation: 3 out of 5 is 60%

Yes if there is a positive correlation existing between the paving of streets and the number of registered cars then paving more streets would result in the increase in the registered cars.

This is the term that is used to tell us that there is the presence of a correlation that would make the two variables that we are talking about to move in the same direction. That is when one increases, the other would have to increase as well.

Such that we would have the increase in the number of paved street to cause an increase in the number of registered cars in the place.

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