will be appreciated if someone helps! 15 points, plus I will mark brainlest. c:

9. Nigel lives 1.06 × 106 feet away from his

grandmother. There are approximately

5.3 × 103 feet in a mile. Which of the

following could represent how many miles are

between Nigel’s home and his grandmother’s

home? Circle all that apply.

A. 2,000 miles

B. 200 miles

C. 2 × 103 miles

D. 5 miles

E. 5.618 × 109 miles

F. 2 × 102 miles

Answer:

Step-by-step explanation:

4

the roots of the quadratic equation [{(-x²) + 2x + 12} = 0] are (1 - √13) and

(1 + √13).

As per the question statement, we are provided with a linear equation

[{(-x²) + 2x + 12} = 0].

We are required to calculate the roots of the above mentioned equation.

To solve this question, we will first need to know the formula to calculate the roots of the quadratic equation [(ax² + bx + c) = 0], which goes as,

x = [{(-b) ± √(b² - 4ac)}/(2a)]

Now comparing the standard quadratic equation [(ax² + bx + c) = 0] with

[{(-x²) + 2x + 12} = 0], we get, [a = (-1)], (b = 2) and (c = 12), and substituting these values in the above mentioned formula to calculate the roots of any quadratic equation, we get,

x = [(-2) ± √{2² - (4* -1 * 12)}]/{2 * (-1)}

Or, x = [(-2) ± √{4 - (-48)}]/(-2)

Or, x = [{(-2) ± √(4 + 48)}/(-2)]

Or, x = [{(-2) ± √52}/(-2)]

Or, x = [{(-2) + √52}/(-2)], [{(-2) - √52}/(-2)]

Or, x = [-{2 - √52}/(-2)], [-{2 + √52}/(-2)]

Or, x = [{2 - √52}/2], [{2 + √52}/2]

Or, x = [{2 - √(13 * 4)}/2], [{2 + √(13 * 4)}/2]

Or, x = [{2 - 2√13}/2], [{2 + 2√13}/2]

Or, x = [2{1 - √13}/2], [2{1 + √13}/2]

Or, x = (1 - √13), (1 + √13)

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A) The decimal 2.256 in expanded form and word form are respectively;  2 + 0.2 + 0.05 + 0.006;  Two and three hundred fifty six one - thousandths

B) The decimal 24.09 in expanded form  and word form are respectively; 20 + 4 + 0 + 0.09; Twenty four and 9 one - hundredths.

The expanded form used when writing decimals is the mathematical expression that shows the sum of the values of each digit in the given number.

A) We are given the decimal 2.256

Thus, in expanded form, the given decimal can be expressed as;

2 + (2/10) + (5/100) + (6/1000)

= 2 + 0.2 + 0.05 + 0.006

In word form, we can write the decimal as;

Two and three hundred fifty six one - thousandths

B) We are given the decimal 24.09

Thus, in expanded form, the given decimal can be expressed as;

20 + 4 + (0/10) + (9/100)

= 20 + 4 + 0 + 0.09

In word form, we can write the decimal as;

Twenty four and 9 one - hundredths.

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Answer:

4. 5.6 5. 7/8

Step-by-step explanation:

Answer:

the slope is

y=-1/6x

Hope This Helps!!!

The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

The two most important parts of a vehicle in preventing traction loss are the tires and the traction control system.

Tires: Tires are the primary point of contact between the vehicle and the road surface. The quality and condition of the tires greatly influence traction. Tires with good tread depth and appropriate tread pattern are essential for maintaining grip on the road. Tread depth helps to channel water, snow, or debris away from the tire, preventing hydroplaning or loss of traction. Additionally, tire pressure should be properly maintained to ensure even contact with the road. Choosing tires suitable for the specific driving conditions, such as all-season, winter, or performance tires, is crucial for optimal traction and handling.

Traction Control System: The traction control system is a vehicle safety feature that helps prevent the wheels from slipping or spinning on low-traction surfaces. It uses various sensors to monitor the speed and rotation of the wheels. If the system detects a loss of traction, it will automatically reduce engine power and apply braking force to the wheels that are slipping. By modulating power delivery and braking, the traction control system helps maintain traction and prevent wheel spin, especially in challenging conditions like slippery roads or during quick acceleration.

The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

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The value of the function f(x) = 3x - 5 when x = 2 is f(2) = 1

A function is a mathematical equation that shows the relationship between two variables.

Given the function f(x) = 3x - 5, we desire to find f(2).

To find f(2), we substitute x = 2 into the equation. So, we have that

f(x) = 3x - 5. So substituting x = 2 into the equation, w ehave

f(2) = 3(2) - 5

f(2) = 6 - 5

f(2) = 1

So, the value of the function f(x) = 3x - 5 when x = 2 is f(2) = 1

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The time it take riders to pass over the hill and reach ground level is 111.19 seconds .

Given :

the roller coaster's height expressed by the equation below;

h = -0.067t^2 + 7t + 50

where

t is the time in seconds

The driver will hit the ground at the point where h = 0

Substitute

-0.067t^2 + 7t + 50 = 0

Multiply through  by -1

0.067t^2 - 7t +-50 = 0

Factorize :

On factorizing, the positive value of "t" is 111.19 seconds

Hence the time it take riders to pass over the hill and reach ground level is 111.19 seconds

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Answer:

Lo siento, no sé la respuesta a esas preguntas.

Answer:

NOT GREATER!!!

Step-by-step explanation:

0.6667 is NOT greater than 0.6667 which also means that 2/3 is NOT greater than 4/6.

Answer:

6cm*4.5cm = 27cm²

5cm*5cm = 25cm²

The first has a greater area - by 2 square centimeters.

Step-by-step explanation:

Answer:5 1/2

Step-by-step explanation:

4 1/2+4 1/2=9

14 1/2 -9=5 1/2

Answer: D.4/7

Step-by-step explanation:

     First, we will find out how many marbles are in the bag.

3 red + 1 blue + 4 yellow - 1 red = 2 red + 1 blue + 4 yellow = 7 marbles

     Now, we will put wanted outcomes over possible outcomes.

\(\displaystyle \frac{\text{wanted outcomes, yellow marbles}}{\text{possible outcomes, marbles in the bag}} =\frac{4\text{ yellow}}{\text{7 marbles}} =\text{D. 4/7}\)

Answer:

The answer is 4/7

D

Increasing the sample size for a chi-square test for independence, while holding other factors constant, increases the likelihood of rejecting the null hypothesis because as the sample size increases, the test becomes more sensitive to detecting small deviations from the expected frequencies.

In a chi-square test for independence, the null hypothesis assumes that there is no association between two categorical variables.

The test compares the observed frequencies in a contingency table to the expected frequencies under the assumption of independence. The chi-square test statistic measures the discrepancy between the observed and expected frequencies.

When the sample size is small, the test may not have enough power to detect a significant departure from the null hypothesis, even if such a departure exists in the population.

However, as the sample size increases, the test becomes more capable of detecting smaller deviations from independence, increasing the likelihood of rejecting the null hypothesis when there is a true association between the variables.

Therefore, increasing the sample size can improve the statistical power of the chi-square test and increase the likelihood of rejecting the null hypothesis, assuming other factors remain constant.

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Answer:

=4y-3x+8=0

Step-by-step explanation:

The equation of the line is equal to

\( \frac{y - y1}{x - x1} = m\)

From the question m is not given

therefore

the Gradient (m).

\( \frac{y1 - y2}{x1 - x2} \)

the points

(-4,-5) and (-8,-2)

therefore

\( \frac{ - 5 - ( - 2)}{ - 4 - ( - 8)} \\ = \frac{ - 5 + 2}{ - 4 + 8} \\ = \frac{ - 3}{ - 4} = \frac{3}{4} \)

therefore m = 3/4

the equation of the line

\( \frac{y - ( - 5)}{x - ( - 4)} = \frac{3}{4} \\ \frac{y + 5}{x + 4} = \frac{3}{4} \\ 4(y + 5) = 3( x + 4) \\ = 4y + 20 = 3x + 12 \\ 4y = 3x + 12 - 20 \\ 4y = 3x - 8 \\ 4y - 3x + 8 = 0\)

Therefore the equation of the line is 4y-3x+8=9

n is the number of the term you need.

Using the rule, replace n with 8 and solve:

k = 1/8(8)

k = 1/8 x 8/1 = 8/8 = 1

The eight term = 1

Answer:

n is the number of the term you need.

Using the rule, replace n with 8 and solve:

k = 1/8(8)

k = 1/8 x 8/1 = 8/8 = 1

The eight term = 1

copy cat ----

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                  V

Answer: 343y^6+64= (7y^2+4)(49y^4-28y^2+16)

Step-by-step explanation:

Answer: The answer is shown in the picture down below.

Answer: no solution

B. Square, A quadrilateral with four congruent sides and four congruent angles is a Square.

A square is a quadrilateral with four congruent sides and four congruent angles (right angles). All sides of a square are equal in length, and all angles are right angles (90 degrees). This makes it a special type of rectangle and a special type of rhombus.

In a rhombus, all four sides are equal in length. A square is also a special type of rhombus in which all four sides are equal and it is also a special type of rectangle with four congruent sides and four congruent angles is a rhombus.

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Answer:

12-2(n-1).

Step-by-step explanation:

It can be written 12-2n+2=14-2n, so that when n=1, the 1st term is 14-2=12. The 5th term is 14-10=4; the 6th is 14-12=2.

The area of kite ADCD in terms of k is (k + 2) x √(10k² - 16k + 10) square units.

The area of a kite can be calculated by multiplying the lengths of the diagonals and dividing by 2, or by multiplying half the product of the diagonals by the sine of the angle between them.

Since we are given the lengths of the diagonals, we can use the first method to find the area of kite ADCD.

Let BD = 2k + 4 be the length of the non-vertex diagonal, and AC be the other diagonal

Since the diagonals intersect at point E, they divide each other into two equal parts. Therefore, AE = EC.

Let AE = x = k + 1, and EC = x = 3k - 3.

Using the fact that the diagonals of a kite are perpendicular bisectors of each other, we can find the length of the other diagonal, AC:

AC² = AE² + EC²

AC² = (k + 1)² + (3k - 3)²

AC² = k² + 2k + 1 + 9k²- 18k + 9

AC² = 10k² - 16k + 1

AC = √(10k² - 16k + 10)

Now we can find the area of kite ADCD:

Area = (BD x AC) / 2

Area = ((2k + 4) x √(10k² - 16k + 10)) / 2

Area = (k + 2) x √(10k² - 16k + 10)

Therefore, the area of kite ADCD in terms of k is (k + 2) x √(10k²- 16k + 10) square units.

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The measure of the mid - segment is 53 .

Given :

the measures of the bases of a trapezoid are 35 and 71.

What is trapezoid ?

A trapezoid is a four-sided shape which has one pair of sides as parallel. It is basically a two-dimensional shape or figure similar to a square etc .

Mid segment :

A mid segment of a trapezoid is the line segment connecting the midpoints of the two non-parallel sides of a trapezoid.

A trapezoid mid segment is parallel to the set of parallel lines in a trapezoid and is equal to the average of the lengths of the bases.

Measure of mid segment = sum of two bases / 2

= 35 + 71 / 2

= 106 / 2

= 53

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Answer:

5 if you round it, or exact answer is 4.63 hours

Answer:

5 hours ( approxemitly)

Step-by-step explanation:

divide 650 (the miles) by 3 (the hours) to see how much miles it travels per hour....

after that make a T-chart where you see how much hours it takes to reach 1000 miles...

like this :

1 hour = 216.6 miles

2 hours = 432 miles

3 hours = 650 miles

And so on...

if you look the exact number per hour is 216.666667

but im asuming your techer would want the approximate answer so i just rounded it for you.

Tho the most exact answer is 4.62 hours.

Answer:

Barry's drawing is  5.5 in  tall and 2.5 in wide.

Step-by-step explanation:

We are given that

Height of tree, h=11 in

Width of tree, b=5 in

We have to find the size of the original.

Size of drawing is 1/2 size of the original

Therefore,

Height of drawing, h'=\(\frac{1}{2}\times 11\)in

Height of drawing, h'=5.5 in

Width of drawing tree=\(\frac{1}{2}\times 5\)

Width of drawing tree=\(2.5in\)

Hence, Barry's drawing is  5.5 in  tall and 2.5 in wide.

Therefore, we need 40 workers to complete the work in 15 days.

Let's assume that the amount of work required to build the house is the same, regardless of the number of workers. This means that the number of workers and the time required to complete the work are inversely proportional to each other. We can use the following formula:

n1 × d1 = n2 × d2

where n1 is the initial number of workers, d1 is the initial number of days, n2 is the new number of workers, and d2 is the new number of days.

Substituting the given values, we get:

20 × 30 = n2 × 15

Simplifying the equation, we get:

n2 = (20 × 30) ÷ 15

n2 = 40

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Answer:

(2, 5)

Step-by-step explanation:

When reflected across the x-axis the y value is the opposite.

Answer:

(1,-9)

Step-by-step explanation:

A number that can be expressed as a ratio of two integers is called rational number.

There are four type of numbers, namely natural, whole, rational numbers and integers. Natural numbers begin from 1 and end at infinity. The whole numbers are 0 and all the natural numbers.

Integers are of further two types, positive and negative numbers. The numbers represented on number line are integers. Rational numbers are the numbers that can be represented as p/q or as fraction, where denominator should not be zero.

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Geometric growth is a type of exponential growth where a quantity or value increases at a fixed percentage rate over a certain period of time.

Geometric growth is a type of exponential growth where a quantity or value increases at a fixed percentage rate over a certain period of time. This means that the growth rate is proportional to the current size or value of the quantity, resulting in a continuously increasing growth rate.

Geometric growth is commonly observed in natural and social systems, such as population growth, compound interest, and the spread of infectious diseases. It is represented mathematically by an exponential function, where the base of the exponent is greater than one, indicating an increasing rate of growth over time.

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I have solved the question in general, as the given question is incomplete.

The complete question is:

What is geometric growth ?

Step-by-step explanation:

we have 11k + 4k.

this is like saying "I have 11 apples and then get 4 more apples - how many apples do I have ?"

in other words, how many "k" do I have ?

11 + 4 = 15.

we have 15k.

and then there is -3 + 8 = 5

so, the answer is

15k + 5

Answer:

15k + 5

Step-by-step explanation:

Now we have to,

→ Simplify the given expression.

The expression is,

→ 11k - 3 + 4k + 8

Let's simplify the expression,

→ 11k - 3 + 4k + 8

→ 11k + 4k - 3 + 8

→ (11k + 4k) + (-3 + 8)

→ (15k) + (5)

→ 15k + 5

Hence, the answer is 15k + 5.

Answer: (b - 4)(b - 3); b = 4 and 3

Step-by-step explanation:

ima assume these are exponents since you didnt care to correctly write the equation.

What two numbers multiply to equal 12, but add to equal -7? That's -4 and -3

So the factored form of this trinomial is (b - 4)(b - 3) = 0. Make each of these expressions equal to 0 in order to get your answer.