Someone help me with this please!

The nearest kilometers to 999.09344471 km is 1000 km.

Given value is 999.09344471 Km.

We have to calculate the round off value to the nearest kilometers. we know that after the decimal if the value of tenth place is 5 or bigger than 5 then we add 1 to the tens place digit, this is the fundamental rule of rounding off.

Now on following this rule from the very right hand side up to the tenth place digit we come to the conclusion that only  the value after the decimal (934) is to be rounded off which is (900).

So 999.09344471 km is finally becomes 999.900 km after rounding of to nearest hundredth value.

Again rounding off 999.900 km to nearest km so it becomes 1000 km.

The nearest kilometers to 999.09344471 km is 1000 km.

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The mathematical function that models Autumn's situation of saving $500 that she keeps at home and does not add to the savings is G(x) = 500 + 0x.

A mathematical function is an equation, expression, rule, or law defining the relationship between the independent variable and the dependent variable.

There are many types of mathematical function, including:

The amount that Autumn saved = $500

The amount that Autumn adds to the savings = $0

Let the number of periods that Autumn saves the above amount = x

G(x) = 500 + 0x

Thus, based on the linear function above, the amount that Autumn saved would remain $500 after many periods.

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Answer:

x = 15

Step-by-step explanation:

the segment inside the triangle is an angle bisector and divides the side opposite the bisected angle into segments that are proportional to the other two sides, that is

\(\frac{x}{21-x}\) = \(\frac{25}{10}\) ( cross- multiply )

10x = 25(21 - x)

10x = 525 - 25x ( add 25x to both sides )

35x = 525 ( divide both sides by 35 )

x = 15

Answer:

The slope is 2.5

Step-by-step explanation:

y = 2.5x + 5   or

y =   5/2x + 5

When x=0, y = 5

When y=0, x = -2

Answer:

slope  = 5/2

\(y = \frac{5}{2}x + 5\)

Step-by-step explanation:

(x₁ ,y₁) = (-4 , -5)    & (x₂, y₂) = (2 , 10)

\(Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\frac{10-[-5]}{2-[-4]}\\\\=\frac{10+5}{2+4}\\\\=\frac{15}{6}\\\\=\frac{5}{2}\\\\= 2.5\)

m = 5/2 ;  (-4 , -5)

Equation: y - y1 = m(x -x1)

                \(y - [-5] = \frac{5}{2}*(x - [-4])\\\\y + 5 = \frac{5}{2}(x + 4)\\\\y + 5 =\frac{5}{2}x + \frac{5}{2}*4\\\\y + 5 = \frac{5}{2}x + 5*2\\\\y + 5 = \frac{5}{2}x + 10\\\\ y = \frac{5}{2}x + 10 - 5\\\\ y = \frac{5}{2}x + 5\)

Answer:

\(f^{-1}(x)=\frac{\ln(x+4)}{2}\)

Step-by-step explanation:

\(y=e^{2x}-4\\\\x=e^{2y}-4\\x+4=e^{2y}\\\ln(x+4)=2y\\\frac{\ln(x+4)}{2}=y\\\\f^{-1}(x)=\frac{\ln(x+4)}{2}\)

Just swap x and y in the original function, and then solve for y to get the inverse function.

Answer:

$632.66 is the amount of money in the savings account after graduation

Step-by-step explanation:

There are 12 grades in high school. So the number of years before graduation here is 6 years.

Now to know the amount of money, the equation to use is;

A(t) = a(1+r)^t

Here;

A(t) = ?

a = 500

r = 4% = 4/100 = 0.04

t = 6 years

Substituting these values into the equation, we have;

A(t) = 500(1 + 0.04)^6

A(t) = 500(1.04)^6

A(t) = $632.66

Answer:

it's 600

Step-by-step explanation:

that's not an option there but...

10% of 800 is 80

5% of 800 is 40

80 × 7 = 560

560 + 40 = 600

Answer:
Jamie = £8.40

Paul = £5.

Step-by-step explanation:

Let J be Jamie's amount and P be Paul's amount.

We know that J + P = 13.40, and that J = P + 3.40.

We can substitute the second equation into the first equation to solve for P:

J + P = 13.40

J = P + 3.40

Substituting the second equation into the first equation:

(P + 3.40) + P = 13.40

Combining like terms:

2P + 3.40 = 13.40

Subtracting 3.40 from both sides:

2P = 10

Dividing both sides by 2:

P = 5

Now that we know Paul has £5, we can substitute that value back into one of the original equations to find Jamie's amount:

J = P + 3.40

J = 5 + 3.40

J = 8.40

So, Jamie has £8.40 and Paul has £5.

2.1. Number sense refers to a person's intuitive understanding and flexibility with numbers.

2.2 Number sense is of utmost importance in elementary mathematics education as it serves as the foundation for more advanced mathematical concepts and skills.

2.1 It involves the ability to comprehend and manipulate numerical quantities, make reasonable estimates, recognize patterns and relationships, and use numbers in practical and meaningful ways. Number sense goes beyond mere memorization of numerical facts and procedures; it encompasses a deep understanding of the structure and properties of numbers.

2.2 Number sense is of utmost importance in elementary mathematics education as it serves as the foundation for more advanced mathematical concepts and skills.

In summary, number sense is vital in energizing mathematics because it fosters conceptual understanding, supports problem-solving abilities, enhances mathematical fluency, promotes mathematical reasoning, and facilitates real-world applications of mathematics.

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Lowest price of an iPhone in Paris is €800 because they stated that one euro is equal to one dollar; when multiplied, the result is 944; this indicates that the iPhone is priced lower in Paris.

It is possible to compare the conversion rates of sterling into the euro and the dollar using the same amount of pounds.

Sterling to Euro : \($750 \times 1.14=6855$\)

Pounds to dollars : \($750 \times 1.39=\$ 1042.5$\)

One phone may be purchased with one pound. The dollar is insufficient to purchase a cell phone, but the euro has enough money to do so. Paris has the lowest pricing for the iPhone from this perspective.

The iPhone SE (2020), which costs Rs 40,000, costs more over a lakh rupees according to the most recent Apple price list for India. Everywhere in the globe, the USA market offers the cheapest prices for iPhones.

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For any k ∈ (-∞, o), function f is strictly decreasing on the interval (-1, 1).

In mathematics, a function is a relationship or mapping between two sets of elements, known as the domain and the codomain, that assigns each element from the domain to a unique element in the codomain. It describes how inputs from the domain are transformed or related to corresponding outputs in the codomain.

The given function is f = \(\frac{kx}{x^2+1}\) ...(1),

Differentiate (1) w.r.t. x,

\(\dfrac{d}{dx}f = \dfrac{d}{dx}\frac{kx}{x^2+1}\)

f' = \(k\frac{1-x^2}{(x^2 + 1)^2}\)

Since f is decreasing on (-1, 1),

therefore

f' < 0 on (-1, 1),

\(k\frac{1-x^2}{(x^2 + 1)^2}\) < 0 on (-1, 1).

As \(\frac{1-x^2}{(x^2 + 1)^2}\) > 0 on (-1, 1),

k < 0 for f' < 0.

Therefore, k ∈ (-∞, o) for f to be strictly decreasing on (-1, 1).

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The complete question is as follows:

Let f be the function given by \(\frac{kx}{x^2+1}\), where k is a constant. For what values of k, if any, is f strictly decreasing on the interval (-1, 1)?

The percentage of the distance Dominic is on the path is his distance

travelled as a fraction of the total distance when equivalent to 100.

The distance he has travelled on the path is 8.75 miles.

The given parameter are;

Length of Dominic's path = 12.5 miles

The length of the way Dominic is to the end = 70%

Required:

The distance Dominic has travelled on the path

The distance Dominic has travelled, D is 70% of 12.5 miles.

70% of 12.5 miles = 70% × 12.5 miles = 8.75 miles

The distance Dominic has travelled on the path, D = 8.75 miles

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Answer:

17/18

Step-by-step explanation:

To add fractions, you need to have common denominators. (4/9)*(2/2)=8/18.

Now that they have common denominators, you can add 8 and 9 to get 17. So, the answer would be the second one, 17/18.

Answer:

r u just cheating ur way through a whole test lol

Step-by-step explanation:

its B or 17/18

Answer:

it's the third bubble

Step-by-step explanation:

Answer:

n³ - 2n² - 3n + 2 + (2 / x - 4)

Step-by-step explanation:

n^4 - 6n³ + 5n² + 14n - 6

(n - 4) x n³

n^4 - 6n³ + 5n² + 14n - 6

-n^4 + 4n³

-2n³ + 5n² + 14n - 6

(n - 4) x -2n²

-2n³ + 5n² + 14n - 6

2n³ - 8n²

-3n² + 14n - 6

(n - 4) x -3n

-3n² + 14n - 6

3n² - 12n

2n- 6

(n - 4) x 2

2n - 6

-2n + 8

R. 2 / x - 4

I hope this helps!

Answer:

55

70

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

55 and 70

Step-by-step explanation:

5÷2=2.5

20÷8=2.5

45÷18=2.5

so

22×2.5=55

and

28×2.5=70

when the scale factor is 1, we have:

(side length of side opposite ∠A) / (length of hypotenuse) = sin A

When the scale factor is 1, the ratio of the side length of the side opposite ∠A to the length of the hypotenuse remains the same as in the original triangle. In a right triangle, the side opposite ∠A is referred to as the "opposite" side, and the hypotenuse is the longest side.

The ratio of the side length of the side opposite ∠A to the length of the hypotenuse is commonly known as the sine of angle A (sin A). So, when the scale factor is 1, the ratio of the side length of the side opposite ∠A to the length of the hypotenuse is equal to sin A.

In mathematical terms, when the scale factor is 1, we have:

(side length of side opposite ∠A) / (length of hypotenuse) = sin A

It's important to note that this ratio holds true for any right triangle, regardless of its size or dimensions, as long as the angle A remains the same.

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The size of the exterior angle in the given 7-sided shape, as shown in the image attached below is: x = 46°.

To calculate the size of the exterior angle in a polygon when the interior angle is known, we can use the following relationship:

Interior angle + Exterior angle = 180°

Given that the interior angle measures 134°, as shown in the image below, we can substitute it into the equation:

134° + Exterior angle = 180°

To isolate the exterior angle, we subtract 134° from both sides of the equation:

Exterior angle = 180° - 134°

Simplifying further:

Exterior angle = 46°

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Answer:

Mason recieved 15 points for answering the question correctly so that means that he had -15 points before. The points would be at -15 and 0.

0 and -15 because he is at 0 after the question so he would have been in the negatives before the question. He would have been at -15 before the question.

Answer: Answer below

Step-by-step explanation: So you would simply have to divide 8 into 72 which would be 9.

we can verify our answer by doing 9x8 which equals 72.

Answer: 9

Step-by-step explanation:

bears divided by shelves = number of bears per shelf

72 bears divided by 8 shelves= 9 bears per shelf

Austin's rate of motion is (1/70)π Radians per second.

To determine Austin's rate of motion in radians per second, we need to use the formula for angular velocity:

ω = Δθ / Δt

Where:

ω = angular velocity (in radians per second)

Δθ = change in angular displacement (in radians)

Δt = change in time (in seconds)

We know that Austin runs three-quarters of a circular track, which means he covers an arc length that is equal to three-quarters of the circumference of the circle. Let's call the radius of the circle "r". Then, the arc length covered by Austin is given by:

s = (3/4) * 2πr

s = (3/2)πr

We also know that it takes Austin 1 minute and 45 seconds to cover this distance. This is the same as 105 seconds (since 1 minute = 60 seconds).

So, Δt = 105 seconds

Now, we can calculate the change in angular displacement (Δθ). The total angle around a circle is 2π radians, so the angle covered by Austin is given by:

Δθ = (3/4) * 2π

Δθ = (3/2)π

Therefore, Austin's rate of motion (ω) in radians per second is:

ω = Δθ / Δt

ω = [(3/2)π] / 105

ω = (3/210)π

ω = (1/70)π radians per second

So, Austin's rate of motion is (1/70)π radians per second.

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Answer:

There are 40 apples in the basket.

This is because 5 apples to 3 pears have a difference of 1.66666667 when dividing 5 by 3 to show the ratio difference. Then, all you do is multiply this number by the number of total pears which would look like 24 x 1.66666667 = 40.

I hope this helped you, have an amazing day! :)

21.931% of Nicole's monthly pay goes to rent.

percent = (638/2900) x 100

percent = 0.21931 x 100

percent = 21.931%

Step-by-step explanation:

Total ratio=20

Zack's ratio=9

Zack's percentage on money received=9/20×100

=45%

Answer:

Step-by-step explanation:

Ratio = 9 : 11

Total share = 9 + 11 = 20

Zack's share = 9/20

\(Percentage \ of \ Zack's \ money = \dfrac{9}{20}*100\)

                                               = 9 * 5

                                              = 45%

Answer:A topic sentence is used to bring

to a paragraph.

Step-by-step explanation:

A topic sentence is used to bring

to a paragraph.

Answer:

4629/64 or 72 21/64

Step-by-step explanation:

Answer:

P(A∩B) = 0

P(A) = 0.1667

P(B) = 0.8333

=================================================

Explanation:

The events

are mutually exclusive. There isn't any overlap. This is because event B involves "at least 2 rolls", meaning we cannot get 5 on the first roll. Either event A happens, or B does, but not both at the same time.

This allows us to say P(A∩B) = 0

In a venn diagram, the overlapped region between circles A and B would have probability 0 marked inside.

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

P(A) = 1/6 since there is exactly one side labeled "5" out of 6 sides total. This converts to the approximate decimal form 1/6 = 0.1667 when rounding to four decimal places. The 6's go on forever, but of course we have to round at some point.

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

We found that P(A) = 1/6. The complement to this is 1-(1/6) = 5/6, which is the probability of rolling anything but a "5". This fraction represents the scenario "at least 2 rolls are needed for the 1st '5' to show up" since we forced the first roll to be anything but 5.

Put another way, we have two options:

The two probabilities 1/6 and 5/6 add to 6/6, aka 1, to represent 100% of all possible cases. This means P(A)+P(B) = 1 for this scenario.

The fraction 5/6 converts to the approximate decimal form of 5/6 = 0.8333; use a calculator or long division to determine this value.

Answer:

The answer is [B Josh, because when dividing by a power of 10, the decimal moves to the left]

Answer: the answer is B

Step-by-step explanation:

The expression that is equal to the given Polynomial expression is (x^3-4)(2x+5).

The polynomial expression given is 2x^4+5x^3-8x-20. We have to identify the expression that is equal to this given polynomial expression.

We will factor the given polynomial expression to determine the equivalent expression. We can use factorization by grouping to factor the expression completely and determine the equivalent expression .

Factorization by grouping:

We can group the first two terms 2x^4 and 5x^3 together and factor out x^3 from them. We can also group the last two terms -8x and -20 together and factor out -4 from them.

This gives us;2x^4+5x^3-8x-20= x^3(2x+5)-4(2x+5) =(x^3-4)(2x+5)

Therefore, the expression that is equal to the given polynomial expression is (x^3-4)(2x+5).

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