Which of the following expressions is written in scientific notation? (math)

Answer:

36/2=18

18/2=9

9/3=3

3/3=1

List out the factors used: 2, 2, 3 & 3.

Pick one out of pairs of factors available: 2 & 3.

Multiply them: 2×3 = 6

6 is the square root of 36.

Step-by-step explanation:

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Answer:

Hypotenuse² = Base² + Altitude²

35² = 15² + x²

1225 = 225 + x²

x² = 1225 - 225

x² = 1000

X = 10√10

Answer:

D)

Step-by-step explanation:

Answer:

Option b: 2 21/50 is equivalent to 2.42

The function g(x) can be derived from f(x) by vertical dilation and vertical translation. f(x) = (13 / 4) · x³ - (1 / 2) · x² + (7 / 4) · x + 3 / 2 and g(x) = (125 / 7306) · x³ - (125 / 47789) · x² + (875 / 94978) · x + 375 / 47489 + 2.502.

In this question we must infer what kinds of rigid transformations were used to obtain g(x) in terms of f(x). Points A and B belong to the function f(x) and points A' and B' lie on the curve of function g(x). Rigid transformations are transformations applied on functions such that Euclidean distance is conserved.

We noticed the use of rigid transformations on f(x) such that g(x) is found:

Vertical dilation

f'(x) = k · f(x), where k > 0

Vertical translation

g(x) = k · f(x) + c, where c is the translation factor.

We notice that both f(x) and g(x) are both cubic functions. The former has a vertex at (x, y) = (0, 1.5). First, we determine the coefficients of f(x) by solving the following system of linear equations:

(x₁, y₁) = (1, 6), (x₂, y₂) = (- 2, - 30), (x₃, y₃) = (0, 1.5), (x₄, y₄) = (- 1, - 4)

a + b + c + d = 6

- 8 · a + 4 · b - 2 · c + d = - 30

d = 1.5

- a + b - c + d = - 4

The solution of the system is (a, b, c, d) = (13 / 4, - 1 / 2, 7 / 4, 3 / 2). Then, the expression for the function f(x) is f(x) = (13 / 4) · x³ - (1 / 2) · x² + (7 / 4) · x + 3 / 2.

Now we evaluate the function f(x) at x = 7 and x = - 8:

f(7) = (13 / 4) · 7³ - (1 / 2) · 7² + (7 / 4) · 7 + 3 / 2

f(7) = 1104

f(- 8) = (13 / 4) · (- 8)³ - (1 / 2) · (- 8)² + (7 / 4) · (- 8) + 3 / 2

f(- 8) = - 3417 / 2

Now we determine the coefficient of dilation and the translation factor:

f(7) = 1104, f(- 8) = - 3417 / 2, g(7) = 2.5, g(- 8) = - 6.5

2.5 = 1104 · k + c

- 6.5 = - 3417 · k / 2 + c

The solution of the system of linear equations is (k, c) = (250 / 47489, 2.494). Then, we find that the expression for g(x) is g(x) = (250 / 47489) · [(13 / 4) · x³ - (1 / 2) · x² + (7 / 4) · x + 3 / 2] + 2.494, whose simplest form is:

g(x) = (125 / 7306) · x³ - (125 / 47789) · x² + (875 / 94978) · x + 375 / 47489 + 2.494

g(x) = (125 / 7306) · x³ - (125 / 47789) · x² + (875 / 94978) · x + 375 / 47489 + 2.502

The function g(x) can be derived from f(x) by vertical dilation and vertical translation. f(x) = (13 / 4) · x³ - (1 / 2) · x² + (7 / 4) · x + 3 / 2 and g(x) = (125 / 7306) · x³ - (125 / 47789) · x² + (875 / 94978) · x + 375 / 47489 + 2.502.

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Temperature of refrigerators - Cannot determine. Horsepower of race car engines - Ratio. Marital status of school board members - Nominal. Ratings of television programs - Ordinal. Ages of children enrolled in a daycare - Interval

The level of measurement for the temperature of refrigerators cannot be determined based on the given information. The temperature could potentially be measured on a nominal scale if the refrigerators were categorized into different temperature ranges. However, without further context, it is not possible to determine the specific level of measurement.

The horsepower of race car engines can be measured on a ratio scale. Ratio scales have a meaningful zero point and allow for meaningful comparisons of values, such as determining that one engine has twice the horsepower of another.

The marital status of school board members can be measured on a nominal scale. Nominal scales are used for categorical data without any inherent order or ranking. Marital status categories, such as "married," "single," "divorced," etc., can be assigned to school board members.

The ratings of television programs, such as "poor," "fair," "good," and "excellent," can be measured on an ordinal scale. Ordinal scales represent data with ordered categories or ranks, but the differences between categories may not be equal or measurable.

The ages of children enrolled in a daycare can be measured on an interval scale. Interval scales have equal intervals between values, allowing for meaningful differences and comparisons. Age, measured in years or months, can be represented on an interval scale.

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Calculate each of the probabilities using the formulas above, and subtract the cumulative probability of 5 or fewer adults saying yes from 1 to find the probability of more than 6 adults saying yes.

To solve this problem, we can use the binomial probability formula. Let's break down the information given:

Probability of an adult knowing what they will have for dinner: 28% or 0.28

Number of adults asked: 22

We want to find the probability that more than 6 adults will say yes.

First, let's find the probability of exactly 6 adults saying yes:

P(X = 6) = (22 C 6) * (0.28^6) * (0.72^16)

Here, (22 C 6) represents the number of combinations of choosing 6 adults out of 22. The term (0.28^6) represents the probability of 6 adults saying yes, and (0.72^16) represents the probability of the remaining 16 adults saying no.

Next, let's find the probability of 5 or fewer adults saying yes:

P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)

To calculate P(X = 0), P(X = 1), ..., P(X = 5), P(X = 6), you can use the same formula as above, plugging in the respective values of X.

Finally, to find the probability of more than 6 adults saying yes, we can subtract the probability of 5 or fewer adults saying yes from 1:

P(X > 6) = 1 - P(X ≤ 6)

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The statement "All seasons had the same level of variability in game scores" must be false.

To determine which statement must be true based on the mean game scores and standard deviations of four seasons of a football team, we need to analyze the data provided.

Given:

Season 2005: Mean = 193.5, Standard Deviation = 0

Season 2006: Mean = 212.8, Standard Deviation = 0

Season 2007: Mean = 121.0, Standard Deviation = 0

Season 2008: Mean = 94.0, Standard Deviation = 0

From the given data, we observe that all the standard deviations are zero. This indicates that there is no variation or spread in the game scores within each season. However, it is highly unlikely for a football team to have zero variation in game scores across multiple seasons.

Therefore, the statement "All seasons had the same level of variability in game scores" must be false.

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Answer:

This relationship is not a function.

Answer:

x= y+1/10

Step-by-step explanation:

y = 10x-1

y+1 = 10x

y+1/10 = x

y+1/10

Step-by-step explanation:

1. Add 1

2.divide by 10

Answer: 29.12 cups of coffee

Step-by-step explanation:

16 cups of coffee x 0.82 = 13.12

13.12 + 16 = 29.12

Answer:

Where are the statements to choose from??

Answer:

The graph is a function of x because the line y = 5 does not intersect the graph

Step-by-step explanation:

If p > 2 is prime, then the value of 2p - 2 mod p is 2 - 2/p.

Prime number: A prime number is a positive integer greater than 1 that has no positive integer divisors other than 1 and itself. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29, with many others following them. Prime numbers are of interest because of their special properties in arithmetic, particularly in number theory. A prime number is an odd number greater than 2 because if it is even, it is divisible by 2, which contradicts the assumption that it is prime.

Using the given formula, we can solve the problem as follows:

2p - 2 mod p

= 2 - 2/p= 2 - 2/(p-1) * (p-1)/p

= (2p - 2)/(p(p-1)/p)

= (2p - 2)/1

= 2 - 2/p

Therefore, the value of 2p - 2 mod p is 2 - 2/p.

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Using trigonometric functions, we can find the value of the missing sides as follows:

AC = 15.48units.

AB = 9units.

The right triangle's angle serves as the domain input value for the six fundamental trigonometric operations, which return a range of numbers as their output. The angle, expressed in degrees or radians, is the domain of the trigonometric function of f(x) = sin, also referred to as the "trig function," and its range is [-1, 1]. In terms of their domain and scope, the other functions are comparable. Algebra, geometry, and calculus all make extensive use of trigonometric functions.

Here in the question,

As per the trigonometric function:

Sin30° = opposite side/hypotenuse

⇒ 1/2 = AB/18

Cross multiplying:

⇒ AB = 18/2

⇒ AB = 9units.

Now,

Cos30° = adjacent side/hypotenuse

⇒ 0.86 = AC/18

Cross multiplying:

⇒ AC = 15.48units.

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The area of a rectangle is increasing at a constant rate of 3.5 cm²/s when the length is increasing at a constant rate of 3 cm/s and the width is increasing at a constant rate of 0.5 cm/s.

The area of a rectangle is calculated as length multiplied by width (A = L x W). At the given time, the length is 5 cm and the width is 1.2 cm, so the area is 6 cm². When the length is increasing at a constant rate of 3 cm/s, and the width is increasing at a constant rate of 0.5 cm/s, then the area is increasing at a rate of 3.5 cm²/s. This can be calculated by multiplying the constant rate of increase of the length and width together (3 x 0.5 = 1.5). This is the rate of increase of the area and is expressed as 3.5 cm²/s This can be calculated by multiplying the constant rate of increase of the length and width together (3 x 0.5 = 1.5).

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Step-by-step explanation:

5x + 2y = 6

m = -a/b

m = -5/2

Option → A

The expected number of points scored when the distance between the shot and the target is uniformly distributed between 0 and 10 is  5.5 points.

The expected number of points scored when the distance between the shot and the target is uniformly distributed between 0 and 10 can be calculated using the following formula:

Expected Value = \(\frac{(10XArea of Region 1 + 5XArea of Region 2 + 3Xrea of Region 3 + 0XArea of Region 4)}{Total Area}\)

Region 1 is between 0 and 1 inches, Region 2 is between 1 and 3 inches, Region 3 is between 3 and 6 inches and Region 4 is between 6 and 10 inches.

The total area is 10 (since the distance is uniformly distributed between 0 and 10) and the area of each region can be calculated using the following formulas:

Region 1 = 1/10

Region 2 = 2/10

Region 3 = 3/10

Region 4 = 4/10

Therefore,

The expected number of points scored when the distance between the shot and the target is uniformly distributed between 0 and 10 is,

(10*1/10 + 5*2/10 + 3*3/10 + 0*4/10)/10 = 5.5 points.

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Step-by-step explanation:

Using the rules of exponents:

6^7 / 6^3 =  6^(7-3) = 6^4

Answer:

  16x⁸y³

Step-by-step explanation:

You want to simplify (4x⁴y³)(4x⁴).

The relevant rule of exponents is ...

  (a^b)(a^c) = a^(b+c)

The simplified form is ...

  \((4x^4y^3)(4x^4) =(4\cdot4)x^{4+4}y^3=\boxed{16x^8y^3}\)

Answer:

3.65 ≤ x < 3.75

Step-by-step explanation:

We are finding the lower and upper bounds:

The lowest possible number that can be rounded to 3.7 is 3.65 as the 5 makes the 6 go next.

The maximum possible number to 2 d.p that will be 3.74 as the 4 keeps it at 3.7.

But someone can say 3.749 is a bigger number that 3.74 that will get rounded to 3.7

Someone else can argue with 3.7499.

So to solve this argumnet we put 3.75 but we don't include it.

Therefore our final answer is :

3.65 ≤ x < 3.75

Hope this helped and branliest please.

Answer:

6/12

Step-by-step explanation:

Got it right on test

Answer: 6 / 12

Step-by-step explanation: I took the test 2 hours ago xD

Answer:

435

Step-by-step explanation:

29% X 1500 = 435

The function best represented by the graph is y = - 5 x + 5 2y = - 5 x + 5². Option B.

Use the vertical line test to determine if a graph represents a function. A graph is a function if a vertical line moves across it and touches it only at one point at a time. If a vertical line touches a graph at multiple points, the graph is not a function.

Calculation:-

X intercept = 2

y intercept = 5

slopt = y/x

= 5/2

= 2.5

For the line to be perpendicular to each other angle must be 90⁰.

Hence option B.

B.y = - 5 x + 5

2y = - 5 x + 5 2

slope m = 5/2

2.5.

A function is defined as a relation between a set of inputs each with an output. Simply put, a function is a relationship between inputs, each associated with exactly one output. Each function has a domain and a codomain or scope. The graph of a quadratic function is called a parabola and has a curved shape. One of the main points of the parabola is the vertex.

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Let length of missing side is h. Then the length of h=8.12

A three-dimensional shape is a pyramid. A pyramid's flat triangular faces unite at a common point known as the apex and have a polygonal base. The bases are joined to the peak to create a pyramid. The lateral face is a triangle face formed by the connection of each edge of the base to the apex.

V=lwh/3

\(A=lw+l\sqrt{\frac{w^{2} }{4} +h^{2} }+w\sqrt{\frac{l^{2} }{4} +h^{2} }\)

where A=83

l=w=4

h= to find

Putting values in above equation

83= 16+4\(\sqrt{{4}+ h^{2} }\)+4\(\sqrt{{4} +h^{2} }\)

83=16+8\(\sqrt{{4}+h^{2} }\)

83-16=8\(\sqrt{{4}+h^{2}}\)

Simplify

h=8.12

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Answer:

y = 2/3x - 5

Step-by-step explanation:

If two lines are parallel, they have the same slope. This means the line we are looking for has a slope of 2/3. Since we are also given a point, we can start by writing the equation in point-slope form which is represented by

\(y-y_{1} =m(x-x_{1} )\)

Where m is the slope and (x1, y1) is a point. We have both, so we can substitute the values and simplify:

y + 1 = 2/3 (x - 6)

y + 1 = 2/3x - 4

y = 2/3x - 5

Answer:

y = 4x - 3

Step-by-step explanation:

When x = 0, y = -3

When y = 0, x = 3/4

Answer:

Hence, the distance between (7,8) and (-8,0) is:

17

Step-by-step explanation:    (a,b)=(7,8) and (c,d)=(-8,0)

Hope this helps!!!!!!

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

17 is the crect answer, thank you

Answer:

179 minutes

Step-by-step explanation:

From the information given, you know that the total cost of the long distance service is equal to 7 plus the result of multiplying 0.7 for the number of minutes:

Total cost=7+0.07x, where x is the amount of minutes.

Now, you can replace the total cost with 19.53 that is the amount Ali was billed and solve for x:

19.53=7+0.07x

19.53-7=0.07x

12.53=0.07x

x=12.53/0.07

x=179

According to this, the answer is that Ali was billed for 179 minutes.

Answer:

85.5

I multiplied 0.9 by 95 and got 85.5