write the linear equation from the points below using y=mx+b

Answer:

Percent 40% Fraction 4/10 or 40/100 Decimal .40

Step-by-step explanation:

The transformations of f(x) are (a) a horizontal shrink by a factor of 1/4,

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

f(x) = x²

g(x) = (4x)²

Mathematically, these equations can be represented as

g(x) = f(4x)

The above equations implies that, we have the transformation to be:

The 4x implies that the function f(x) is horizontally shrunk by a factor of 1/4

Hence, the transformed function is (a)

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Answer:

$3.20/gallon

Step-by-step explanation:

to fill up your tank at $3.20/gallon only costs $38.40

Answer:

The first image is an Isosceles Triangle and Acute

Step-by-step explanation:

obtuse triangle.

obtuse triangle

Answer:

Here is an example

Use distributive property to write an expression that is equivalent to 5 x + 25. Solution : 5x + 25 = 5x + 5(5) 5x + 25 = 5(x + 5) Example 7 : Use distributive property to write an expression that is equivalent to 7y + 5y. Solution : 7y + 5y = y(7 + 5) Example 8 : Use distributive property to write an expression that is equivalent to 0.2y + z.

Step-by-step explanation:

The Pink Party Punch has a stronger lemon-lime flavor because it has a higher volume of 6 liters.

Volume can be defined as the total quantity of a substance that a container can hold at a given period of time. Also, the volume of a container is measured in:

Based on the information provided in the table above, we can infer and logically deduce that the Pink Party Punch has a stronger lemon-lime flavor because it has a higher volume of 6 liters.

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Answer:GCF of 45 and 63 is 9.

Step-by-step explanation:

factors of 45 are 1,3,5,9,15,45

factors  of 63 are 1,3,7,9,21,63

so the greatest common factor or GCF of 45 and 63 is 9

The greatest common factor of 45 and 63 is equal to 9.

To find the greatest common factor (GCF) of 45 and 63;

First List the factors of each number.

The factors of 45 are;

1, 3, 5, 9, 15, 45.

The factors of 63 are:

1, 3, 7, 9, 21, 63.

Now, Identify the common factors.

The common factors of 45 and 63 are:

1, 3, 9.

To Determine the greatest common factor.

The greatest common factor of 45 and 63 is 9.

Therefore, the GCF of 45 and 63 is 9.

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Answer:

Each student must raise $14.90

Step-by-step explanation:

This is actually fairly easy to figure out (at least this part) all you do is 447/30 and then you get your 14.9 (14.90)

m = 14.90

30m = 447

Answer:

Step-by-step explanation:

We know that the sides in a square are equal length. We also know that you have to multiply length by width to get area. So if we know that the length of one side is 16 feet then all we have to do if multiply 16 by 16. Hence why the answer is 256 square feet of carpet.

Answer:

Option D.   \(g(x)=5(0.8)^{x}+2\)

Step-by-step explanation:

Main concepts

Concept 1: identifying horizontal asymptote

Concept 2: assuring decreasing exponential function

Concept 1. identifying horizontal asymptote

Any exponential function of the form \(y=a*b^x\) has a horizontal asymptote on the x-axis.  A constant (positive or negative) added to the end of the exponential expression will shift the graph of the exponential function up (if positive) or down (if negative) the number of units equal to the magnitude of the number.  Since the original function f(x) has a "+2" at the end, it has been shifted up 2 units.  Thus, we can eliminate answers A and C from feasible answers since they each shift the exponential function up 3 units, not 2.

Concept 2. assuring decreasing exponential function

Exponential functions of the form \(y=a*b^x\) increase or decrease based on the value of "b".

Observe that the graph of the function f(x) is decreasing, and the value of b=0.5.

To ensure that g(x) also decreases, the b-value must be between 0 and 1, which eliminates option B.

Option D is the correct answer because the value of "b" is between 0 and 1 (making the graph of the function a decreasing exponential), and the number added at the end is "+2", causing the horizontal asymptote to be at a height of positive 2.

There are 3 rectangles and 2 triangles in the prism

rectangles: (12 × 10) + (9 × 10) + (15 × 10)

triangles: 2 × (1/2 × 9 × 12) = 9 × 12

Add them all up and you get the answer of 468 in²

There are a total of 1,023 possible ways to select a group of 9 students from 10 students. This is calculated by using the formula 10!/(10-9)! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1/1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 = 1,023.

To calculate the number of possible ways to select a group of 9 students from 10 students, the following steps should be taken:

1. Start by writing out the formula: 10!/(10-9)!

2. Multiply 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1: 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

3. Divide the above result by 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9: 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1/1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9

4. The result of this calculation is 1,023, which is the total number of possible ways to select a group of 9 students from 10 students.

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The 98% confidence interval for the true mean statistics anxiety score μ is approximately (39.023, 39.777).

To calculate the 98% confidence interval for the true mean statistics anxiety score μ, we can use the formula:

\(\[\text{CI} = \bar{X} \pm Z \cdot \left(\frac{\sigma}{\sqrt{n}}\right)\]\)

where \(\bar{X}\) is the sample mean (39.4), Z is the Z-score corresponding to the desired confidence level (in this case, 98% corresponds to a Z-score of 2.33), σ is the population standard deviation (0.9), and n is the sample size (33).

Plugging in the values, we get:

CI = 39.4 ± 2.33 * (0.9/√33).

Calculating this expression, we find:

CI = 39.4 ± 2.33 * (0.162),

CI ≈ 39.4 ± 0.377.

Therefore, the 98% confidence interval for the true mean statistics anxiety score μ is approximately (39.023, 39.777).

This means that we are 98% confident that the true average statistics anxiety score for all undergraduate students in the U.S. falls within this interval.

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Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

Answer:

  -66.7%

Step-by-step explanation:

The percentage change is given by ...

  (amount of change)/(original amount) × 100%

In this case, that is ...

  (25 -75)/75 × 100% = -50/75 × 100% = -66 2/3% ≈ -66.7%

The percentage change from 75 to 25 is -66.7%.

Answer:

The least three-digit number which leaves a remainder of 1 when divided by 5 or 6 is 101.

Step-by-step explanation:

This is because 101 is the smallest three-digit number which is not a multiple of either 5 or 6. To see that 101 is the smallest such number, you can check that 100 and 99 are both multiples of both 5 and 6, and 98 is a multiple of 6.

The expansion of the function \((3x - 4)^4\) simplifies to \(81x^4 - 432x^3 + 864x^2 - 768x + 256.\)

To expand the function \(f(x) = (3x - 4)^4\), we can use the binomial theorem. According to the binomial theorem, for any real numbers a and b and a positive integer n, the expansion of \((a + b)^n\) can be written as:

\((a + b)^n = C(n, 0)a^n b^0 + C(n, 1)a^{(n-1)} b^1 + C(n, 2)a^{(n-2)} b^2 + ... + C(n, n-1)a^1 b^{(n-1)} + C(n, n)a^0 b^n\)

where C(n, k) represents the binomial coefficient, which is given by C(n, k) = n! / (k!(n-k)!).

Applying this formula to our function \(f(x) = (3x - 4)^4\), we have:

\(f(x) = C(4, 0)(3x)^4 (-4)^0 + C(4, 1)(3x)^3 (-4)^1 + C(4, 2)(3x)^2 (-4)^2 + C(4, 3)(3x)^1 (-4)^3 + C(4, 4)(3x)^0 (-4)^4\)

Simplifying each term, we get:

\(f(x) = 81x^4 + (-432x^3) + 864x^2 + (-768x) + 256\)

Therefore, the expanded form of the function \(f(x) = (3x - 4)^4\) is \(81x^4 - 432x^3 + 864x^2 - 768x + 256\).

Note that the coefficient of \(x^3\) is -432, the coefficient of \(x^2\) is 864, the coefficient of x is -768, and the constant term is 256.

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Note the complete question is

Answer:

Grater than ( < ), and less than ( > ).

Using the height and radius given, the surface area of the cylinder is 408.2m²

The surface area of a cylinder is the combined area of its curved surface (lateral surface) and its two circular bases. The formula for the surface area of a cylinder is:

A = 2πrh + 2πr²

where:

In the given question, the data are;

Substituting the value into the formula

A = 2π(5 * 8) + 2π(5)²

A = 408.2m²

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Our solution set is correct because it contains valid solutions.

We want to eliminate the inequality:

√c + 9 - √c > √3

First, we simplify the inequality's left side:

9 - √c > √3

Following that, we square both sides of the inequality:

81 - 2√c + c > 3

Now we simplify the inequality's right side:

c + 78 > 3

Finally, take 78 off both sides of the inequality:

c > -75

This gives us the following solution set:

c ∈ (-∞, -75) U (-75, ∞)

We test a value from each interval to validate our solution set:

Let's go with c = -100, which is in the range (-, -75). Putting it into context with the original inequality:

√(-100) + 9 - √(-100) > √3

Because the square root of a negative number is not defined, this choice of c is invalid.

Let us choose c = 0, which is in the range (-75,). Putting it into context with the original inequality:

√0 + 9 - √0 > √3

Because 9 > 3, this choice of c is a valid solution.

We can conclude that our solution set is correct because it contains valid solutions.

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Answer:

18

Step-by-step explanation:

Mode is the value that appears most often in a set of data values. So, in this case, the answer is 18.

Answer:

-7/8

Step-by-step explanation:

7x+8y=56

8y=-7x+56

8y/8=(-7x+56)/8

y=(-7/8)x+7

Slope is the rate of change.

The missing number in the expression (5 x 7) + (n x 4) = 5 x (7+ 4) is 5.

The GCF of two or more than two numbers is the highest number that divides the given two numbers completely.

We also know that distributive property states a(b + c) = ab + ac.

Given, An expression (5 × 7) + (n × 4) = 5 × (7 + 4).

Now, If we expand the RHS we have,

5×(7 + 4).

= (5 × 7) + (5 × 4).

Now, Writing the obtained RHS with LHS we have,

(5 × 7) + (n × 4) =  (5 × 7) + (5 × 4).

So, The missing number is 5.

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Answer:

Step-by-step explanation:

inorder to solve the area of the shaded area;°/360ñRsquared

arc length you use ;°/360ñD

Answer:

$462.7

Step-by-step explanation:

15% commission on $54

= $8.1

he sell 27 boards so

8.1 × 27=$218.7

so

$245.00+$218.7=$463.7

Answer: 53

Step-by-step explanation:

There is no diagram here but I am assuming QR and ST are parallel, otherwise I believe the question isn't possible.

Two pairs of sides are parallel in a parallelogram, meaning they are equal.

As a result, we can make the two equation for the lengths equal to each other.

5x-12 = 2x+27

3x = 27+12

3x = 39

x = 13

Now that have found x, we can substitute this back into the equation for the length of ST.

2x+27

2(13) + 27

= 53

Answer:

I believe the answer is A. true

Answer:

True

Step-by-step explanation:

Answer:

side 1^2 + side 2 ^2 = hypotenuse ^ 2

18^2 + 20^2 = hypotenuse^2

324 + 400 = 724

hypotenuse^2 = 724

hypotenuse = 26.9072480941474

hypotenuse = 26.9

Step-by-step explanation:

Answer:

Step-by-step explanation:

From the missing information;

Lets assume that;

\(\text{the exponential distribution mean = 500 thousand naira}\)

\(\text{Range 100 thousand}\) → \(\text{1 million naira}\)

∴

a)

\(X \sim exp (\dfrac{1}{500}) \\ \\ P( X \le x) = 1 - e^{\dfrac{-x}{500}} \\ \\ P(X < 700) = 1 - e^{\frac{-7}{5}} \\ \\ \mathbf{P(X< 700) = 0.75340}\)

b)

\(Y \sim \cup (100,1000) \implies P(Y \le y ) = \dfrac{y - 100}{1000-100} \\ \\ P(Y < 700) = \dfrac{600}{900} = 0.67\)

c)

\(P(X < 830)= 1 - e^{\frac{-830}{500}} \\ \\ P(X < 830)= 1 - 0.1901 \\ \\ P(X < 830)=0.8099 \\ \\ P(Y < 830) = \dfrac{730}{900} = 0.8111 \\ \\ Thus;\mathbf{ P(X < 0.8099) = P(Y< 0.8111)}\)

Answer:

I think its answer A I think so