simplify 4√(384.5)³ using logarithm​

The exponential function has the following form:

The function goes through the points ( 0, 19) and ( 2, 171 )

We will use the points to find the values of a and b

Substitute with the point ( 2, 171 ) and the value of a to find b

So, the answer will be:

Answer:

  53

Step-by-step explanation:

You want the value of a^2 +b^2, given that 'a' and 'b' are roots of the polynomial x^2 +7x -2.

If the roots are 'a' and 'b', then the factored form is ...

  (x -a)(x -b) = x^2 -(a+b)x +ab

Comparing this to the given polynomial, we see that ...

  -(a+b) = 7

  ab = -2

The expression a^2 +b^2 can be written as the sum ...

  a^2 +b^2 = a^2 +2ab +b^2 -2ab = (a+b)^2 -2ab

Using the values of (a+b) and ab from above, we see that ...

  a^2 +b^2 = (-7)^2 -2(-2) = 49 +4 = 53

The given expression has a value of 53.

Answer:

answer would be -6 since you are just subtracting -6 to move to the other side

Step-by-step explanation:

Answer:

W=x/7+ 8z/7 + 4/7

Step-by-step explanation:

The expression that represents the perimeter of the figure is  6x - 2

The figure above is a rectangle. A rectangle is a quadrilateral that has opposite sides equal to each other. Opposite sides are also parallel to each other.

Therefore, the perimeter of a rectangle is the sum of the sides of the rectangle.

Hence,

perimeter of the rectangle = 2(l + w)

where

Therefore,

l = 2x - 3

w = x + 2

Hence,

perimeter of the rectangle = 2(2x - 3 + x + 2)

perimeter of the rectangle = 2(2x + x - 3 + 2)

perimeter of the rectangle = 2(3x - 1)

Therefore,

perimeter of the rectangle = 6x - 2

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A computer is rendering two scenes then after 14 minutes of the scenes have the same amounts rendered.

As given in the question,

As per condition:

Computer rendered 540 thousands pixels of a kitchen scene and renders another 90kpx each minute:

The expression for the kitchen is illustrated as 540 + 90t

Computer rendered 960kpx of a garden scene and renders 60kpx more pixels each minute

The expression for the garden is illustrated as 960 + 60t

For the scenes have the same amounts rendered is given by :

540 + 90t = 960 + 60t

Collect like terms

90t - 60t = 960 - 540

⇒30t = 420

⇒t = 420/30

⇒t = 14

Therefore, a computer is rendering two scenes then after 14 minutes of the scenes have the same amounts rendered.

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Answer:

To stay within budget, she must use 3.9 gigabytes.

Caroline can use approximately 3.9 gigabytes of data while staying within her budget of $74 per month.

Let's assume the number of gigabytes of data Caroline can use while staying within her budget is represented by the variable "x."

The flat cost per month is $54.50, and Caroline pays an additional $5 per gigabyte.

If she wants to keep her bill at $74 per month, the equation can be set up as follows:

54.50 + 5x = 74

To solve for "x," we can isolate the variable on one side of the equation. First, subtract 54.50 from both sides:

5x = 74 - 54.50

5x = 19.50

Finally, divide both sides by 5:

x = 19.50 / 5

Simplifying the division gives us:

x = 3.9

Therefore, Caroline can use approximately 3.9 gigabytes of data while staying within her budget of $74 per month.

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The lower and upper bounds are 16.7 and 69.5 respectively.

So, the numbers are 30, 32, 37, 54, 67, 38, and 44.

In order to determine the lower bound and upper bound

Mean x' =Σ[tex]\frac{x}{n}[/tex] = 302/7 = 43.1429 = 43.1

Variance [tex]s^{2}[/tex] =Σ[tex]\frac{(x-x')^{2}}{n-1}[/tex] = 1048.86/(7-1) = 174.80952

Standard deviation = √174.80952 = 13.221555 = 13.2

Values that deviate more than two standard deviations from the mean are exceptional.

[tex]x -2s = 43.1 - 2*13.2 = 16.7[/tex] is the lower bound for uncommon values.

The upper bound that is exceptional is equal to

[tex]x + 2s = 43.1 + 2(13.2) = 69.5[/tex]

Therefore, 16.7 and 69.5 are the lower and upper bounds of given data

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It is calculated using the quadratic formula

In the equation

a = 1, b = -5 and c = 1

Substitute the given to the quadratic formula

The simplified form of the expression ( 9 × 10⁴ ) × ( 6 × 10⁻⁷ ) in scientific notation form is 5.4 × 10⁻²

The scientific notation form is simply a method of presenting larger or  smaller numbers in a more simple way.

Given the data in the question;

( 9 × 10⁴ ) × ( 6 × 10⁻⁷ )

First, multiply 9 and 6

( 9 × 10⁴ ) × ( 6 × 10⁻⁷ )

9 × 6 ( 10⁴ × 10⁻⁷ )

54( 10⁴ × 10⁻⁷ )

Next, multiply 10⁴ × 10⁻⁷  by adding the exponents.

Using power rule mᵃ × mᵇ = mᵃ ⁺ ᵇ

54( 10⁴ × 10⁻⁷ )

54( 10⁴ ⁺ ⁻⁷ )

54( 10⁴ ⁻⁷ )

Subtract 7 from 4

54 × 10⁻³

Move the decimal point in 54 to the left by place and increase the power of 10⁻³ by 1

5.4 × 10⁻³ ⁺ ¹

5.4 × 10⁻²

Therefore, the simplified form is 5.4 × 10⁻².

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The number of pages that Kamala needs to reach each day is p ≥ 30.

Here are inequality signs and what they mean:

The inequality sign that would be used is ≥. This is because the pages Kamala needs to read each day  can be equal to 235 or greater than 235

25 + 7p ≥ 235

Combine similar terms: 7p ≥ 235 - 25

Add similar terms:  7p ≥ 210

Divide both sides of the equation by 7: p ≥ 210 / 7

p ≥ 30

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hello

to solve for k, we'll do it in a stepwise manner

step 1

collect like terms

step 2 above was to take LCM

step 3

cross multiply both sides and solve for k

The next place value on the right should be used to round a number to the closest tenth (the hundredths). Simply take away all the digits to the right if it's 4 or fewer. Remove all the digits to the right after adding 1 to the digit in the tenths position if the number is five or above.

To what decimal place do you round?

Examine the hundredth number to determine the decimal number's nearest tenth. Add one to the tenth value if the number is more than 5. Remove all the numbers that are present after the tenth place if the value is less than 5, but keep the tenth place value in place otherwise. As an illustration, if you want to round up to the nearest.

Triangle Area Solver

A=hbb

2

b Base

Enter value

hb Height

Enter value

γ

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Answer: B

Step-by-step explanation:

The range of values for F(x) would be on the y - axis, so go up on the y - axis to find the points, and since it is not a line it has no inequality symbols, and how sideways it is doesn't matter, it is only how tall it is that matters because it is on the y - axis.

Organizations in College Edward Waters University include

College Edward waters university was the first independent higher institution and  black college located in Florida state of the United States of America.

The institution was found in 1866 in Jacksonville, Florida. It is owned by African Methodist Episcopal Church which is a Christian denomination.

Organizations refers to arrangement where people come together for a defined purpose. Organizations so exist in this high institution of learning

Delta Sigma Pi, Theta Omega Chapter is one of the organizations in this institution. The purpose of this organization is aid students in studying business in several ways and financial aids is one of them.

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Answer:

f(2)=3

f(1)=2

f(-1)=0

f(0)=1

Step-by-step explanation:

f(x)=y

when finding what f(x)=? you would see whats in the () and find that number on the x-axis. Find where the line hits on the x-axis and find the number on the y-axis that correlates with it. The y-axis number is what goes the the ().

when finding whats in the () you find what number it equal to on the y-axis and what is in the () would be the number that the line is on on the x-axis

In terms of π, the area of the circle is 2.25π yd².

So, the radius of circle(r) = 1.5 yd

The area of the circle is given by:

Therefore, in terms of π, the area of the circle is 2.25π yd².

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f is 7. The process of composing small units into larger units that solve larger problems is known as composition.

Therefore,

f = 2 (-2)² - 1 : f = 7

Steps

f = 2 (-2)² - 1

2 (-2)² =2³

f = 2³-1

2³ = 8

f = 8-1

Subtract the numbers:

8 - 1 = 7

f = 7

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A reciprocal parent function represents a simple rational function, that is, a function that has the variable x as the denominator.

the difference in mean life expectancies for the two groups is within 1 year of the true difference is 1729

Health issues can arise from substances other than chemicals like bleach. The way you clean your house and the environment in which you live both matters. Scientists caution that performing these tasks could have a detrimental effect on your health.

A Z-score is a metric that quantifies how closely a value relates to the mean of a set of values. Standard deviations from the mean are used to measure Z-score.

Given data:

σ₁ = σ₂ = 15

n₁ = n₂ = n

Margin of error = 1

Confidence level = 95% = α = 1 - 0.95 = 0.05

z score of α / 2 = 0.05 / 2 = 1.96 , n₁ = n₂ = ?

For the difference of mean test, the margin of error will be:

E = z score  α / 2 [tex]\sqrt \frac{(SD1)^{2} }{n1}+\sqrt \frac{(SD2)^{2} }{n2}[/tex]

[tex]1 = 1.96 \sqrt\frac{(15)^{2} }{n} + \sqrt \frac{(15)^{2} }{n}[/tex]   [∵ n₁ = n₂ = n]

[tex]1 = 1.96 * 15 \sqrt \frac{2}{n}[/tex]

1 = 41.58 / √n

√n = 41.58 / 1 = 41.58

On squaring both sides:

n = 1728.90 ≈ 1729

∴ n₁ = n₂ = 1729

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Answer:

1.95 hours or 1 hour and 57 minutes.

Step-by-step explanation:

You can read the problem as 13% of the battery. "Of" is a keyword that means to multiply.

The battery lasts 15 hours, so multiply by 13%. You need to change 13% to a decimal first by dividing it by 100, or moving the decimal left two places.

13% = 0.13

Now solve.

0.13 × 15 = 1.95

If you need to convert the 0.95 to minutes, multiply it by 60 since there are 60 minutes in an hour.

0.95 x 60 = 57 minutes.

Answer:

Step-by-step explanation:

130 decrease

DCM, this is the solution:

According to the midpoint theorem, the line connecting the midpoints of two sides is parallel to the third and its length is half of the third side.

Therefore,

KJ = 2 * GH

KJ = 2 * 30

KJ = 60 and FJ = 30

JL = 2 * FG

JL = 2 * 37

JL = 74

2) w = 16.5 mis the equation represents the relationship shown in the table.

3) The number of minutes is proportional to the number of pages, with a unit rate of 2.25 minutes per page is the best statement describes the relationship in the table.

When determining if two ratios or fractions are equivalent, the proportion formula is utilized. We can calculate the missing value by dividing the given values. One way to express the percentage formula is as a: Whereas a and d are the extreme terms and b and c are the mean terms, a:b::c: d = a/b = c/d.

2) Divide the number of  gallons of water with  number of minutes

66/4 = 16.5

So, the equation represents the relationship shown in the table is

w = 16.5 m

3) Divide number of minutes by number of pages, we get

9/4 = 2.25

13.5/6 = 2.25

So, option (B) best describes the relationship in the table.

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Answer:

28°

Step-by-step explanation:

AB and CD are straight lines, all angles in a straight line add up to 180

Answer:

(0, 4/3)

Step-by-step explanation:

2x +3y =4

3y =4 -2x

y = 4/3 - 2/3x

y = -2/3x + 4/3

y = -2/3(0) + 4/3

y = 4/3

-----------

or just plug in 0 for x from the start

2(0) + 3y = 4

3y = 4

y = 4/3

Answer:

40,60,80

Step-by-step explanation:

let 2x 3x and 4x

9x=180

x=20

2x=40

3x=60

4x= 80

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