can someone help me with this

The transformation of f(x) to g(x) is :

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

The functions f(x) and g(x)

Where, we have

f(x) = x

g(x) = 1/9x - 2

The graph of the functions f(x) and g(x) are added as an attachment

And we have the transformations to be:

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The arrow is at a height of 48 ft after approx. 3 - √6 s and after 3 + √6 s.

To find the time it takes for the arrow to reach a height of 48 ft, we can use the formula for the height of the arrow:

s = v0t - 16t^2

Here, s represents the height of the arrow, v0 is the initial velocity, and t is the time.

Given that the initial velocity, v0, is 96 ft/s and the height, s, is 48 ft, we can set up the equation:

48 = 96t - 16t^2

Now, let's solve this equation to find the time it takes for the arrow to reach a height of 48 ft.

Rearranging the equation:

16t^2 - 96t + 48 = 0

Dividing the equation by 16 to simplify:

t^2 - 6*t + 3 = 0

We now have a quadratic equation in the form of at^2 + bt + c = 0, where a = 1, b = -6, and c = 3.

Using the quadratic formula:

t = (-b ± √(b^2 - 4ac)) / (2a)

Plugging in the values:

t = (6 ± √((-6)^2 - 413)) / (2*1)

t = (6 ± √(36 - 12)) / 2

t = (6 ± √24) / 2

Simplifying the square root:

t = (6 ± 2√6) / 2

t = 3 ± √6

Therefore, the arrow reaches a height of 48 ft after approximately 3 + √6 seconds and 3 - √6 seconds.

In summary, the arrow takes approximately 3 + √6 seconds and 3 - √6 seconds to reach a height of 48 ft, assuming an initial velocity of 96 ft/s.

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Note the complete question is

The height of an arrow shot upward can be given by the formula s = v0*t - 16*t², where v0 is the initial velocity and t is time.How long does it take for the arrow to reach a height of 48 ft if it has an initial velocity of 96 ft/s?  

Solve (t-3)^2=6

The arrow is at a height of 48 ft after approx. ___ s and after ___ s.

Answer:

Transitive property for equality

Step-by-step explanation:

Least time required to reach the point Q as per the distance and the speed rate is equal to 2 hours.

As given in the question,

Nearest point on the coast is 2 miles far away

rate of the row = 1mile per hour

Walk at the rate of 3 miles per hour

Let 'x' hours be the least time to reach point Q.

Time = distance / speed

Time taken to reach the point Q = [√ 1 + ( 3 - x)² ]/ 3

Time taken to reach the coast = (√ 4 + x² ) / 1

Total  time taken 't' = (√ 4 + x² ) / 1 + [√ 1 + ( 3 - x)² ]/ 3

To find least time dt/dx = 0

t  = (√ 4 + x² ) / 1 + [√ 1 + ( 3 - x)² ]/ 3

⇒dt/dx = [ x / √ 4 + x² ] + ( 3 - x) / √( 10 -6x + x² )

⇒x / √ 4 + x² = ( x - 3) / √( 10 -6x + x² )

Squaring both the side we get,

x² / (4 + x²) = ( x - 3)² / ( 10 -6x + x² )

⇒3x² -24x +36 =0

⇒ x² -8x + 12 = 0

⇒ x = 2 or 6 hours

Therefore , the least time taken to reach the point Q is equal to 2 hours.

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The amount of money in Marianna's annuity after 6 years will be approximately $300,516.

To calculate the amount of money in Marianna's annuity after 6 years, we can use the formula for compound interest on an annuity:

A = P * ((1 + r/n)^(n*t) - 1) / (r/n)

Where:

A = the final amount in the annuity

P = the regular contribution (each quarter) = $10,000

r = annual interest rate = 8% = 0.08

n = number of compounding periods per year = 4 (since it's compounded quarterly)

t = number of years = 6

Plugging in the values:

A = 10000 * ((1 + 0.08/4)^(4*6) - 1) / (0.08/4)

Calculating this expression:

A ≈ 10000 * ((1.02)^24 - 1) / 0.02

A ≈ 10000 * (1.601032449136241 - 1) / 0.02

A ≈ 10000 * 0.601032449136241 / 0.02

A ≈ 10000 * 30.05162245681205

A ≈ 300,516.22

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Answer:

304200

Step-by-step explanation:

To find the value of P6, use the savings annuity formula

PN=d((1+r/k)N k−1)r/k.

From the question, we know that r=0.08, d=$10,000, k=4 compounding periods per year, and N=6 years. Substitute these values into the formula gives

P6=$10,000 ((1+0.08/4)6⋅4−1)/(0.08/4).

Simplifying further gives P6=$10,000 ((1.02)24−1)/(0.02) and thus P6=$304,218.62.

Rounding as requested, our answer is 304200.

Answer:

(9d+3)

Step-by-step explanation:

(6d+5)-(2-3d)

>(6d+5)+(-2+3d)

>{(6d+3d)+(5-2)}

=(9d+3)

The  quotient of 302 ÷ (9.1 x \(10^4)\) in scientific notation is approximately 3.31868131868 x \(10^1\)

Dividing 302 by 9.1 gives:

302 ÷ 9.1 ≈ 33.1868131868

Now, to express this result in scientific notation, we need to move the decimal point to the appropriate position to create a number between 1 and 10. In this case, we move the decimal point two places to the left:

33.1868131868 ≈ 3.31868131868 x\(10^1\)

Therefore, the quotient of 302 ÷ (9.1 x \(10^4\)) in scientific notation is approximately 3.31868131868 x\(10^1\)

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The value of CE is 14.7 units.

The diameter of a given circle is a straight line which passes through the center of the circle and divides it into two equal semi-circles.

So that in the given circle with center A, we have;

CE = BD  (diameter of a given circle)

BA = EA = CA = DA    (radius of a given circle)

CE is the diameter of the circle, and BA is the radius, so that;

CE = 2*BA

     = 2*7.35

     = 14.7

CE = 14.7

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Answer:

See below

Step-by-step explanation:

For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.

Answer:

rational

Step-by-step explanation:

Answer:

rational

Step-by-step explanation:

The answer would be C - "Cheetah B has a higher ratio of miles per minute than Cheetah A because 17 over 8 is less than 56 over 20."

also "get it right please" ?! how rude

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).

Let's assume that Bryan invested an amount of x dollars in the first account, which earns 11% interest, and (6500 - x) dollars in the second account, which earns 7% interest.

The interest earned from the first account can be calculated as 0.11x, and the interest earned from the second account can be calculated as 0.07(6500 - x).

According to the problem, the total interest earned after one year is $519. So we can set up the equation:

0.11x + 0.07(6500 - x) = 519

Simplifying the equation:

0.11x + 455 - 0.07x = 519

0.04x + 455 = 519

0.04x = 64

x = 64 / 0.04

x = 1600

Therefore, Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).

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Based on the information , the store that gives the best deal is Store A .

Inn the question ,

it is given that ,

the original price for the shoes that Samuel is buying is = $80 .

the discount offered by Store A is = 25% ,

So , the effective price is = 80 - 0.25 of original price  

Substituting the values  ,

we get ,

= 80 - 20

= $60

the discount offered by Store B is = $10

So , the effective price is = 80 - 10 = $70 .

So , the price of shoe is less in store A in comparison to store B .

Therefore , the best deal is given by Store A .

The given question is incomplete , the complete question is

Samuel is buying a pair of boots with an original price of $80. Store A is offering a 25% discount off the original price of all boots. Store B is offering a $10 discount off the original price of all boots .

Based on this information, which store gave the best deal ?

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Answer:

\(1/log (xy)² +1/log(xy²) + log(xy³) =1\)

Step-by-step explanation:

This is your equation, right? Just checking

Step-by-step explanation:

I tried my best to answer this question I guess this would help

The option that has the correction justifications is the fourth option --- 1. Multiplication property of equality 2. Combine like terms 3. Addition property of equality 4. Division property of equality

From the question, we are to determine which of the given options has the correct justifications

To do this, we will solve the equation as well

The given equation is

x + 1/2(6x - 4) = 6

Multiply through by 2

2×x + 2×1/2(6x - 4) = 2×6

2x + (6x - 4) = 12

2x + 6x - 4 = 12

Combine like terms

8x - 4 = 12

Add 4 to both sides of the equation

8x - 4 + 4 = 12 + 4

8x = 16

Divide both sides of the equation by 8

8x/8 = 16/8

x = 2

From above, we can observe that the justifications used are

Multiplication property of equality

Combine like terms

Addition property of equality

Division property of equality

Hence, the option that has the correction justifications is the fourth option --- 1. Multiplication property of equality 2. Combine like terms 3. Addition property of equality 4. Division property of equality

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Answer:

1. Multiplication property of equality

2. Combine like terms

3. Addition property of equality

4. Division property of equality

Step-by-step explanation:

Given equation:

\(x+\dfrac{1}{2} (6x-4) = 6\)

Wyatt's Step Work:

\(\textsf{1.} \quad 2x + 6x-4 = 12\)

\(\textsf{2.} \quad 8x-4 = 12\)

\(\textsf{3.} \quad 8x = 16\)

\(\textsf{4.} \quad x = 2\)

Step 1

Wyatt multiplied both sides of the equation by 2.

Multiplication property of equality:  When both sides of an equation are multiplied by the same number, the two sides remain equal.

Step 2

Wyatt added the terms with the variable x.

Combine like terms: When one term is made by adding/subtracting the coefficients and keeping the variables the same.

Step 3

Wyatt added 4 to both sides of the equation.

Addition property of equality:  When the same number is added to both sides of an equation, the two sides remain equal.

Step 4

Wyatt divided both sides of the equation by 8.

Division property of equality: When both sides of an equation are divided by the same number, the two sides remain equal.

The gradient of the line K that is perpendicular to the line H that has a gradient of 7 is -1/7

Perpendicular lines are lines that form a right angle (90 degrees angle) at the point of their intersection, in which the slope of one of lines is the negative reciprocal of the slope of the other line.

The gradient of the line H = 7

The relationship between the lines K and line H is; Line K is perpendicular to the line H

The slope of a line a, which is perpendicular to another line b with slope m is; -1/m

Therefore, the slope of the line K is -1/7

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Answer:

8.643, 8.639

Step-by-step explanation:

Step-by-step explanation:

What is the number 8.64 rounded to the nearest tenth? -

What is 2.098 rounded to two decimal places? ... You could also use round-to-odd, which is like round-to-even in its ability to remove bias, ...

Answer:

→ Option (b) 6¹⁰/7⁶ is correct answer.

Step-by-step explanation:

Simply: (6⁵/7⁶)²

=> 6¹⁰/7⁶.

The coordinates of B are (-7,-2).

What do you mean by x and y coordinates?

The x and y coordinates are a component of the x-axis and y-axis in a 2D space in the Cartesian coordinate system. The x and y coordinates for a point in space are expressed as an ordered pair (x, y). The position of the point on the x-axis is shown by the first number, while its location on the y-axis is indicated by the second number.

According to the given data in the question,

if M is the location where line segment AB meets its midpoint.

Then, we will using the midpoint formula,

\((-5,2)=(\frac{-3+x}{2},\frac{6+y}{2})..............(1)\)

Putting the x-coordinates in (1),

\(-5=\frac{-3+x}{2}\\ -10=-3+x\\-10+3=x\\x=-7\)

Similarly, putting the y-coordinates in (1),

\(2=\frac{6+y}{2} \\4=6+y\\4-6=y\\y=-2\)

Hence, the coordinates of B are (-7,-2).

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Answer:

6.300

Step-by-step explanation:

Answer: What is "A" rounded to the nearest thousandth? answer: 6.340

What is "A" rounded to the nearest hundredth? Answer: 6.300

Step-by-step explanation: When you look to the right of the number place you are rounding, then it will tell you whether to round up or down, if it 4 or lower, then you round down by one digit, if it is 5 or higher, then you round up. Add any zeros if necessary.

Hope this helps, I'm doing math too, just taking a break to help someone else out.

The missing value in the table is 64 miles.The correct answer is option C.

To determine the missing value in the table, we can observe the pattern in the given data. Looking at the time values, we can see that they are increasing by a constant interval of 2 hours: 2, 4, 6, 8, 10. The corresponding distances traveled are 16, 32, 48, ?, 80.

By examining the distances, we can see that they are increasing by a constant interval of 16 miles. The first distance is 16 miles when the time is 2 hours, and it increases by 16 miles for every 2-hour increment.

To find the missing value, we need to determine the distance traveled at 8 hours. Since the interval is 16 miles for every 2 hours, the distance traveled at 8 hours can be calculated by multiplying the interval by the number of 2-hour increments from the first data point: 16 miles * (8 hours / 2 hours) = 16 miles * 4 = 64 miles.

Therefore, the missing value in the table is 64 miles, which corresponds to option C.

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The probable question may be:

The table shows how the distance traveled by a dogsled is changing over time.

Time (in hours) :- 2,4,6,8,10.

Distance Traveled (In miles) :- 16,32,48,?,80.

What value is missing from the table?

A. 50.

B. 68.

C. 64.

D. 60.

A cylinder of radius r cm and height h cm has a curved surface area A cm². Where –

a) We are asked to find formula for h.

\(\qquad\)\(\purple{ \bf \longrightarrow A=2 \pi rh }\)

First, overturn the equation

\(\qquad\)\( \sf \longrightarrow 2 \pi rh =A\)

Divide both sides by 2πr

\(\qquad\)\( \sf \longrightarrow \dfrac{2\pi rh}{2\pi r } = \dfrac{A}{2\pi r}\)

\(\qquad\)\( \sf \longrightarrow \dfrac{\cancel{2 \pi r }h}{\cancel{2\pi r} } = \dfrac{A}{2\pi r}\)

\(\qquad\)\( \purple{\bf \longrightarrow h = \dfrac{A}{2 \pi r }}\)

b) Again, we are given –

\(\qquad\qquad\quad\underline{\sf{Substituting \ Values \ :}}\)

⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━

\(\qquad\)\( \bf \longrightarrow h = \dfrac{A}{2\pi r }\)

\(\qquad\)\( \sf \longrightarrow h = \dfrac{93}{2 \times 3.1 \times 2.5 }\)

\(\qquad\)\( \sf \longrightarrow h = \dfrac{93}{15.5}\)

\(\qquad\)\( \sf \longrightarrow h =\cancel{ \dfrac{93}{15.5}}\)

\(\qquad\)\(\pink{ \bf \longrightarrow h = 6\: cm }\)

The domain and the range of the function are [0, 4] and [0, 19.6] respectively

The domain of the function is the set of input values of the graph

The range of a function is the set of output values of the graph.

This in other words mean the range of a function is the set of y values of the graph.

The function is given as

h(t) = -4.9t² + 19.6t

The domain is the set of valid time the function can take

To do this, we simply plot the graph of h(t) = -4.9t² + 19.6t

On the graph, we can see that:

The t values start from 0 and ends at 4

This means that the domain is [0, 4]

On the graph, we can see that:

The y values start from 0 and ends at 19.6

This means that the range is [0, 19.6]

Hence, the domain and the range of the function are [0, 4] and [0, 19.6] respectively

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Answer:

7.5 cups of grapes

Step-by-step explanation:

4o:3g:2b

With 5b, there's an increase in 2.5 from 2b. (divide 5b/2b)

Since the increase in all the other fruits is proportional by the same amount of 2.5.

This leaves you with 10o:7.5g:5b

Here are the correct matches to the expressions to their solutions.

The GCF of 28 and 60 is 4.

(-3/8)+(-5/8) = -4/4 = -1.

-1/6 DIVIDED BY 1/2 = -1/6 X 2 = -1/3.

The solution of 0.5 x = -1 is x = -2.

The solution of 1/2 m = 0 is m = 0.

-4 + 5/3 = -11/3.

-2 1/3 - 4 2/3 = -10/3.

4 is not a solution of -4 < x.

1. The GCF of 28 and 60 is 4.

The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 28 and 60, we can factor each number completely:

28 = 2 x 2 x 7

60 = 2 x 2 x 3 x 5

The factors that are common to both numbers are 2 and 2. The GCF of 28 and 60 is 2 x 2 = 4.

2. (-3/8)+(-5/8) = -1.

To add two fractions, we need to have a common denominator. The common denominator of 8/8 and 5/8 is 8. So, (-3/8)+(-5/8) = (-3 + (-5))/8 = -8/8 = -1.

3. -1/6 DIVIDED BY 1/2 = -1/3.

To divide by a fraction, we can multiply by the reciprocal of the fraction. The reciprocal of 1/2 is 2/1. So, -1/6 DIVIDED BY 1/2 = -1/6 x 2/1 = -2/6 = -1/3.

4. The solution of 0.5 x = -1 is x = -2.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate x by dividing both sides of the equation by 0.5. This gives us x = -1 / 0.5 = -2.

5. The solution of 1 m = 0 is m = 0.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate m by dividing both sides of the equation by 1. This gives us m = 0 / 1 = 0.

6. -4 + 5/3 = -11/3.

To add a fraction and a whole number, we can convert the whole number to a fraction with the same denominator as the fraction. In this case, we can convert -4 to -4/3. So, -4 + 5/3 = -4/3 + 5/3 = -11/3.

7. -2 1/3 - 4 2/3 = -10/3.

To subtract two fractions, we need to have a common denominator. The common denominator of 1/3 and 2/3 is 3. So, -2 1/3 - 4 2/3 = (-2 + (-4))/3 = -6/3 = -10/3.

8. 4 is not a solution of -4 < x.

The inequality -4 < x means that x must be greater than -4. The number 4 is not greater than -4, so it is not a solution of the inequality.

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Answer:

something

Step-by-step explanation: