What is R,S,W? I really need help!

This video from khan academy should clear up your confusion on scale factors.

https://www.khanacademy.org/math/7th-engage-ny/engage-7th-module-1/7th-module-1-topic-d/v/identifying-scale-factors

Answer:

See below for answers and explanations

Step-by-step explanation:

a) Recall the parent function of a square root function is \(y=\sqrt{x}\) where:

b) Recall the parent function of a rational function is \(y=\frac{1}{x}\) where:

After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:

Amount remaining = Initial amount × (1/2)^(number of half-lives)

In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.

So, the equation becomes:

Amount remaining = Initial amount × (1/2)^4

Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.

Simplifying the equation:

Amount remaining = Initial amount × (1/16)

Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

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Answer:

Use the Intermediate Value Theorem to prove that every cubic function has at least one real root. You will have to first argue that you can find real numbers a and b so that f(a) is negative and f(b) is positive.

Answer:

Rewrite \(csc^4x-cot^4x\) by applying exponent rule \(a^{bc}=(a^b)^c\):

\(\implies (csc^2x)^2-(cot^2x)^2\)

Apply difference of two squares formula \(x^2-y^2=(x+y)(x-y)\):

\(\implies (csc^2x+cot^2x)(csc^2x-cot^2x)\)

Using trig identity \(1+cot^2x=csc^2x \implies 1=csc^2x-cot^2x\)

\(\implies (csc^2x+cot^2x)(1)\)

\(\implies csc^2x+cot^2x\)

Answer:

ABE is 115.5 and DBE is 25.5

Step-by-step explanation:

90 is right angle

90 - 64.5 = 25.5 <----- its DBE

90 + 25.5 = 115.5 <----- its ABE

hope i helped

Solving the quadratic equation, we found that the object is at a height of 269 feet when t is 1.99s and 8.55s and the object reaches the ground when t = 9.78s.

What is a quadratic equation?

Any equation in algebra that can be written in standard form:

          ax² + bx + c =0

where x stands for an unknown value, where a, b, and c stand for known values, and where a 0 is true is known as a quadratic equation.

The given equation of height h = -16t² + 156t +5

a) The time when the height is 269 feet can be found by substituting this value for h in the above equation.

            h = -16t² + 156t +5

         169 = -16t² + 156t +5

         16t² - 156t + 164 = 0

     Solving we get t = 8.55 s, 1.99s

b) The time when the object reaches the ground.

For this, we can take h = 0

   -16t² + 156t +5 = 0

  t = -0.03, 9.78

The negative value can be ignored.

Therefore solving the quadratic equation, we found that the object is at a height of 269 feet when t is 1.99s and 8.55s and the object reaches the ground when t = 9.78s.

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The standard deviation of the response time is 1.53 minutes.

To get standard deviation, we will determine z-scores corresponding to the given percentiles and use them to calculate the standard deviation.

Z-score = z = (x - μ) / σ

For the lower bound of 10 minutes:

z = (10 - 13) / σ

For the upper bound of 16 minutes:

z = (16 - 13) / σ

As normal distribution is symmetric, the z-score corresponding to the lower tail of 2.5% is -1.96, and the z-score corresponding to the upper tail of 2.5% is 1.96.

Using z-scores, we set up  equations:

(10 - 13) / σ = -1.96

(16 - 13) / σ = 1.96

Solving the first equation:

-3 / σ = -1.96

σ = -3 / -1.96

Solving the second equation:

3 / σ = 1.96

σ = 3 / 1.96

Dividing both sides by 1.96:

-3 / 1.96 = σ

1.53 = σ

Full question:

The respone times for a certain ambulance company are normally distributed with a mean of 13 minutes.95% of the response times are between 10 and 16 minutes. What is S.D. of the response time.

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Therefore, after answering the given query, we can state that The issues with the graph shown are as follows, according to the information provided: The vertical axis does not have a 0 value.

Graphs are used by mathematicians to rationally represent or chart facts or values. Often, a graph tip will show a connection between objects in an image. A graph is a type of non-linear data structure that is made up of nodes, or polygons, and edges. affix the nodes, also referred as as vertices. This graph includes endpoints E=1, 2, 1, 3, 2, 4, and (2.5) and vertices V=1, 2, 3, 5. (3.5). (4.5). graphs of exponential growth in the form of data charts (bar plots, data tables, line charts, etc.). an equilateral triangle-shaped logarithmic graph.

The issues with the graph shown are as follows, according to the information provided:

The vertical axis does not have a 0 value.

The time frame must be mentioned.

Too much vertical axis space is allowed.

Hence, the appropriate choices are:

The vertical axis does not have a 0 value.

The time frame must be mentioned.

Too much vertical axis space is allowed.

The information given makes it unclear whether or not the fourth alternative is viable.

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Answer:

24 inches

Step-by-step explanation:

The television is  a rectangular screen, the diagonal represents the hypotenuse side while the length and height are the adjacent and opposite side in  no particular order hence we can use Pythagoras theorem to find the length.

Recall that the theorem states that

opposite side^2 + adjacent side^2 = hypotenuse side^2

let the length of the television screen be L

L^2 + 18^2 = 30^2

L^2 + 324 = 900

L^2 = 900 - 324

L^2 = 576

L = √576

= 24 inches

Answer:

$324.35

Explanation:

Given a $249.50 cell phone with a 30% markup, to determine the selling price of the cell phone we need to first calculate 30% of $249.50 as seen below;

We'll now add $74.85 to $249.50 to finally get the selling price of the cell phone;

Therefore, the selling price of the cell phone is $324.35.

Answer:

Step-by-step explanation:

Use the order of operations to solve this problem.

\(\Longrightarrow: \sf{\sqrt{28-3(4)} }\)

Remove parentheses.

→ (4)=4

Rewrite the problem down.

\(\Longrightarrow:\sf{\sqrt{28-3*4} }\)

PEMDAS stands for:

→ 28-3*4

Multiply.

→ 3*4=12

→ 28-12

Subtract.

→ 28-12=16

\(\Longrightarrow:\sf{\sqrt{16} }\)

\(\Longrightarrow\sf{\sqrt{16}=4^2 }\)

Use the radical rule.

\(\Longrightarrow: \sf{4^2=\boxed{\sf{4}}\)

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

\(\±4\)

Step-by-step explanation:

Given expression: \(\sqrt{28 - 3(4)}\)

Here, we can see that the terms, 28 and 3(4) are inside the root. Since the two terms are inside the root, we can subtract them. Therefore:

Usually, \(\sqrt{16}\) can also be written as \(\sqrt[2]{16}\). Therefore:

Therefore, the simplified expression is ±4.

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Answer: The principal amount is P=$1000P=$1000. •

Step-by-step explanation:

Answer:

TO HEAR BETTER

Because as quality increases the tone increases

Answer:

15

Step-by-step explanation:

Between 8/16 and 9/1 is 15 days no matter the year.

Answer:

95 + 5 = 100

100 divided by 20 = 5

Step-by-step explanation:

sorry if I am wrong

Answer:

D. 1/(3^8)

Step-by-step explanation:

^^^This is the answer

Answer:

Step-by-step explanation:

To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.

For example:

y=-2/3(-6)=7

-2/3x6=-4

-4+7=3

(-6,3)

You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.

To get the x value, you need to fill in the y in the equation y=-2/3x+7

for example:

5=-2/3x+7

-2=-2/3x

3=x

(3,5)

y=-2/3x+7

y=-2/3(15)+7

y=-10+7

y=-3

(15,-3)

y=-2/3x+7

15=-2/3x+7

8=-2/3x

-12=x

(-12,15)

The completely factoring form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).

To completely factor the expression 6a^2 - 15a + 6, the first step is to check if there is a common factor among the coefficients (6, -15, and 6) and the terms (a^2, a, and 1).

In this case, we can see that the common factor among the coefficients is 3, so we can factor out 3:

3(2a^2 - 5a + 2)

Now we need to factor the quadratic expression inside the parentheses further. We are looking for two binomials that, when multiplied, give us 2a^2 - 5a + 2. The factors of 2a^2 are 2a and a, and the factors of 2 are 2 and 1. We need to find two numbers that multiply to give 2 and add up to -5.

The numbers -2 and -1 fit this criteria, so we can rewrite the expression as:

3(2a - 1)(a - 2)

Therefore, the completely factored form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).

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The amount (present value at age 60) that Sandro would neet in his retirement savings account in order to have a monthly income of $1,500 until he is 90 years old, compounded at 4.5% monthly is $296,041.74.

The present value is computed using an online fiance calculator that discounts the future withdrawals (monthly income) for a 360-months period.

End of withdrawal period = 90 years old

Beginning of withdrawal period = 60 years old

The number of years between 60 and 90 = 30 years

N (# of periods) = 360 months (30 years x 12)

I/Y (Interest per year) = 4.5%

PMT (Periodic Payment) = $-1,500

FV (Future Value) = $0

Results:

Present Value (PV) = $296,041.74

Sum of all periodic payments = $540,000 ($1,500 x 360 months)

Total Interest = $243,958.26

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Answer:

Interest charged over two years: $20

Total amount: $220

Step-by-step explanation:

The formula for simple interest is A = P ( 1 + rt ).

A = 200 ( 1 + (0.05 * 2))

A is the total amount ( interest + principle )

A = 220

P is the principle ( initial amount deposited )

P = 200

R refers to rate (in percent)

R = 0.05

T = time period (in years)

T = 2

Answer:

To find how far above the water the lip balm will be after 3 seconds, we need to evaluate the polynomial -16t² + 220 when t = 3.

Substituting t = 3 into the polynomial, we get:

-16(3²) + 220 = -16(9) + 220 = -144 + 220 = 76

Therefore, after 3 seconds, the height of the lip balm above the water will be 76 feet.

The graphing form of the function g(x) is: C) none of the answer choices.

The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.

Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:

a = 1 (coefficient of x^2)

b = 4 (coefficient of x)

c = -7 (constant term)

Therefore, the graphing form of the function g(x) is:

C) none of the answer choices

None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.

In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.

The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C

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Answer:

$78

Step-by-step explanation:

20% of 65 = 13

13 + 65 = 78

Answer: \(8\sqrt{5}\)

Step-by-step explanation:

By the geometric mean theorem,

\(\frac{y}{16}=\frac{4}{y}\\\\y^{2}=64\\\\y=8\)

So, by the Pythagorean theorem,

\(8^2 + 16^2 = x^2\\\\320=x^2\\\\x=\boxed{8\sqrt{5}}\)

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

50% of 366 is 183, therefore your answer is 366.

Answer:

1 verb:walk present tence

2 verb:flew past tence

3 verb:had past tence I think

4 verb:will future tence