A)Describe the graph of f as a transformation of the graph y= square root of x. B) Write a formula for F.Select values of a quadratic function g are shown in the table x= 0 ,1 , 4,6g(x)= 3 , 5.5 , 19 , 33C) Which value is greater f(4) or g(4)Provide a reason for you answer. D) which function f or g has a greater average rate of change on the interval [0,1]?Provide a reason for your answer

Using proportional reasoning, we can predict that there will be 40 red candies in the large bag.

Using proportional reasoning, we can set up and solve the following equation to determine the number of red candies in the large bag:

P = Proportion of red candies in the large bag

R = Red candies in the small bag

R × (33/9) = P

12 × (33/9) = P

P = 40 red candies in the large bag

Therefore, using proportional reasoning, we can predict that there will be 40 red candies in the large bag.

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Answer:

32768x¹⁰

Step-by-step explanation:

by applying the law of indices

multiply the powers inside the parentheses with the power outside of the parentheses

then evaluating 2¹⁵ equals 32768

multiply by x¹⁰

the answer is 32768x¹⁰

The simplified expression of the radical expression ∛135a¹³ is (135a¹³)¹/³

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

A radical expression

The radical expression is given as

\sqrt[3]{135^{a13}}

Represent the expression properly

So, we have the following representation

∛135a¹³

Apply the exponent rule of indices

This gives

∛135a¹³ = (135a¹³)¹/³

135 and a¹³ are not perfect cube root expressions

This means that the expression cannot be further simplified

Hence, the solution is (135a¹³)¹/³

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Answer:

10,490 kg/m³

Step-by-step explanation:

m/v = 73,430/7 = 10,490

The correct answer is 85 points in each contest

Explanation:

To solve this problem, the first step is to find out how many points Maddie has and then how many points she still needs to get a total of 750 points. Additionally, to do this, the correct process is to multiply the average points by the number of contexts.

In the first five contests, she obtained 68 points average

5 x 68 = 340 points in the first five contests

In the three following contests, she obtained 80 points on average

3 x 80 = 240 points

Now, let's add the points and find how many points she is missing to reach 750 points

340 + 240 = 580

750 - 580 = 170

Finally, let's divide the points missing by 2 because there are still two contests and Madie needs to get the 170 points in these two.

170 ÷ 2 = 85 points

Maddie needs to get 85 points on average to complete her goal of 750 points

Answer:

We don't need to worry about the displaystyle- {3} −3 anyway, because we dcided in the first step that displaystyle {x}ge- {2} x ≥ −2. So the domain for this case is displaystyle {x}ge- {2}, {x}ne {3} x≥ −2,x≠ 3, which we can write as displaystyle {left [- {2}, {3}right)}cup {left ({3},inftyright)} [−2,3)∪(3,∞).

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

To do this, we will make use of the following rules:

Direct Variation: \(a\ \alpha\ b\) => \(a = kb\)

Inverse Variation: \(a\ \alpha\ \frac{1}{b}\) ==> \(a = k/b\)

Joint Variation: \(a\ \alpha\ bc\) ==> \(a= kbc\)

Direct, then inverse variation: \(a\ \alpha\ b\ \alpha\ \frac{1}{c}\) ==> \(a= kb/c\)

Having highlighted the rules, the solution is as follows:

1. m varies directly to a

\(m\ \alpha\ a\)

\(m =ka\)

2. p varies inversely as q.

\(p\ \alpha\ \frac{1}{q}\)

\(p\ = k\frac{1}{q}\)

3. \(r\ varies\) directly as s and inversely as t.

\(r\ \alpha\ s\ \alpha\ \frac{1}{t}\)

\(r = k\frac{s}{t}\)

4. z varies jointly as \(e\ and\ f.\)

\(z\ \alpha \ ef\)

\(z = kef\)

5. F varies directly as the \(square\ of\ t.\)

\(F\ \alpha\ t^2\)

\(F = kt^2\)

6. d varies jointly r and t

\(d\ \alpha\ rt\)

\(d = krt\)

7. P is inversely proportional to h.

\(P\ \alpha\ \frac{1}{h}\)

\(P= \frac{k}{h}\)

8. P varies directly as V

\(P\ \alpha\ V\)

\(P=kV\)

9. d varies directly as the square of  t

\(d\ \alpha\ t^2\)

\(d = kt^2\)

10. s varies jointly as  b and d and inversely as the  square L

\(s\ \alpha\ bd\ \alpha\ \frac{1}{L^2}\)

\(s = k\frac{bd}{L^2}\)

The translation of each statement to an equation using k as the constant of variation is

1. m varies directly to a.

m = k × a

m = ka

2. p varies inversely as q

p = k / q

3. r varies directly as s and inversely as t

r = (k × s) / t

r = ks / t

4. z varies jointly as e and f.

z = k × e × f

z = kef

5. F varies directly as the square of t.

F = k × t²

F = kt²

6. The distance (d) traveled by a car varies jointly as the rate (r) and the time (t) of travel.

d = k × r × t

d = krt

7. The air pressure (P) in inversely proportional to the altitude (h).

P = k / h

8. The amount of water pressure (P) in a closed container varies directly as the volume (V) of the

water.

P = k × V

P = kV

9. The distance (d) of a falling body varies directly as the square of the time (t) traveled.

d = k × t²

d = kt²

10. The stiffness (s) of a beam varies jointly as its breadth (b) and depth (d) and inversely as the

square of its length (L).

s = (k × b × d) / L²

s = kbd / L²

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The total value of the annuity in 16 years, with yearly payments of $693 and an interest rate of 5.3% compounded annually, is approximately $12,739.62.

To calculate the total value of the annuity in 16 years, we can use the formula for the future value of an annuity:

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

Where:

FV is the future value of the annuity,

P is the yearly payment,

r is the interest rate per compounding period, and

n is the number of compounding periods.

In this case, the yearly payment (P) is $693, the interest rate (r) is 5.3% or 0.053, and the number of compounding periods (n) is 16.

Let's substitute these values into the formula and calculate the total value of the annuity:

FV = 693 * ((1 + 0.053)^16 - 1) / 0.053

FV = 693 * (1.053^16 - 1) / 0.053

Using a calculator, we can evaluate the expression inside the parentheses:

1.053^16 ≈ 1.9738

Substituting this value back into the formula:

FV = 693 * (1.9738 - 1) / 0.053

FV = 693 * 0.9738 / 0.053

FV ≈ 12739.62

Therefore, the total value of the annuity in 16 years, with yearly payments of $693 and an interest rate of 5.3% compounded annually, is approximately $12,739.62.

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Answer:

3y + 4

Step-by-step explanation:

3(y-1) +7

3y -3 +7

3y +4

The GDP at FC from the following data: GDP at MP = Rs. 2,000 billion Indirect taxes = Rs. 300 billion Subsidies = Rs. 100 billion​ is: Rs. 1,800 billion.

Using this formula to determine the GDP at FC

GDP at FC = GDP at MP - Indirect taxes + Subsidies

Where:

GDP at MP (Market Price) = Rs. 2,000 billion

Indirect taxes = Rs. 300 billion

Subsidies = Rs. 100 billion

Let plug in the formula

GDP at FC = 2,000 billion - 300 billion + 100 billion

GDP at FC = 1,800 billion

Therefore the GDP at factor cost (FC) is Rs. 1,800 billion.

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Answer:

the width is 15

Step-by-step explanation:

Answer: B  :)

Step-by-step explanation:

you need to find the number of containers for all the juice so add all of them together and then divide by 1.4 or the volume of the containers to get to amount you need

Answer:

The actual distance is 78 miles.

Step-by-step explanation:

Answer:5

Step-by-step explanation:

5098

The solution for the given expression is 16.

There are different power rules, see some them:

1. Multiplication with the same base: you should repeat the base and  add the exponents.

2. Division with the same base: you should repeat the base and  subctract the exponents.

3.Power. For this rule, you should repeat the base and multiply the exponents.

4. Zero Exponent. When you have an exponent equals to zero, the result must be 1.

First, you apply the Power Rules - Power for  \((\frac{2^2x^2y}{xy^3} )^2}\). For this rule, you should repeat the base and multiply the exponents. Thus, the result will be:\(\frac{16x^4y^2}{x^2y^6}\).

After that, you should apply the  Power Rules - Division . For this rule, you should repeat the base and  subctract the exponents. Thus, the result will be:\(\frac{16x^2}{y^4}\).

Now, you should replace the variable x by 4 and the variable y by 2. Thus, the result will be:\(\frac{16*4^2}{2^4}=\frac{16*16}{16} =16*1=16\)

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Answer:

Respiration:

1)Energy giving process. (Cell respiration...)

2) The act of inhaling or exhaling.

Self-pollination:

The transmission of pollen grain from anther to stigma which takes place at a single flower.

Cross-pollination:

The transmission of pollen grain from anther to stigma which takes place between two different flowers of the same species.

Force:

Any push or pull exerted by a body.

Contact Force, Magnetic force, Gravitational force

Kinetic energy and Potential energy.

Kinetic energy:

A kind of energy which an object possesses due to its motion.

Potential energy:

A kind of energy which an object possesses due to its height or position.

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The swimming pool can hold a volume of 3.456 cubic meters of water.

The volume of water that the swimming pool can hold can be calculated by multiplying the base area of the pool by its depth. In this case, the base area is given as 192 m² and the depth is 1.8 cm.

However, it is important to note that the depth should be converted to meters before performing the calculation.

To convert 1.8 cm to meters, we divide it by 100 (since there are 100 centimeters in a meter):

Depth = 1.8 cm ÷ 100 = 0.018 m

Now we can calculate the volume of water using the formula:

Volume = Base Area × Depth

Substituting the given values, we get:

Volume = 192 m² × 0.018 m = 3.456 m³

Therefore, the swimming pool can hold a volume of 3.456 cubic meters of water.

In the explanation, we use the formula for calculating the volume of a rectangular prism, which is given by multiplying the base area by the depth. We convert the depth from centimeters to meters and then substitute the given values into the formula to find the volume of water that the swimming pool can hold, which is 3.456 cubic meters.

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The largest positive number from the equation is 12

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the number be n

The factors of the number 72 = 1 , 2 , 3 , 4 , 6 , 8 , 9 , 12 , 18 , 36 , 72

The multiples of 72 = 72 , 144 , 216 ..

Now , the value n can be any of the factors of the number 72

And , n² is divisible by 72

when n = 12

n² = 12 x 12

So , n² = 144 which is divisible by 72

So , the largest number is 12

Therefore , the value of n is 12

Hence , the largest number is 12

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Answer:

$16.5

Step-by-step explanation:

25 % of 22 is 5.5

22 - 5.5 = 16.5

The sale price of the DVD in this week on sale for 25% off on the original price is $16.5.

Given that  the original price of a DVD  is $22, that means the cost of the DVD is $22.

This week the sale on the original  price of  a DVD. The sale is that 25% off on the original price of a DVD, that is 25% off on $22.

Here, calculate the discount on the original price of a DVD.

\(Discount=22\times25 \%\\Discount=22\times\frac{25}{100}\\Discount=\frac{22}{4} \\Discount=\$5.5\)

The discount is $5.5  on the original  price of  a DVD.

Therefore, the sale price of a DVD on this week after the discount:

\(Sale\ price= \$22-$5.5\\Sale\ price=\$16.5\)

Thus, the sale price of a DVD is $16.5.

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Answer:

The answer is C

Step-by-step explanation:

c.  8√(2^4 )

given 2^(4/8)  can be written as 2^(4×1/8)  

eg: 2^(1/2) is √2 hence same rule we can apply here and since 2^(1/8) we can write as 8√2 and given 2^4

further knowledge: so if asked to expand more we can write it as 8√16 simplifying this further we get 2^(1/2) which is actually √2

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The z-score of 235.90, if a normal distribution of scores has a standard deviation of 182.56 and a mean of 265.95, is -0.165.

The mean of the set of data is equal to the sum of all the quantities in the data, and divide by the no of quantities.

Given:

The standard deviation, d = 182.56,

The mean, m = 265.95,

The observation value, X = 235.90

Calculate the z score by the following formula given below,

Z = (X - m) / d,

Here, Z is the Z score,

Z = 235.90 -  265.95 / 182.56

Z =  -0.165

Therefore, the z-score of 235.90, if a normal distribution of scores has a standard deviation of 182.56 and a mean of 265.95, is -0.165.

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Answer:

Range= $144,000

Step-by-step explanation:

The least amount for each car is 22,000 and the highest is 25,000

so assuming the dealer sells all of them the lowest price, the revenue would be, $1,056,000 (that would be the lowest revenue) and assuming he sells all the cars at the highest price, the dealer will get a revenue of $1,200,000. So the lowest revenue is 1,056,000 and the highest revenue is 1,200,000. So to find the range subtract the highest revenue by the lowest and you’ll get $144,000.

Answer:

A.   $1,056,000 <= x <= $1,344,00

Step-by-step explanation:

Plato answer is A.  $1,056,000 <= x <= $1,344,00

This is an inequality.

This is what the statement should look like: \(57 > x - 8\)

Now, you can actually "properly" reverse these meaning the equality sign changes too. So basically you can mirror them.

The "mirrored" inequality expression would look like this: \(x - 8 < 57\)

Now just like normal algebra, you can transpose these terms from 1 side to another and so, -8 would transpose to the right hand side and the operation would be the inverse or in this case, addition. The expression would look something like this: \(x < 57 + 8\)

Add them up and you get: \(x < 65\) :D

Answ

Step-by-step explanation:wirugf4

The product of 3√3 and 3√30 in simplest radical form is 27√10

It is important to note that surds are nth root of numbers.

Surds are also seen as the values in square root that cannot be further simplified to whole numbers or integers.

Surds are irrational numbers.

Given the expression;

3√3 and 3√30

To determine the value, multiply, we get;

9 √90

Find the pair factors of 90, we have;

9 √9 × 10

Find the square root

27√10

Hence, the value is 27√10

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Answer:

g(t) = 0; solve for t

Step-by-step explanation:

Given

Options (a) to (e)

Required

Which of the options is true

From the question, we understand that: g(t) represents hare's time to complete the race

At the beginning of the race, the time left to complete the race is at g(t) = 0; then solve for t.

Take for instance:

\(g(t) = 10 - t\)

The time to complete the race is: g(t) = 0

So, we have:

\(0 = 10 - t\)

Collect like terms

\(t = 10\)

To determine the number of seconds that the hare would finish the race, we solve g(t) = 0, to calculate the value of t.

Linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the equation (rate of change) and b is the y intercept (initial value of b).

Given that g (t) represents the hare's distance from the finish line (in meters) t seconds after the start of the race.

To determine the number of seconds that the hare would finish the race, we solve g(t) = 0, to calculate the value of t.

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Answer:

there is significant difference bag weights for two machines

Step-by-step explanation:

Given the data :

Machine 1: 2.95 3.45 3.50 3.75 3.48 3.26 3.33 3.20 3.16 3.20 3.22 3.38 3.90 3.36 3.25 3.28 3.20 3.22 2.98 3.45 3.70 3.34 3.18 3.35 3.12

Machine 2: 3.22 3.30 3.34 3.28 3.29 3.25 3.30 3.27 3.39 3.34 3.35 3.19 3.35 3.05 3.36 3.28 3.30 3.28 3.30 3.20 3.16 3.33

Hypothesis:

H0 : σ1² = σ2²

H1 : σ1² ≠ σ2²

Using calculator, we can obtain the standard deviation of machine 1 and 2 :

Machine 1 : s1 = 0.2211

Machine 2 : s2 = 0.0774

Using the Fratio:

F test = s1² / s2² = 0.2211² / 0.0774² = 8.16

Sample size, n1 = 25 ; n2 = 22

Degree of freedom, n1 - 1 = 25 - 1 = 24 ; n2 - 1 = 22 - 1 = 21

The Pvalue Using the Pvalue from Ftest calculator :

Pvalue < 0.00001

Since Pvalue < α ; We reject the Null and conclude that ; there is significant difference in the bag weights for two machines at 0.05