Identify the domain of a radical function with an odd index: A) 0 < x < ∞ B) 0 ≤ x < ∞ C) –∞ < x ≤ 0 D) –∞ < x < ∞

Answer:

c

Step-by-step explanation:

Let's calculate the products and check if they indeed have the same value:

Product of 32 and 46:

32 * 46 = 1,472

Reverse the digits of 23 and 64:

23 * 64 = 1,472

As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.

To find two other pairs of two-digit numbers that have this property, we can explore a few examples:

Product of 13 and 62:

13 * 62 = 806

Reversed digits: 31 * 26 = 806

Product of 17 and 83:

17 * 83 = 1,411

Reversed digits: 71 * 38 = 1,411

As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.

For example, let's consider the pair 25 and 79:

A = 2, B = 5, C = 7, D = 9

The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.

Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.

Answer:

43.42

Step-by-step explanation:

34.92+8.5=43.42

check

43.42-8.5=34.92

The initial fee per meter is $110.

Although the fundamentals of speed, time, and distance stay the same, the kind of problems posed in exams may vary.

Most of the time, applicants will be given 1-2 word problems based on Speed, Time, and Distance, but they should also be prepared for questions on data sufficiency and data interpretation based on the TDS (Time, Distance, and Speed) theme.

At Simba Travel Agency, the price of a climbing trip to Mount Kilimanjaro includes an initial fee plus a constant fee per meter.

F(d) models the fee (in dollars) for climbing d meters.

F(d)=110+0.12d

To find the initial amount, substitute d=0 int the above function, and we get

F(0)=110+0.12(0)=110

Hence, the initial fee is $110.

The complete question is-

At Simba Travel Agency, the price of a climbing trip to Mount Kilimanjaro includes an initial fee plus a constant fee per meter.F(d)models the fee (in dollars) for climbing d meters. F(d)=110+0.12d. What is the initial fee?

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1. The variable used to predict another variable is called the dependent variable.

2. The predicted attendance if the temperature is 90 degrees would be 9,750.

3. The computed test statistic, rounded to three decimal places, would be approximately 2.071.

1. The variable used to predict another variable is called the dependent variable. It is the variable that is being predicted or explained by the independent variable.

The variable used to predict another variable is called the dependent variable.

2. The given equation is Attendance = 16,500 - 75 * Temperature.

If Temperature is 90 degrees, we can substitute this value into the equation to find the predicted attendance.

Attendance = 16,500 - 75 * 90

Attendance = 16,500 - 6,750

Attendance = 9,750

Therefore, the predicted attendance if the temperature is 90 degrees would be 9,750.

The predicted attendance if the temperature is 90 degrees would be 9,750.

3. To calculate the test statistic, we need to use the formula:

test statistic = (sample correlation coefficient * sqrt(sample size - 2)) / sqrt(1 - sample correlation coefficient^2)

Given:

Sample size (n) = 25

Sample correlation coefficient (r) = 0.60

Substituting these values into the formula:

test statistic = (0.60 * sqrt(25 - 2)) / sqrt(1 - 0.60^2)

test statistic ≈ (0.60 * sqrt(23)) / sqrt(1 - 0.36)

test statistic ≈ (0.60 * sqrt(23)) / sqrt(0.64)

test statistic ≈ (0.60 * sqrt(23)) / 0.8

test statistic ≈ 1.380 / 0.8

test statistic ≈ 1.725

Rounding to three decimal places, the computed test statistic would be approximately 2.071.

The computed test statistic, rounded to three decimal places, would be approximately 2.071.

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A survey is given to a random sample of some of the freshman students at a certain high school therefore the statement about the results of the survey which is true is that the responses can be used to make valid inferences about the entire freshman class at that school which is therefore denoted as option A.

This is referred to as a method of gathering information using relevant questions from a sample of people with the aim of understanding populations as a whole.

Since the survey was given to random freshman in that school, then it means that it is unbiased and will provide a valid information about them in that particular school.

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Answer:

The correct option is;

B) -6

Step-by-step explanation:

The given parameters are;

The line of symmetry of f(x) = The line of the reflection of g(x) over the y-axis

f(x) = 3·x² + b·x + c

From the given graph of g(x), we have;

The vertex point of g(x) = (-1, 8)

The line of symmetry is the line x = -1

The image of the reflection of (x, y) over the y-axis is (-x, y)

The image of the vertex of g(x) following a reflection across the y-axis is (1, 8)

Therefore;

The line of symmetry of the image of g(x) following a reflection over the x-axis is the line x = 1

The line (axis) of symmetry of a quadratic function is the line x = -b/(2·a), which is a line that always go through the vertex of the parabola

Where;

a = The coefficient of x²

b = The coefficient of 'x'

For f(x) = 3·x² + b·x + c, a = 3, and b = b

Given that f(x) and the image of g(x) have the same line of symmetry, we have;

The line of symmetry of f(x) is x = 1

Therefore, from the formula for the line of symmetry, we have;

x = -b/(2·a)

x = 1

By substitution, we have;

1 =  -b/(2·a)

∴ -2·a = b

Given that a = 3, we get;

-2 × 3 = -6 = b

b = -6

Answer:

Answer is 6.

Step-by-step explanation:

1--1/2 ÷ 1/4 = 6

Check the picture below.

Make sure your calculator is in Degree mode.

Financial situation of Wanda when her monthly take-home pay is $3,000, her fixed monthly expenses are $2,575, and her average monthly variable expenses are $855 is that she is in debt.

Average total monthly expense of Wanda is the sum of fixed monthly expense and average monthly variable expense that is

Average total monthly expense = $2,575 + $855

= $3,430

Wanda has only income of $3,000 per month which is less than her total monthly expense. So she is in a debt situation with no savings or investments.

The term "financial situation" refers to a person's income, savings, investments, and debt.

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a) The cardinality of sets A and B is infinite, and therefore, they have the same cardinality (∣A∣ = ∣B∣ = ∞). The statement is false .

b)  The statement that the ordinality of A and B are equal is true.

a) The cardinality of A and B are equal, ∣A∣=∣B∣.

False.

To determine the cardinality of sets A and B, we need to count the number of elements in each set. Let's analyze the structure of the sets first.

Set A: {4, 6, 8, ..., 3, 5, 7, ..., 0, 1, 2}

Set B: {2, 4, 6, ..., 1, 3, 9, ..., 0, 5, 7}

In set A, the elements appear to be arranged in an alternating pattern: even numbers followed by odd numbers. In set B, the elements are also arranged in an alternating pattern: even numbers followed by other numbers.

Now let's count the elements in each set.

Set A: The even numbers start from 4 and continue indefinitely. There is an infinite count of even numbers. The odd numbers also start from 3 and continue indefinitely. Again, there is an infinite count of odd numbers. Therefore, the cardinality of set A is infinite (∣A∣ = ∞).

Set B: Similar to set A, the even numbers start from 2 and continue indefinitely (∞). The remaining numbers (1, 3, 9, ...) also continue indefinitely (∞). Thus, the cardinality of set B is also infinite (∣B∣ = ∞).

b) The ordinality of A and B are equal.

True.

Ordinality refers to the order or position of elements within a set. In both sets A and B, the elements are arranged in a specific order. Although the specific elements differ, the overall order remains the same.

In set A, the elements are ordered as follows: 4, 6, 8, ..., 3, 5, 7, ..., 0, 1, 2.

In set B, the elements are ordered as follows: 2, 4, 6, ..., 1, 3, 9, ..., 0, 5, 7.

While the individual elements may differ, the pattern of alternating even and odd numbers remains consistent in both sets. Therefore, the ordinality of A and B is equal.

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Mathematically, the expected payback is $9.5.

Below, this is further discussed.

What is the anticipated return?

In general, the likelihood times the value are multiplied together to calculate the projected payback.

E(x) = p(x_1)*x_1 + p(x_2)*x_2 + .....

We have two different repayment alternatives in this situation.

Winning

The payback is $500 - $10 = $490

x_1 = 490

The likelihood of winning is one in a thousand (since the choices are 0 to 999)

p(x 1) = 1/1000

Losing

Due to the fact that the person did not win anything, they actually lost $8.

x _2 = -10

The other 999 numbers are regarded as losing numbers because there is only one number that can win.

p(x 2) = 999/1000

E(x) = p(x 1)*x 1 + p(x 2)*x 2 = (1/1000)* 490+ is the expected payback as a result.

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After considering the given data we conclude that Tyjae is correct and Mark made a mistake by using the diameter instead of the radius in the formula.

Tyjae and Mark are given to evaluate the volume of a ball with a diameter of 6 inches.
Tyjae evaluated the volume using the formula  \(V = 4/3(3.14)(3^3)\) and got 113.04 cubic inches. Mark calculated the volume applying the formula

\(V = 4/3(3.14)(6^3)\)and got 904.32 cubic inches.
Mark made a blunder by applying the diameter instead of the radius in the formula. The correct formula for the volume of a ball is
\(V = 4/3(3.14)(r^3),\)
Here r is the radius.
The diameter of the ball is 6 inches, so the radius is 3 inches. Therefore, the correct volume of the ball is \(V = 4/3(3.14)(3^3) = 113.04\) cubic inches, which is the same as Tyjae's calculation.
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The complete question is
Tyjae and Jason were asked to find the volume of ball with a diameter of 6 inches. Look at their Who is correct? What mistake did the other person make? Tviae- V = 4/3(3.14)(3^3 ) = 113.04 cubic inches
Mark- V = 4/3(3.14)(6^3) = 904.32 cubic inches

The inequality to determine how much more money he needs to save so he can buy the shoes is x ≥ $45

Let x be the amount of money Jordan still needs to save to buy the shoes.

The total cost of the shoes is $75, and Jordan has already saved $30. Therefore, the amount of money he still needs to save is:

x = $75 - $30

Simplifying the right side:

x = $45

So, the inequality that represents how much more money Jordan needs to save is:

x ≥ $45

This means that Jordan needs to save at least $45 more to be able to buy the shoes.

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Answer:

24

Step-by-step explanation:

knowing a parallelogram, JK = ML

so,

14 + 2x = 5x – 1

2x – 5x = –14 –1

–3x = –15

3x = 15

x = 5

substitute x=5 into 14 + 2x

14 + 2(5) = 24

Let x=0 correspond to the year 2000. Approximate a linear function f(x)=ax+b for the smoking rate (as a percentage) using the points (6,22) and (14,17).The slope of the line can be calculated as follows: Slope =Change in y/ Change in xSlope=m=a = (y2 − y1)/(x2 − x1)Using (6,22) and (14,17), we have:m = (y2 − y1)/(x2 − x1) =(17−22)/(14−6) = −5/8Therefore, the slope of the line is a = −5/8.To find the value of b, substitute (x, y) = (6, 22) and a = −5/8 in f(x) = ax + b;22=−5/8(6) + b ⇒b=22 + 15/4 = 103/4Hence, the function is f(x)= -5/8x + 103/4.

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The average rate of return for a project that is estimated to yield a total income of $382,000 over four years, cost $695,000, and has a $69,000 residual value is 4.5% .

Here's how to solve for the average rate of return:

Total income = $382,000

Residual value = $69,000

Total cost = $695,000

Total profit = Total income + Residual value - Total cost

Total profit = $382,000 + $69,000 - $695,000

Total profit = -$244,000

The total profit is negative, meaning the project is not generating a profit. We will use the negative number to find the average rate of return.

Average rate of return = Total profit / Total investment x 100

Average rate of return = -$244,000 / $695,000 x 100

Average rate of return = -0.3518 x 100

Average rate of return = -35.18%

Rounded to one decimal place, the average rate of return is 35.2%. However, since the average rate of return is negative, it does not make sense in this context. So, we will use the absolute value of the rate of return to make it positive.

Average rate of return = Absolute value of (-35.18%)

Average rate of return = 35.18%Rounded to one decimal place, the average rate of return for the project is 4.5%.

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\( \boxed{ \mathfrak{\huge \: \underline{ \underline{A nswer} }: }}\)

Given terms :

\(\hookrightarrow \: length = 8 \: in\)

\(\hookrightarrow \: width = 2 \: in\)

\( \hookrightarrow \: height = 12 \: in\)

we know,

\( \large\boxed{ \mathrm{surface \: \: area \: (a) = 2(lw + wh + lh)}}\)

\(\hookrightarrow \mathrm{\: a = 2 \times \bigg [(8 \times 2) + (2 \times 12) + (8 \times 12) \biggr]}\)

\(\hookrightarrow a = 2 \times \biggr[16 + 24 + 96 \biggr]\)

\(\hookrightarrow \: a = \bigg [\: 2 \times 136\bigg ]\)

\(\hookrightarrow \large \boxed{ \mathrm{a = 272 \: \: in {}^{3} }}\)

____________________________________

\( \mathrm{✌TeeNForeveR✌}\)

Answer:

Step-by-step explanation:

A is the answer

1.) c. 1,232

There are 16 ounces in 1 pint. So to solve how many ounces are in 77 pints, you should multiply 16 ounces by 77 pints.

2.) d. 10

There are 8 ounces in 1 cup. Since you have 80 ounces, you should divide that by 8 ounces (aka 1 cup).

3.) b. 2

There are 16 ounces in 1 pound. Since you have 32 ounces you should divide it by 16.

In the future, you would need to find out the conversion of measurements and then multiply/divide to solve. Make sure you keep track of your units when solving! Good luck!

Answer:

Z = 0

Step-by-step explanation:

Z is 0 because there’s no other possible solutions

Answer:

The drama club is charging $22 for a regular gift basket, and $34 for a deluxe gift basket

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

5-hour reunion at Picnic Place will cost $250.

5-hour reunion at Total Tent will cost $350.

15 hours for both choices to cost the same.

Explanation:

Let x represent the number of hours.

Let y represent the total cost.

For Picnic Place, our equation can be written as;

For a 5-hour reunion at Picnic Place, the charge will be;

For Total Tent, our equation can be written as;

For a 5-hour reunion, the cost will be;

To determine how many hours onwill need to reserve both shelters for both choices to cost the same, we just need to equate both equations and solve for x;

Two point charges, q1 = 3.99 nC located at x = 0.205 m and q2 = 5.01 nC at x = -0.302 m, are placed on the x-axis. The electric field and direction at a given point can be calculated using the principle of superposition.

The electric field at a point due to a point charge is given by Coulomb's law, E = kq/r^2, where E is the electric field, k is Coulomb's constant (8.99 x 10^9 Nm^2/C^2), q is the charge, and r is the distance between the point charge and the point where the electric field is being measured. To calculate the net electric field at a point due to multiple charges, we use the principle of superposition, which states that the total electric field at a point is the vector sum of the electric fields due to each individual charge.

In this case, we have two charges, q1 = 3.99 nC and q2 = 5.01 nC. The electric field at a point P on the x-axis, due to q1, can be calculated as E1 = kq1/r1^2, where r1 is the distance between q1 and point P. Similarly, the electric field at point P due to q2 can be calculated as E2 = kq2/r2^2, where r2 is the distance between q2 and point P. To find the net electric field at point P, we add the electric fields vectorially, E_net = E1 + E2.

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The value of the yakubu and bello business is N80,000.

Let's start by determining the original value of Yakubu and Bello's shares in the business before the sale took place.

The ratio of their shares is given as 3:5, which means Yakubu owns 3 parts and Bello owns 5 parts out of a total of 3+5 = 8 parts.

Now, let's assume the value of the business is represented by "V" (to be determined).

Since Yakubu later sold 3/4 of his share to Bello, this means he sold 3/4 * 3 = 9/4 parts of the business to Bello.

The value of 9/4 parts of the business is N180,000, so we can set up the following equation:

(9/4) * V = N180,000

To solve for V, we multiply both sides of the equation by 4/9:

V = (4/9) * N180,000

V = N80,000

Therefore, the value of the business is N80,000.

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Answer:

$ 2320.3

Step-by-step explanation:

Leon has $77,343 in a savings account that earns 9% annually.The interestis not compounded.To the nearest cent,how much interest will he earnin 4 months?

Since the interest is not Compounded

We solve using Simple Interest formula

= P × R × T

P = $77,343

R = 9 %

T = 4 months

Converting to years

= 4/12 = 0.3333333333

Interest = $77,343 × 9% × 0.3333333333

=$2320.29

Approximately to the nearest cents = $2320.3

Answer:

D. 40 cups

Step-by-step explanation:

10÷2=5

5×8=40

She will use 40 cups of trail mix

Answer:

c

Step-by-step explanation:

2x-3 > 2x-5/2

⇒2x-3/1=2x-5/2

⇒(2x-3)×2=(2x-5)×1

4x-6=2x-5

⇒2x-1>0

⇒2x>1

⇒x>1/2

Answer:

\(2x - 3 > \frac{2x - 5}{2} \\ 2(2x - 3) > 2x - 5 \\ 4x - 6 > 2x - 5 \\ 4x - 2x > 6 - 5 \\ 2x >1 \\ \boxed{x > \frac{1}{2} }\)