What is the domain of the function y=3sqrtx-1?
-infinity -1 0 less than or equal to x 1 less than of equal to x

The probability that the total Oliver scores is greater than 8 is 2/9.

To get a total greater than 8, Oliver must roll a 5 or 6 on the dice and spin the spinner to get either 4 or 8.

The probability of rolling a 5 or 6 on a fair six-sided dice is 2/6 = 1/3, and the probability of spinning either 4 or 8 on a fair three-sided spinner is 2/3.

Therefore, the probability of getting a total greater than 8 is:

P(rolling 5 or 6) * P(spinner landing on 4 or 8) = (1/3) * (2/3) = 2/9

Therefore, the probability that the total Oliver scores is greater than 8 is 2/9.

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The calculated average thickness from the indirect method in Table 3 is slightly higher than the direct measurement, which suggests that there may have been some error in the calculations or measurements used in the indirect method.

Table 1 - Indirect Measurement

Trial Volume (CM3) Diameter (CM) Radius (CM) M&M Thickness (CM)

1 75 11.34 5.67 0.743

2 83 12.17 6.085 0.713

Table 2 - Direct Measurement

Trial M&M Thickness (CM)

1 0.10642

2 0.20741

3 0.683

Table 3 - Calculated Averages

Method Calculated Average Thickness (cm)

Indirect (from Table 1) 0.728

Direct (from Table 2) 0.665

The direct method yields the "best" value for the average thickness of an M&M from the package because it involves directly measuring the thickness using a vernier caliper, which is a more accurate and precise method than calculating the thickness indirectly using volume and diameter measurements. Additionally, the calculated average thickness from the indirect method in Table 3 is slightly higher than the direct measurement, which suggests that there may have been some error in the calculations or measurements used in the indirect method.

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Answer:

So 4 sets means 10 x 4=40

40 cupcakes in all

24 x 1=24 cupacakese aten.

40-24= 16

So 16 cupcakes left which i want to eat....:)

Step-by-step explanation:

Answer:

5x + 8 = 18

5x = 18 - 8

5x = 10 (divide both sides by 5 to get x)

5x/5 = 10/5

x = 2

Step-by-step explanation:

also can i get brainliest

The missing length indicated is 35.

Let us give the name to the triangles

bigger triangle= ABC and smaller triangle = PQC

from the figure its clear that both triangle are congruent.

Therefore we know the formula,

BQ/BC = AP/AC

we have given that,

BQ=12, QC= 15 and AP=28

we have to find PC.

Formula is, BQ/BC = AP/AC

         BQ/(BQ+QC) = AP /(AP+PC)

               12/(12+15) = 28/ (28+x)

                 12(28+x) = 12 × 28

                 336+12x = 756

                         12x = 420

                             x = 420/12

                              x = 35

Therefore missing length is 35.

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Answer:

A. (3/4) : (1/8)

Travis must add 6 cups of sugar to maintain the ratio.

B. Travis must multiply the ratio of all other ingredients by 8.

C. (3/8) : (1/8)

Travis must add 3 cups of blueberries to maintain the ratio.

Step-by-step explanation:

A.

3/4 * 8

24/4

6 cups of sugar to maintain the same ratio.

B. 1/8 turned into 1 so that means it was multiplied by 8

C. 3/8 are blueberries and 1/8 is butter

(3/8) * 8

3

This took a long time to do... reward?

Answer:

it would be $12

Step-by-step explanation:

I used the equation y = (x / 100)y

Answer:

83505

Step-by-step explanation:

It's already in the expanded form...

Answer:

I'm an island boii ️️

Answer:

Step-by-step explanation:

y = x/4 - 12

x = y/4 - 12

y/4 - 12 =x

y/4 = x + 12

y = 4x + 48

h(x) = 4x + 48

y = 3x - 122

x = 3y - 122

3y - 122 = x

3y = x + 122

y = x/3 + 122/3

f^-1(x) = x/3 + 122/3

Step-by-step explanation:

They needed a lingua franca to be able to communicate.

Part A: The monthly payment for the truck is $595.07

Part B: Kevin will spend $63.75 when he fills the truck's 25-gallon tank.

Part C: Kevin's cost per mile is $0.304.

An annuity is a financial product that provides a stream of payments to an individual over a specified period of time. An annuity is typically purchased from an insurance company or financial institution in exchange for a lump sum of money.

An average is a mathematical value that represents a typical or central value within a set of data. There are different types of averages, including the mean, median, and mode.The mean, or arithmetic mean, is the most common type of average, and it is calculated by adding up all of the values in a data set and dividing by the number of values.

Part A:

To calculate the monthly payment for the truck, we can use the formula for the present value of an annuity:

Monthly payment = (PV * r) / (1 - (1 + r)⁽⁻ⁿ⁾)

Where:

PV = Present value of the loan (truck cost - down payment)

r = Interest rate per period (annual rate / 12)

n = Total number of periods (5 years * 12 months per year)

Using this formula, we have:

PV = $35,500 - $4,200 = $31,300

r = 6% / 12 = 0.005

n = 5 years * 12 months per year = 60

Monthly payment = ($31,300 * 0.005) / (1 - (1 + 0.005)⁽⁻⁶⁰⁾) = $595.07

Therefore, the monthly payment for the truck is $595.07.

Part B:

To calculate how much Kevin will spend when he fills the truck's 25-gallon tank, we can multiply the number of gallons by the average gas price:

Cost of filling tank = 25 gallons * $2.55/gallon = $63.75

Therefore, Kevin will spend $63.75 when he fills the truck's 25-gallon tank.

Part C:

To calculate Kevin's cost per mile, we need to first calculate how much he spends on gas per mile.

In one year, Kevin fills up his tank 2 times per month, for a total of 24 times per year. If he drives 7,500 miles in the first year, then he drives an average of 7,500 / 24 = 312.5 miles between fill-ups.

So, Kevin spends $63.75 every 312.5 miles on gas, or $0.204 per mile.

In addition to gas, Kevin spends $750 per year on insurance.

Therefore, Kevin's total cost per mile is:

Cost per mile = (gas cost per mile) + (insurance cost per year / miles driven per year)

Cost per mile = ($0.204) + ($750 / 7,500) = $0.304 per mile

Therefore, Kevin's cost per mile is $0.304.

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The probability of spinning an odd number first then spinning an even number is 3/8 x 4/8 = 12/64.

This can be expressed as a fraction, decimal, or percentage. As a fraction, this probability is 12/64. As a decimal, this probability is 0.1875. As a percentage, this probability is 18.75%.

To calculate this probability, we first need to calculate the probability of spinning an odd number first. Since there are eight sections and four of them are odd numbers (1, 3, 5, 7), the probability of spinning an odd number is 4/8. We then need to calculate the probability of spinning an even number. Since there are four even numbers (2, 4, 6, 8), the probability of spinning an even number is 4/8. Finally, we multiply these two probabilities together to get the probability of spinning an odd number first then spinning an even number, which is 3/8 x 4/8 = 12/64.

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The amount of interest earned on a deposit of $60.00 at a rate of 9% per annum for 2 years is $108.

As per the given problem:

Amount deposited = $60.00

Interest rate per year = 9%

The formula for calculating the interest is given by:

Interest = (Principal × Rate × Time)/100

Where Principal is the initial amount invested or deposited

Rate is the percentage of interest that you earn per annum

Time is the duration for which you want to calculate the interest

Putting the values in the above formula, we get:

Interest = (60 × 9 × 2)/100= (108 × 1)/1= $108

So, the amount of interest earned on a deposit of $60.00 at a rate of 9% per annum for 2 years is $108.

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To compute a basis of the eigen space corresponding to eigen value -2, we need to find the null space of the matrix A + 2I, where A is the 3x3 matrix and I is the identity matrix.

The null space will give us the basis vectors of the eigen space

To find the eigen space corresponding to the eigen value -2, we start by constructing the matrix A + 2I, where A is the given 3x3 matrix and I is the 3x3 identity matrix. Next, we solve the homogeneous system of linear equations (A + 2I)x = 0, where x is a vector. The solutions to this system form the null space of the matrix A + 2I.

By finding a basis for this null space, we can obtain the basis vectors of the eigen space corresponding to the eigen value -2.

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There were 36 ounces of food left after 12 days.

After 12 days, the ounces of food left as shown by the graph is halfway between 40 and 32.

The halfway point between 32 and 40 can be calculated as:

= Difference between 32 and 40 / 2

= (40 - 32) 2

= 8/ 2

= 4 ounces

Add the halfway mark to the lower ounces mark on the ground of 32 to find the ounces in the bag after 12 days:

= 32 + 4

= 36 ounces

There were therefore 36 ounces of food remaining 12 days after Andre bought it.

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The number of tables that are more than 6m tall but no more than 12m tall is given as follows:

19.

The number of tables that are more than 6m tall but no more than 12m tall is obtained considering the absolute frequencies given in the table in this problem.

The desired frequencies are given as follows:

Hence the number of tables that are more than 6m tall but no more than 12m tall is given as follows:

11 + 8 = 19.

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The correct answer is a: every individual has an equal chance of being selected. A random sample is a subset of a population that is selected in a way that each member of the population has an equal probability of being chosen.

The randomness of the sample helps to ensure that the results obtained from the sample are representative of the entire population.

Option b, the probabilities cannot change during a series of selections, is a requirement for independent events but not necessarily for a random sample.

Option c, there must be sampling with replacement, is not always required for a random sample. Sampling with replacement means that after an individual is selected, they are returned to the population and can be selected again. This is not always necessary for a random sample.

Therefore, the correct answer is a: every individual has an equal chance of being selected.

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\( | - 10 + 2x| < 6 \\ |2x - 10| < 6\)

2 conditions for absolute value.

(1) 2x-10 when x>=0

\(2x - 10 < 6 \\ 2x < 6 + 10 \\ 2x < 16 \\ x < 8\)

(2)-2x+10 when x<0

\( - 2x + 10 < 6 \\ - 2x < 6 - 10 \\ - 2x < - 4 \\ x > 2\)

From both conditions. The answer is 2<x<8

Answer: 4-4z

Step-by-step explanation: Coming the like terms in order to simplify the equation. There are four z's and they combine as they are like terms. Since we don't know the value of z, thats the most simplified form.

Answer:

4 hours

Step-by-step explanation:

If Candice is travelling at 25 miles per hour, then in 4 hours she would have traveled = 25,miles * 4 = 100 miles.

Liz is traveling at 50 miles per hour so she would reach 100 miles in 2 hours.

Since Candice is driving with a speed of 25 miles per hour so distance covered in (t + 4) hours = 25(t + 4) miles

t+4 because Liz started driving 4 hours after Candice started.

Distances covered by Candice and her sister Liz will be same when Liz Catches up Candice.

Therefore, 50t = 25(t + 4)

50t = 25t + 100

50t - 25t = 100

25t = 100

Divide both sides by 25

t = 4 hrs

After 4 hours Liz will catch up Candice.

The equivalent equation to the (x² - 5)² - 3x² + 15 = -2 in form of 'm' is given by option c.  m² -3m + 2 = 0.

The equation is equal to,

(x² - 5)² - 3x² + 15 = -2

let the value of m be equals to x² - 5.

Simplify the equation we have,

⇒ ( x² - 5 )² - 3x² + 15 = -2

Take '3' common factor from the 3x² + 15 so that it get convert into x² - 5 we get,

⇒ ( x² - 5 )² - 3 (x² - 5 )  = -2

Now replace x² - 5 by m to get the equivalent equation,

⇒ ( m )² - 3 (m ) = -2

⇒ m² -3m + 2 = 0

Therefore, the equivalent equation to the given equation is written as option c.  m² -3m + 2 = 0.

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The number 96 into simplest radical form is 4√6.

In the given question we have to simplify the number into simplest radical form.

The given number is 96.

To simplify and obtain the radical form of square roots, we will first identify every element below the square root.

The square factor for 96 is 16.

Now we can factor 96 as 16 * 6.

The radicals are not in their least complicated form, as should be evident.

When we pay close attention now and subtract the square root of 16 * 6.

As √16 = 4 is the starting point, which leads to 4√6.

Currently, all radicals have been upgraded.

Never again will the extreme have any square factors.

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The complete question is:

Simplify the number into simplest radical form. Use the factor tree to help determine the factors 96.

Use the factor tree, the simplest radical form of 64 is 8.

Lets Simplify the number 64 into the simplest radical form.

To solve this, we can use a factor tree.

First, we will start with the number 64. We can break this down into two groups of two numbers, one being 4 and the other being 16.

Next, we can break down the 4 into two groups of two numbers, one being 2 and the other being 2.

Finally, we can break down the 16 into two groups of two numbers, one being 4 and the other being 4.

Now we have our factors, 2, 2, 4, and 4. We can use these factors to simplify the number 64 into its simplest radical form.

The formula for the radical form of a number is √(a × b × c × d).

In this case, our a, b, c, and d values are 2, 2, 4, and 4 respectively.

Therefore, our simplified radical form of 64 is √(2 × 2 × 4 × 4) = √64 = 8.

This means that the simplest radical form of 64 is 8.

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After analyzing the function g(x) = x³ − 6x² + 9x + 30,

a) We determine that g(x) is decreasing on (-∞, 1) and increasing on (1, ∞).

b) The x-values of the extrema of the function is a local maximum at x = 1.

c) x = 2 is a point of inflection.

d) The interval (-∞, 2) is concave up, and the interval (2, ∞) is concave down.

a) To find the intervals of increasing or decreasing, we need to determine where the derivative of g(x) is positive or negative. Taking the derivative, we get g'(x) = 3x² - 12x + 9. Setting g'(x) = 0 and solving for x, we find x = 1. This gives us a critical point. By analyzing the sign of g'(x) in the intervals (-∞, 1) and (1, ∞), we determine that g(x) is decreasing on (-∞, 1) and increasing on (1, ∞).

b) To find the x-values of the extrema, we look for the critical points. We have already found x = 1 as a critical point. By examining the second derivative g''(x) = 6x - 12, we determine that g''(1) = -6. Since the second derivative is negative at x = 1, this critical point is a local maximum.

c) To find the points of inflection, we need to analyze the concavity of the function. By examining the sign of g''(x), we find that g(x) changes concavity at x = 2. Thus, x = 2 is a point of inflection.

d) The intervals of concavity are determined by analyzing the sign of g''(x). We find that g''(x) > 0 for x < 2 and g''(x) < 0 for x > 2. Therefore, the interval (-∞, 2) is concave up, and the interval (2, ∞) is concave down.

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The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

To find the values of Z, we can start by expressing 2 + i√3 in polar form. Let's denote it as re^(iθ), where r is the modulus and θ is the argument.

Given: 2 + i√3

To find r, we can use the modulus formula:

r = sqrt(a^2 + b^2)

= sqrt(2^2 + (√3)^2)

= sqrt(4 + 3)

= sqrt(7)

To find θ, we can use the argument formula:

θ = arctan(b/a)

= arctan(√3/2)

= π/3

So, we can express 2 + i√3 as sqrt(7)e^(iπ/3).

Now, we can find the values of Z by taking the natural logarithm (ln) of sqrt(7)e^(iπ/3) and adding 2πik, where k is an integer. This is due to the periodicity of the logarithmic function.

ln(sqrt(7)e^(iπ/3)) = ln(sqrt(7)) + i(π/3) + 2πik

Therefore, the values of Z are:

Z = ln(2 + i√3) + 2πik, where k is an integer.

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

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Answer:

  0, 2 . . . . . (any pair of consecutive even integers)

Step-by-step explanation:

You want a pair of consecutive even integers such that twice the lesser is 4 less than two times the greater.

Let x represent the lesser of the two even integers. Then the greater is (x+2) and the given relation is ...

  2x = 2(x+2) -4

Simplifying gives ...

  2x = 2x +4 -4

  2x = 2x . . . . . . . true for any even integer x

Any pair of consecutive even integers will satisfy the relation.

  one such pair is 0, 2

     check: 2(2) -4 = 2(0)

Answer:

for example 2(3+1)

to solve with the distributive property you multiply the number outside the parentheses(2) with each inside number(3 and 1) individually.

2(3)+2(1)

now solve

6+2=8

now to check it by solving the regular way

2(3+1), 3+1=4 so

2(4)

8

we can see that the answers are the same.

to use the distributive property with x in it

for example, -3(x-6)

multiply the outside number(-3) with each inside number(x and -6)

-3(x)+(-3)(-6)

simplify

-3x-(-18)

-3x+18

hope this helps!