Instructions
Solve the following problem and choose the best answer.
Question
Which of the following points (x,y) lies on the graph of 8x + 2y = 24?
0 (-1, 8)
O (2,8)
O (6.-12)
O (8, 2)

Step-by-step explanation:

Answer:25.13

Step-by-step explanation:

use the formulas

C=2πr

d=2r

Answer:

2244.9

Step-by-step explanation:

Anually compound interest formula

PV(1+i)^t

1800(1+.0375)^6

1800*1.0375^6

2244.921387 which rounds to

2244.9

Answer:

None

Step-by-step explanation:

None.  A unit cube has dimensions 1 by 1 by 1, so it could not contain a rectangle of dimensions 3 by 1 by 1.

Answer:

86.65% probability that the mean monitor life would be greater than 74.4 months in a sample of 85 monitors

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question:

Population: \(\mu = 75, \sigma = 5\)

Sample of 85: \(n = 85, s = \frac{5}{\sqrt{85}} = 0.5423\)

If the claim is true, what is the probability that the mean monitor life would be greater than 74.4 months in a sample of 85 monitors

This is 1 subtracted by the pvalue of Z when X = 74.4. So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{74.4 - 75}{0.5423}\)

\(Z = -1.11\)

\(Z = -1.11\) has a pvalue of 0.1335

1 - 0.1335 = 0.8665

86.65% probability that the mean monitor life would be greater than 74.4 months in a sample of 85 monitors

Answer:

$60,518.50

Step-by-step explanation:

Well the commission is 7%

7% of $864,550 = $60,518.50

Answer:

$60,518.50

Step-by-step explanation:

$864,550 x 0.7 = $60,518.50

Answer:

Mathematics shaping the modern world.

Answer:

exact form : 2√3

decimal form : 3.46410161… or 3.46

hope this helps you!

Answer:

The value of the function is \(\sqrt{12}\). Rounded to the nearest hundredth, the answer is 3.46

Step-by-step explanation:

We are given the value of x, so we simply have to evaluate the function:

\(f(x)=\sqrt{x+4}\)

Substitute 8

\(f(8)=\sqrt{8+4}\)

Add in the radical

\(\sqrt{12}\)

The value of the function is sqrt(12).

Rounded to the nearest hundredth: \(3.46\)

Answer:

457.8

Step-by-step explanation:

Answer:

Slope intercept form= y=mx+b.

y=9x-9

Step-by-step explanation:

The polynomial 3x^4 - 3x^2 - 7x is classified as a Cubic Trinomial.

The polynomial 3x^4 - 3x^2 - 7x can be classified as a Cubic Trinomial.

Here's the breakdown of the classification:

Degree: The highest power of the variable x is 4, so the degree of the polynomial is 4. Since the degree is 4, the polynomial is not cubic (which would have a degree of 3) or quintic (which would have a degree of 5).

Number of terms: The polynomial consists of three terms: 3x^4, -3x^2, and -7x. A polynomial with three terms is called a trinomial.

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Answer:Quartic trinomial

Step-by-step explanation:

Don't listen to the other guy, I put cubic and I got the answer wrong thanks to the other guy.

\(6\left[\cos\left( \frac{11\pi }{6} \right) +i\sin\left( \frac{11\pi }{6} \right) \right] \\\\\\ 6\left[\cfrac{\sqrt{3}}{2}~~,~-\cfrac{1}{2}i \right]\implies (3\sqrt{3}~~,~-3i) ~~ \approx ~~ \stackrel{ \textit{\LARGE S} }{(5.2~~,~-3i)}\)

You graph >7 with an open dot to the right.

The inequalities ≤ and ≥ would have a closed dot on the number line.

a > 3 is matched to the statement; "you must be older than 13 to play in the basketball league".

s < 3.5 is matched to the statement; "To use one stamp, your domestic letter must be under 3.5 ounces".

t ≥ 48 is matched to the statement; "You must be at least 48 inches tall to ride on the rollercoaster".

Inequality signs are mathematical symbols used to indicate that one quantity is greater than, less than, or equal to another quantity. These inequality signs includes:

These symbols are used in mathematical expressions and equations to compare values and express relationships between them.

Therefore, with a good understanding of inequality signs we conclude that:

On a graph, > 7 is with an open dot to the right.

Only the inequalities ≤ and ≥ would have a closed dot on the number line.

a > 3 is matched to the statement; "you must be older than 13 to play in the basketball league".

s < 3.5 is matched to the statement; "To use one stamp, your domestic letter must be under 3.5 ounces".

t ≥ 48 is matched to the statement; "You must be at least 48 inches tall to ride on the rollercoaster".

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The inequality is graphed and attached

There are some points that help in interpreting inequality graphs.

the x values are also called the domain lets assume -4 0 4. this is substituted into the equation 3x - 2y > 2 to get the values in the y direction.

3x - 2 > y

y < 3x - 2

for x = -4

y < 3 * -4 - 2 = -14

for x = 0

y < 3 * 0 - 2 = -2

for x = 4

y < 3 * 4 - 2 = 10

table of values

x      y

-4   -14

0     -2

4     10

y < 3x - 2 is the equation

Then use of dashed lines of dashed lines or solid lines

dashed lines means there is no equality sign in the inequality > OR < hence used for the problem

solid line means there is equality in the inequality  ≤ OR ≥

Another part is the shaded portion

shading above the line defines greater than shading below the line defines less than. The equation has less than and the shading is below the line

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Answer:

Step-by-step explanation:

Horizontal cross-section of a cylinder is a circle with same dimension as its base

Given diameter

Area formula

So the area of cross section is:

There are 14 dogs and 46 chickens in the farmyard.

The supposition that there are d dogs and c chickens.

Each chicken has two legs, but each dog has four.

Consequently, the total number of legs may be written as follows:

4d + 2c

Since we are aware that there are 148 legs in total, we can construct the following equation:

4d + 2c = 148

We may create another equation since we know that there are a total of 60 heads (dogs and chickens):

d + c = 60

Now that we have two equations with two variables, we may answer them both at the same time.

2d + 2c = 120 is the result of multiplying the second equation by two.

When we deduct this from the first equation, we obtain 2d = 28.

So, d = 14.

Reintroducing this into the second equation, we get:

14 + c = 60

So, c = 46.

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Answer:

66882

Step-by-step explanation:

Answer:

product

Step-by-step explanation:

213×314=66,882

Answer:

the first wheel ever built

Answer:

The first wheel ever built

Step-by-step explanation

(*) Sorry for my late answer but I hope this helps others that are looking for this.

100% in the test :)

First get the mean of the data set.

After getting the mean we can now get the standard deviation

Rounding off to 3 decimal places, the standard deviation is 1.979.

Answer:

a. unbounded

e. x ≤ 9

Step-by-step explanation:

The interval means all real numbers less than or equal to 9.

Since all numbers to negative infinity are included, it is unbounded.

a. unbounded

e. x ≤ 9

A sketch looks like a number line with a solid dot at 9 and an line pointing left with an arrowhead at the left pointing left.

Answer:

b. unbounded

e. x ≤ 9

Step-by-step explanation:

Interval notation

( or ) : Use parentheses to indicate that the endpoint is excluded.

[ or ] : Use square brackets to indicate that the endpoint is included.

A bounded interval is an interval that includes both its endpoints.

For the interval (-∞, 9]:

Therefore, the given interval is unbounded.

Inequality notation

Therefore, the given interval is represented by the inequality x ≤ 9.

To sketch the graph on a number line:

To sketch the graph on a coordinate plane:

Answer:

1

Step-by-step explanation:

The answer is 1.

Answer: The answer is 1 100%

Step-by-step explanation: i took the test

Answer:

I have completed the answers and attached them to the explanation.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question asks for a subtraction expression:

length is always a positive number so bigger number first here.

OB = 4-(-1)              >only moves in x direction so subtract x's

AB = 4-(-2)             >only moves in y direction so subtract y's

The given equation, y = mx + b is the slope intercept form of a linear equation where

m represents slope

b represents y intercept

The slope represents the rate of change of the values of y with respect to x. The values of y in this case represents the cost of renting the car while x represents the number of days for which the car is rented. Therefore,

slope, m = $45

The y intercept is the value of y when x is zero. We can see that the initial fee is $85. This means that even if the car is rented for zero days, the initial fee of $85 must be charged, Thus, y intercept is 85

Therefore, the equation representing the cost, y, of renting the car for x days is

y = 45x + 85

If the 3 friends work on 2 yards, then together they will earn:

If the 3 friends work on 3 yards, then together they will earn:

If the 3 friends work on 4 yards, then together they will earn:

If the 3 friends work on 5 yards, then together they will earn:

Answer:

Therefore, if the 3 friends work on 5 yards, then together they will earn $180.

The measure of the angle <1 is 90 degrees. Option C

First, we need to know the properties of a rhombus, we have;

Now, from the information given, we have that;

m<1 is at the point where the diagonals of the rhombus meet.

The diagonals are labelled

BD and AC

Hence, the measure of angle 1 is 90 degrees

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Answer:

6.8

Step-by-step explanation:

Add the numbers and divide by the amount of numbers and get 6.8

Answer: 6.8.

Step-by-step explanation: When finding the mean of a data set, you need to add all the numbers of the set, and then divide the answer by however many numbers you have on the data set.  The work is done below:

14 + 7 + 2  8 + 3 = 34.

34 / 5 = 6.8, because there are 5 numbers in the data set.

Have a great day! :)

The centroid of the region in the first quadrant bounded by the curves \(\(y = x^9\)\) and \(\(x = y^9\)\) is \(\(\left(\dfrac{10}{11}, \dfrac{10}{11}\right)\)\).

The centroid is given by the following formulas:

\(\[\bar{x} = \dfrac{\int_{a}^{b} x \cdot f(x) \, dx}{\int_{a}^{b} f(x) \, dx}\]\)

\(\[\bar{y} = \dfrac{\int_{c}^{d} y \cdot g(y) \, dy}{\int_{c}^{d} g(y) \, dy}\]\)

Where f(x) and g(y) are the functions that define the curves bounding the region.

Since we want to find the centroid of the region in the first quadrant, the intersection points of the two curves in the first quadrant.

The curves intersect at (1, 1).

Now, let's find the centroid of the region in the first quadrant.

First,  find the limits of integration:

1. For x:

The curve  \(\(y = x^9\)\) is the upper curve, and it intersects the x-axis at x = 0  and the y-axis at x=1.

So, the limits of integration for x are \(\(0 \leq x \leq 1\)\).

2. For y: The curve \(\(x = y^9\)\) is the right curve, and it intersects the y-axis at y=0 and the x-axis at y=1.

So, the limits of integration for y are \(\(0 \leq y \leq 1\)\).

Now,  set up the integrals:

\(\[\bar{x} = \frac{\int_{0}^{1} x \cdot x^9 \, dx}{\int_{0}^{1} x^9 \, dx}\]\)

\(\[\bar{y} = \dfrac{\int_{0}^{1} y \cdot y^9 \, dy}{\int_{0}^{1} y^9 \, dy}\]\)

1. \(\(\int_{0}^{1} x \cdot x^9 \, dx\):\)

\(\[\int_{0}^{1} x \cdot x^9 \, dx = \int_{0}^{1} x^{10} \, dx\)

                 \(= \left[\dfrac{x^{11}}{11}\right]_{0}^{1} = \dfrac{1}{11}\]\)

2. \(\(\int_{0}^{1} x^9 \, dx\):\)

\(\[\int_{0}^{1} x^9 \, dx = \left[\dfrac{x^{10}}{10}\right]_{0}^{1}\)

             \(= \dfrac{1}{10}\]\)

3.\(\(\int_{0}^{1} y \cdot y^9 \, dy\):\)

\(\[\int_{0}^{1} y \cdot y^9 \, dy = \int_{0}^{1} y^{10} \,\) dy

                 \(= \left[\dfrac{y^{11}}{11}\right]_{0}^{1} = \dfrac{1}{11}\]\)

4. \(\(\int_{0}^{1} y^9 \, dy\):\)

\(\[\int_{0}^{1} y^9 \, dy = \left[\frac{y^{10}}{10}\right]_{0}^{1}\)

            \(= \dfrac{1}{10}\]\)

Now, the centroid coordinates:

\(\[\bar{x} = \dfrac{\frac{1}{11}}{\dfrac{1}{10}} = \dfrac{10}{11}\]\)

\(\[\bar{y} = \dfrac{\frac{1}{11}}{\dfrac{1}{10}} = \dfrac{10}{11}\]\)

So, the centroid of the region is \(\(\left(\dfrac{10}{11}, \dfrac{10}{11}\right)\)\).

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Graph cookies and coffee, slope -2. Ben buys 2 cookies and 2 coffees. To optimize, allocate budget where MU per dollar is equal.

A budget is a financial plan that outlines expected income and expenses over a certain period. It helps individuals or organizations manage their money and make informed decisions about spending and saving.

Consumption refers to the use of goods and services by individuals, households, or organizations. It is an essential part of the economy and can be influenced by factors such as income, preferences, and prices.

According to the given information:

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