Determine a relationship between the x- and y-values. Write an equation.

Answer:

9.81925> rounding up, final answer is x= 9.8

Twenty standard cartons of octal boxes weigh a total of 1,100 pounds. The weight per carton is 55 pounds.

Given that twenty standard cartons of octal boxes weigh a total of 1,100 pounds. We need to find the weight per carton.

How to find the weight per carton? To find the weight per carton, we need to divide the total weight of twenty standard cartons of octal boxes by 20.Let's assume the weight of each carton be x.

Therefore, the equation can be formed asx * 20 = 1,100 Solving the above equation for x, x = 1,100/20 Therefore, the weight per carton is 55 pounds. So, twenty standard cartons of octal boxes weigh a total of 1,100 pounds.

The weight per carton is 55 pounds.

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Answer:

Number 1 does not represent a function because it does not pass the Vertical Line Test.

Number 2 does not represent a function because it does not pass the Vertical Line Test.

The amount you have after 18 months is $ 1143.96 .

what is compound interest?

Interest that is added to a loan or deposit sum is known as compound interest. In our daily lives, it is the notion that is employed the most frequently. Compound interest is calculated for a sum using the principal and interest accrued over time. Compound interest and simple interest differ primarily in this way.

\(A=P {(1 +\frac{r}{n})^{nt} }\)

Given:

P = 1000 , r in decimal  = 0.09 ,

n = 12 ,  t = 1.5 ( 18 months = one and a half years).

Substituting the values into the formula:

A = 1000 ( 1 + 0.09/ 12 ) ^[12 ( 1.5 )]          

  ≈ 1000 ( 1.143960 )          

  = 1143.960

Rounding to the nearest cent, we get $ 1143.96 .

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Answer: A conclusion you reach using inductive reasoning is called conjecture.

Step-by-step explanation: Examining several specific situations to arrive at a conjecture is called inductive reasoning.

A conclusion that is arrived by inductive reasoning is called a conjecture.

An inductive reasoning is made following observable patterns. For instance when the patterns occurring in a sequence are closely monitored, inductive reasoning can be used to know what would be the next terms of the sequence.

A conjecture is a conclusion that one gets to while they are using the inductive type of reasoning.

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Answer:

Provide the statements please

Step-by-step explanation:

Hello!

D Would be your answer! Because At Midnight, the temperature was -8*f. At noon, 23*F, so

|-8-23| |-3||= 31  There you go! May I have Brainliest?

Answer:

4

Step-by-step explanation:

I like to use the FOIL method! I've attached a quick picture of how it works below, but basically you multiply the first terms. Next, multiply the outside/outer terms. Then, multiply the inside/inner terms. Lastly, you multiply the last terms.

In this question, the binomial is (x + 2)².

You can expand this to be (x + 2)(x + 2).

When you expand it using the FOIL method, you get x times x, which is x².

Next, the outside/outer terms are x and 2, which is 2x.

Then, you multiply the inside/inner terms 2 and x, which is 2x.

Last, you multiply the last terms, which are 2 and 2, which is 4.

When you put them together, it looks like this:

x² + 2x + 2x + 4.

You can simplify this to x² + 4x + 4.

So your answer is 4.

Answer:

I can help you what you need help with

Step-by-step explanation:

Answer:

3x^2-2x-6

Step-by-step explanation:

So first i paid attention in class

second apply to my homework

third step apply too your

<33 ur welcome lol

If (-8,3) lies on the circle and its Center is (-4,3) then, the radius of the circle is 4.

We know that the center of the circle is (-4, 3). Let's call the radius of the circle "r".

The distance between the center of the circle and the point (-8, 3) on the circle is equal to the radius "r".

Using the distance formula, we can find the distance between these two points;

d =√[(x2 - x1)² + (y2 - y1)²]

d = √[(-8 - (-4))² + (3 - 3)²]

d = √[(-8 + 4)² + 0²]

d = √[4²]

d = 4

Since the distance between the center of the circle and the point on the circle is equal to the radius, we have;

r = d = 4

Therefore, the radius of the circle is 4.

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Answer:

12.10 pm

Step-by-step explanation:

just take the 45 minutes she uses to bake and add to the time she starts

11.25 a.m+45

12.10 pm

Answer:

Step-by-step explanation:

An eigenvalue of n × n is a function of a scalar \(\lambda\)  considering that there is a solution (i.e. nontrivial) to an eigenvector x of Ax =  

Suppose the matrix \(A = \left[\begin{array}{cc}-1&-1\\2&1\\ \end{array}\right]\)

Thus, the equation of the determinant (A - \(\lambda\)1) = 0

This implies that:

\(\left[\begin{array}{cc}-1-\lambda &-1\\2&1- \lambda\\ \end{array}\right] =0\)

\(-(1 - \lambda^2 ) + 2 = 0\)

\(-1 + \lambda ^2 + 2= 0\)

\(\lambda^2 +1 =0\)

Hence, the eigenvalues of the equation are \(\mathtt{\lambda = i , -i}\)

Also, the eigenvalues can be said to be complex numbers.

The number of ways it can be done if order of the choices is taken into consideration is 15,444 ways

Permutation has to do with arrangement and combination has to do with selection.

If we are choosing 5 objects, without replacement, from 15 distinct objects, this has to do with permutation if the order of the choices is taken into consideration

15P5 = 15!/(15-5)!5!
15P5 = 15!/10!5!
15P5 = 15*14*13*12*11/5*4*3*2

15P5 = 15,444 ways

Hence the number of ways it can be done if order of the choices is taken into consideration is 15,444 ways

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Complete question

Suppose we want to choose 5 objects, without replacement, from 15 distinct objects. How many ways can this be done, if the order of the choices is taken into consideration?

Answer:

Step-by-step explanation:

The length of a pendulum that makes one full swing in 1.9 seconds is 3 feet.

As per the given data, the given formula is:

\($T=2 \pi \sqrt{\left(\frac{L}{32}\right)}\) gives the time it takes in seconds.

Where,

T is the time it takes for a pendulum to make one full swing back and forth (in seconds).

L is the length of the pendulum, in feet.

Here we need to find the length of a pendulum that makes one full swing in 1.9 seconds to the nearest foot.

Substitute the given parameters into the formula will give;

\($1.9=2 \pi \sqrt{\left(\frac{L}{32}\right)}\)

Now divide both sides by 2π.

\($ \frac{1.9}{2 \pi}=\sqrt{\left(\frac{L}{32}\right)} \\\)

\($ 0.3024=\sqrt{\left(\frac{L}{32}\right)}\)

Then taking square on both sides.

\($ (0.3024)^2=\frac{L}{32} \\\)

0.09144576 = \($\frac{L}{32}\)

Later multiply both sides by 32.

2.9262 = L

The approximate value of the length of a pendulum:

L ≈ 3

Therefore, the length of a pendulum is about 3 feet.

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Step-by-step explanation:

The coordinates and vertices

which reflected over the y- axis are

r(-2,0) , s(2,-3) , and t(2,3).

The volume of the cardboard box is approximately 13197.402 cubic inches.

The volume of a cardboard box is 216 dm³, we can convert it to the English system of measurements.

1 dm (cubic decimeter) is equivalent to 1 liter.

To convert dm³ to cubic inches, we can use the following conversion factors:

1 dm³ = 61.0237 cubic inches

Using this conversion factor, we can calculate the volume of the box in cubic inches:

The cube carton volume is 216 dm3 and the cube edge value is 6 dm.

The volume of the cube is calculated by dividing the edge values. In other words, volume = edge 3.

To find the edge (side) value, you can solve for the volume formula as follows:

edge 3 = volume.

edge = ∛ volume,

Where ∛ is the cube root.

Applying this formula to the given problem gives edge = ∛(216 dm³).

Edge = 6dm. Therefore, the side (edge) value of the cube is 6dm.

Volume (cubic inches) = 216 dm³ * 61.0237 cubic inches/dm³

= 13197.402 cubic inches

Question :- If the volume of a cubic cardboard box is 216 dm³

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Ratio of lawns to hours is 6:5

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Frank mows the lawn constantly 6/5 per hour

But Rate is also equal to number of lawns mowed in a certain amount of time.

Since ratio should always be in terms of simple whole numbers.

If 6/5 lawns are mowed in 1 hour, then,

6 lawns will be mowed in:6/6/5

=5 hours

therefore, 6 laws will be mowed in 5 hours.

Hence, Ratio of lawns to hours is 6:5

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Answer:

25600

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

1 1/8

Step-by-step explanation:

Answer:

(-6,0)

Step-by-step explanation:

An equation of a line can be modeled as y = mx + b where m is slope and b is y-intercept.

For the line r, we can model the equation as y = mx + 3 since the line intersects y-axis at (0,3) as seen in the attachment.

For the line t, we can model the equation as y = mx - 6 as the problem gives y-intercept for line t equal to -6. Hence, the line t intersects y-axis at (0,6)

Next, we have to find the slope of line t by finding the slope of line r in the attachment. Apply the rise over run by counting the steps, you can see in the attachment that I put to learn how to count rise and run of a line. Also note that the value in attachment here is a scalar quantity, meaning only magnitude, no direction.

So we will have the slope of -1 since a line graph is heading down so the output decreases as input increases. Therefore, we know that m = -1 for both lines. Therefore, for the line t, we can model the new equation to:

\(\displaystyle{y=-x-6}\)

Then we find the x-intercept of the line by letting y = 0. Thus,

\(\displaystyle{0=-x-6}\\\\\displaystyle{x=-6}\)

Therefore, the x-intercept of line t is at (-6,0).

Answer:

(-6,0)

Step-by-step explanation:

We need to determine the equation of line r first to find the x-intercept of line t.

The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by the formula:

\(slope = \frac{y_2 - y_1}{x_2 -x_1}\)

For line r passing through (3, 0) and (0, 3), the slope is:

\(slope = \frac{3 - 0}{0 - 3} = -1\)

Since line t has the same slope as line r, its slope is also -1.

The equation of a line in slope-intercept form (y = mx + b) is determined by its slope (m) and y-intercept (b).

We know that the slope (m) of line t is -1, and the y-intercept (b) is -6. Substituting these values into the slope-intercept form, we get:

y = -x - 6

To find the x-intercept, we set y = 0 and solve for x:

0 = -x - 6

Adding x to both sides:

x = -6

Therefore, the x-intercept of line t is (-6,0).

Answer:

bruce

y = 1/4 x

Step-by-step explanation:

9 tiles per sq ft for felicia

so 1/9 sq ft per tile

so bruce covers more

The skier's distance to the east of the center of the ski trail is

x = 1.25cosθ

The skier's distance to the north of the center of the ski trail is

y = 1.25sinθ

When radius 'r' and the angle θ are given, the coordinates (x,y) as shown

x = east direction

y = north direction

In this case we get,

x = r cosθ

y = r sinθ

Given r = 1.25 km

We get,

x = 1.25 cosθ in east direction

y = 1.25 sinθ in north direction

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To complete the grouped frequency distribution for the data with a class width of 4, you can start by first obtaining the range of the data, determining the lower limit of the first class interval, and the upper limit of each class interval.

After you have determined the upper limit of each class interval, the next thing to do will be constructing a table that shows the columns for the class intervals, the frequency of each interval, and the cumulative frequency.

Count the number of data points that fall into each class interval, and record these frequencies in the frequency column of the table. Add up the frequencies to get the cumulative frequencies. Finally, use the figures obtained to determine the mean, median and mode.

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On the interval (1,b), f(x)=4x2-7 changes at an average rate of 8b-11. To determine this, divide the difference between the function at b and 1 (4b2-7-3) by the difference between the intervals (b-1).

The average rate of change of a function on an interval is a measure of the change in the output of the function over the given interval. It can be calculated by taking the difference of the output between the endpoints of the interval, and dividing by the difference between the endpoints of the interval. For the given function f(x)=4x²-7 on the interval (1,b), the average rate of change is 8b-11This is obtained by dividing the output difference between 1 and b (4b2-7-3) by the output difference between the intervals (b-1). Our average rate of change is given by this formula: (4b2-7-3) / (b-1) = 8b-11. This average rate of change provides us with a general understanding of the function's rate of change across the specified interval. The output of the function increases at a constant rate as the input increases in this situation because the rate of change grows linearly as b increases.

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Answer:

1 perpendicular

Step-by-step explanation:

it's the only way for them to be equal

The general antiderivative of the rate of change function s(m) = 500m + 8 DVDs per month is \(S(m) = 250m^2/2 + 8m + C\).

The general antiderivative of a rate of change function is calculated by integrating the rate of change expression over the given interval. In this case, the rate of change of DVD orders is given by s(m) = 500m + 8 DVDs per month. We can calculate the general antiderivative of this expression by integrating it over the given interval from m = 0 (the beginning of the year) to some arbitrary value m. This gives us the following expression for the general antiderivative: \(S(m) = 250m^2/2 + 8m + C\), where C is the constant of integration. To calculate the value of S(m) for any given value of m, we simply plug the value of m into the expression above and solve for S(m). For example, if m = 5, then \(S(5) = 250(5)^2/2 + 8(5) + C = 1250 + 40 + C = 1290 + C\)

The general antiderivative of the rate of change function s(m) = 500m + 8 DVDs per month is \(S(m) = 250m^2/2 + 8m + C\).

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Answer:

y=-7

Step-by-step explanation:

horizontal line means that it doen't cross the x axis, so you just ignore the x value