Use elimination to solve the following system, giving your answers as improper
fractions, if necessary:
If 5x+6y=26 and 10x-6y=-2
then y =
then x =

The total temperature change over the 5 day period is - 16°F

Temperature is a measure of how hot or cold and object or environment is. It is measured in degree on the calcium where you need or kelvin scale different objects and environment have different temperature.

The total change in temperature over the 5 day period is the products of to the mean temperatures and the numbers of days which gives a value of - 16°F

Mean temperature = - 3.2°F

Number of days = 5

Total change = mean temperature × Number of days

The total temperatures change can be calculated thus :

(-3.2) × 5 = - 16°F

Therefore, the total temperature changes over the 5 day period is - 16°F

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Here, The amount $26,000 is being deducted or reduced from the account which means it is debit...

Answer:

$26,000 is being deducted from the account which means it is debit.

Explanation:

The journal entry to record a $26,000 reduction in inventory would depend on the reason for the reduction. In general, if the reduction is due to a sale of inventory, the journal entry would be:

Date: 1-Oct

Account: Inventory

Account Number: 1020

Debit: Cost of Goods Sold

Credit: Inventory

In this case, the debit entry would be to the Cost of Goods Sold (COGS) account, which is an expense account that is used to record the cost of goods that have been sold during a particular period. The credit entry would be to the Inventory account, which represents the value of inventory that the business currently holds.

If the reduction in inventory is due to some other reason, such as loss, theft, or damage, the journal entry would be:

Date: 1-Oct

Account: Inventory

Account Number: 1020

Debit: Loss or Expense account

Credit: Inventory

In this case, the debit entry would be to a Loss or Expense account that reflects the reason for the reduction in inventory. The credit entry would be to the Inventory account.

Answer:

The dividend yield is the dividend next year divided by the current price, so the dividend yield is:

Dividend yield = D1 / P0

Dividend yield = $2.55 / $48.70

Dividend yield = .0524, or 5.24%

The capital gains yield, or percentage increase in the stock price, is the same as the dividend growth rate, so:

Capital gains yield = 6%

Equation of the line passing through (1, 5) is y = 3x + 2

A line is a one-dimensional figure, which has length but no width. A line is made of a set of points which is extended in opposite directions infinitely.

A line with no curve is called straight line.

Given,

A line is parallel to the line y = 3x - 2

To find slope of the given line, comparing with slope-intercept equation of line

y = mx + c

Slope m = 3

Line passes through point (1 , 5)

Slope of parallel lines are equal

m' = m = 3

Equation of the line

y - y' = m'(x - x')

y - 5 = 3(x - 1)

y - 5 = 3x - 3

y = 3x + 2

Hence, y = 3x + 2 is equation of the line passing through point (1,5).

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y=3x+2 is the equation of the line which is parallel to the line y=3x-2 and passes through the point 1,5

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The given equation is y=3x-2

3 is the slope of given line.

The line parallel to this line will have same slope, slope is 3.

Now, the equation of line passing through 1, 5

5=3(1)+b

b=2

So slope intercept form y=3x+2

Hence,  y=3x+2 is the equation of the line which is parallel to the line y=3x-2 and passes through the point 1,5

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Answer:

Step-by-step explanation:

here is a step-by-step explanation:

Convert half a gallon of milk to liters. There are 3.785 liters in a gallon, so half a gallon is 1.892 liters.

Convert 5 ounces to liters. There are 0.147868 liters in 5 ounces.

Divide the total volume of milk (1.892 liters) by the volume of each bottle (0.147868 liters) to find out how many bottles can be filled completely:

1.892 liters / 0.147868 liters per bottle = 12.8 bottles

Note that the answer is not a whole number, which means there will be some leftover milk after 12 bottles are filled.

To find out how many milliliters are in each bottle, we can convert 5 fluid ounces to milliliters:

5 fluid ounces x 29.5735 milliliters per fluid ounce = 147.868 milliliters

Therefore, each bottle will contain approximately 147.868 milliliters of milk.

So, in summary, with half a gallon of milk, you can fill 12 bottles completely and each bottle will contain about 147.868 milliliters of milk.

Answer:

The solution is 11

Step-by-step explanation:

To solve this question is quite easy, here are the step-by-step:

[tex] \sf \lim_{ t \to - 3} \sf ( - {t}^{2} - 6t + 2) \\ \\ \sf = - ( - 3)^{2} - 6( - 3) + 2 \\ \\ = \sf { - ( 9)} + 18 + 2 \\ \\ = \sf 9+ 2 \\ \\ = \sf 11[/tex]

The missing coordinate of P is (−3/7, 5/7).

In mathematics, coordinates are used in the study of geometry and algebra to describe points, lines, planes and curves. Two or three points can be used to define a line, and a set of points can be used to define a plane. Coordinates can also be used to solve equations or to establish relationships between different figures.

In two-dimensional space, coordinates are usually written as pairs of numbers, such as (x, y). The first number (x) is the horizontal position, and the second number (y) is the vertical position. In three-dimensional space, coordinates are usually written as triples of numbers, such as (x, y, z). The first number (x) is the horizontal position, the second number (y) is the vertical position, and the third number (z) is the depth.

To find the missing coordinate of P, we can use the fact that P lies on the unit circle in quadrant IV. Since the unit circle is centered at (0,0), has a radius of 1, and is in quadrant IV, this means that the x-coordinate of P must be negative.

Since the unit circle has a radius of 1, the coordinates of P must satisfy the equation x2 + (5/7)2 = 1.

We can solve this equation by subtracting (5/7)2 from both sides, then taking the square root of both sides to get:

x2 − (5/7)2 = 1 − (5/7)2

x = √(1 − (5/7)2)

x = √(1 − 25/49)

x = −3/7

Therefore, the missing coordinate of P is (−3/7, 5/7).

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The probability that the first winner lives in Wells and the second lives in Gaston 1/9.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Total number of customers entering the drawing = 9

Number of customers from Gaston = 4

Number of customers from Pike = 3

Number of customers from Wells = 2

Now the probability for the first winner to be from Wells will be

= 2/9

and,  Probability of second winner to be from Gaston will be

= 4/8

= 1/2

So, the probability is

= 2/9 x 1/2

= 1/9.

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Answer:

Correct answer below

Step-by-step explanation:

See image below of the two lines graphed and the intersection:

(didn't correctly identify the intersection)

Answer:

Step-by-step explanation:

If f(x) is an even function, that means it has symmetry across the y-axis. In other words, if (a,b) is a point on the graph of f(x), then (-a,b) must also be on the graph.

We are given that f(2) = -5. Since 2 is a positive number, we know that (-2) is the corresponding negative value that also lies on the y-axis. Therefore, we can say that f(-2) = f(2) = -5.

So, the other point that must be on the graph of f(x) is (-2,-5).

Answer:

See My Attached Work For Answer. (POV THIS WAS HARD!!!)

Step-by-step explanation:

Answer:

x=14, and value of second one would be 7

Step-by-step explanation:

Using the vertical line test we conclude that y is not a function of x.

When we have the graph of a relation, the vertical line test says that if we draw a vertical line over the graph and it intercepts the graph in more than one point, then the graph does not represent a function.

Here we have the graph of a circle, and there are multiple lines that intercept the graph twice (for example the line x = 0)

So we can conclude that this is not a function, thus, the correct option is A.

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You'll need a ruler that has "centimeters" on it.

Use the ruler to measure the distance from Town Hall to the Art Gallery.

I don't have a ruler with me, so I can't say for certain what that centimeter distance will be. Even if I had a ruler, it won't be much use because I cant put it directly to the paper. Only you are able to do that part. But I'll go over a hypothetical example.

Let's say the on paper distance from Town Hall to the Art Gallery is 5 cm (roughly 1.97 inches).

This means we multiply both sides by 5 in the steps shown below.

1 cm on paper : 200 m in real life

5*1 cm on paper : 5*200 m in real life

5 cm on paper : 1000 m in real life

5 cm on paper : 1 km in real life

So the 5 centimeters measured out with the ruler corresponds to the real life distance of 1 kilometer. This would be the real life distance from Town Hall to the Art Gallery. Again, this is a hypothetical example. The actual centimeter distance is likely different and you'll need to get a ruler to measure it out for yourself.

Let me know if this helps. If you have further questions, then please let me know.

Using exponent rules we can simplify the expression to get:

√y³⁶ =  y¹⁸

Here we want to simplify the expression below:

√y³⁶

Remember that the square root is equivalent to an exponent of 1/2, then we can rewrite:

√y³⁶ = (y³⁶)¹´²

And that will be equal to:

(y³⁶)¹´² = y³⁶´² = y¹⁸

That is the expression simplified.

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To find the distance from point P to the curved edge of the door mat, we can use the formula for an ellipse: (x/a)^2 + (y/b)^2 = 1, where a is the semi-major axis (half the length of the flat edge) and b is the semi-minor axis (half the length of the curved edge).

In this case, a = 148/2 = 74 cm and b = 58 cm. The point P is located 30 cm from the center, so x = 30 cm. We can plug these values into the formula and solve for y:

(30/74)^2 + (y/58)^2 = 1

0.1649 + (y/58)^2 = 1

(y/58)^2 = 0.8351

y^2 = 2805.72

y = sqrt(2805.72)

y = 52.97 cm

Therefore, the distance from point P to the curved edge of the door mat is approximately 52.97 cm.

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Answer:

5 3/5

Step-by-step explanation:

First, you write 4/5 x 7/1.

Next, you multiply 4x7 = 28.

Then, you multiply 5x1 = 5.

Now, you have an improper fraction--28/5.

You then divide 28/5 = 5 3/5.

No simplifying is needed.

Result: 5 3/5

In many contexts, we can estimate distances between objects or locations, but we may not always be able to measure them precisely. There are several reasons why we might only be able to estimate distances rather than measure them exactly:

Limitations of measuring instruments: The precision of a measuring instrument can limit our ability to measure distances accurately. For example, a ruler may only have markings up to a certain level of precision, so we may need to estimate distances between the markings.

The variability of the distance: In some cases, the distance we are measuring may be constantly changing, making it difficult to measure with precision. For example, if we are trying to measure the distance between two moving objects, the distance between them will constantly change, and we may need to estimate the distance at a particular moment in time.

Environmental factors: The environment can also make it difficult to measure distances precisely. For example, atmospheric conditions such as haze or fog can obscure objects and make it difficult to judge their distance accurately.

Human perception and judgment: Finally, our own perception and judgment can also limit our ability to measure distances accurately. For example, when estimating the distance to an object, our perception of the size of the object can affect our judgment of its distance.

In many cases, despite these limitations, estimates of distances can still be useful and informative. For example, in navigation, we may not need to know the exact distance between two points, but only an estimate that is accurate enough to help us navigate from one point to the other

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Verified Answer ✅

Answer: its 5y >32

Step-by-step explanation:

The sum of the fractions is 7/4

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

5⁄6 + 2⁄3 + 1⁄4 =

Express the denominators of the fraction as 12

So, we have

5⁄6 + 2⁄3 + 1⁄4 = 10/12 + 8/12 + 3/12

Evaluate the sum

This gives

5⁄6 + 2⁄3 + 1⁄4 = = 21/12

Simplify

5⁄6 + 2⁄3 + 1⁄4 = 7/4

Hence, the solution si 7/4

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The minimum number of trips needed to haul 20,000 cubic feet of dirt is B) 17.

What is capacity?

The ability to hold or contain something. The maximum amount or number that can be contained in a room's seating capacity.

The capacity of the dump bin is:

21 feet (length) x 8 feet (width) x 6 feet (height) = 1,008 cubic feet

The dump bin can hold dirt equivalent to 1.2 times its capacity, which is:

1.2 x 1,008 cubic feet = 1,209.6 cubic feet

To haul 20,000 cubic feet of dirt, you need:

20,000 cubic feet / 1,209.6 cubic feet per load = 16.52 loads

Since you can't have a fraction of a load, you need to round up to the nearest whole number, which is 17 loads.

Therefore, the minimum number of trips needed to haul 20,000 cubic feet of dirt is B) 17.

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Para dibujar un triángulo con un ángulo de inclinación de 45° realiza dos líneas perpendiculares y una tercera línea con un grado de 45° lo cual puedes hacer usando un transportador.

Un triángulo es una figura con tres lados y cuyos ángulos internos siempre suman 180°. El método más fácil para dibujar un triángulo con un ángulo de 45° es.

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The value of standard matrix of T is,

⇒ [tex]\left[\begin{array}{ccc}1&-2&3\\- 4&9&- 8\\\end{array}\right][/tex]

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Define T : R³ to R² as;

⇒ T(e₁) = (1, 4), T(e₂) = (-2,9), T(e₃) = (3,-8),

where e₁, e₂, and e₃ are the columns of the 3x3 identity matrix.

Now, The value of the standard matrix of T is,

T = [ T(e₁)   T(e₂)   T(e₃)]

  =  [tex]\left[\begin{array}{ccc}1&-2&3\\- 4&9&- 8\\\end{array}\right][/tex]

Therefore, The value of standard matrix of T is,

⇒ [tex]\left[\begin{array}{ccc}1&-2&3\\- 4&9&- 8\\\end{array}\right][/tex]

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Step-by-step explanation:

the wrong ratios were compared.

the ratio of corresponding line segments is the same :

RS/RQ = ST/QU

5/6 = 10/x

5x = 60

x = 12

also the second question can be seen as 2 projections with the same angle at different distances of the projection screen.

the baseline has 2 segments : 11 and 29-11 = 18.

the ratio between both segments is the same as the ratio of both legs:

11/18 = 16.5/p

11p = 297

p = 297/11 = 27

and the 3rd question is exactly based on the same structure.

the ratio of the baseline segments is the same as the ratio of the legs, as both sides of the central line are equal projections of different distances at the same projection screen :

4/6 = 8/y

4y = 48

y = 12

The Probability that the student was not a female and did not earn grade C is 34/59.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

                A B C Total

Male 16 18 17 51

Female 19 6 10 35

Total 35 24 27 86

Total number of non-female students who got a A and B : 34

Total number of students who got a A and B: 35+24= 59

So, the probability is

= 34/ 59

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Answer:

the answer is (a) the probability that a person will order pie

The midline y of the given function f(x)=3(cos(x-(\pi )/(3))+1) is 3.

A sinusoidal function's midline is the horizontal axis around which the signal goes up and down above and below. The midline is y = 0 for y = sin x. (the x-axis). The maximum and minimum values of the graph are situated on either side of the midline, which runs parallel to the x-axis.

Comparing the given function f(x) = 3(cos(x-(\pi )/(3))+1) with the standard form of cosine function:

y = acos(bx + c) + d

a = 3 and d = 1

The maximum value = 3 + 2 = 5

The minimum value = 3 - 2 = 1

The midline is given as:

midline = 1/2(maximum value - minimum value)

midline = 1/2(5 + 1)

midline = 3

Hence, the midline y of the given function is 3.

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The circumference of a circle with a radius of 14 feet is 88 feet.

Every point in the surface of a circle, which is a circular, two-dimensional object, is evenly separated from the centre. All lines that cross the circle join together to produce the line of reflected symmetry. Each angle has axis of symmetry around the centre, in addition. Monitoring a linear interpolation in a surface while keeping a fixed distance from some other point will result in the closed shape of a circle. The English term circle derives from the Greek word curriculum provides students, which also means hoop or ring.

When we find the circumference, we obtain:

The  circumference( C) of a circle is 2πr.

C=2πr

⇒C=2×[tex]\frac{22}{7}[/tex]×14=88 feet.

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The height of the triangle is h = 2A/6.

Height is the measure of vertical distance, either how "tall" something or someone is, or how "high" the point is. For example, a person's height is typically measured using a stadiometer and is recorded in centimeters or feet and inches. The height of a mountain is usually measured in meters or feet. In aviation, height is measured from the surface of the earth, either above ground level (AGL) or above mean sea level (AMSL).


To find the height of a right triangle given the base, we can use the area formula A = 1/2bh. Rearranging this equation gives us the height: h = 2A/b. In this case, the base is 6 inches and the area is given as A. Therefore, the height of the triangle is h = 2A/6.

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The equation of the graphed function is y = x + 4, x ≥ 4 and y = x² + 3, x < 4

A similar question is added as an attachment

From the attached, we can see that the function types are:

Based on the list of options, we have:

Next, we look at the intervals (domain)

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