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Answer:

plus minus

Step-by-step explanation:

Answer:

-Symbol: ±

-Symbol Name: plus - minus

-Meaning / definition:  both plus and minus operations

~~~~~~~~~~~~~~~~~~~

-Example: 3 ± 5 = 8 or -2

                 3+5=8

                     or

                 3-5=-2

Answer:

PQ=17.088

Step-by-step explanation:

If M is the midpoint of PQ, then PM is half the length of PQ. So we cna find our answer by first finding PM.

Imagine a right angle triangle with PM as its hypotenuse. Since P(x,y)=(5,-15), and M(x,y)=(13,-18), we know that the length of the vertical side of this triangle is the difference between P and M's y (vertical) coordinates, and the length of the horizontal side of this triangle is the difference between P and M's x (horizontal) coordinates. This means the vertical side is equal to -15-(-18)=3 and the horizontal side is equal to 13-5=8. Since we know the lengths of the other two sides and PM is the hypotenuse, we can use pythagorus to find the length of PM:

PM = \(\sqrt{3^{2} +8^{2} } =\sqrt{9 +64 }=\sqrt{73} =\)8.544

Since PM is half PQ, PQ=2(8.544)=17.088

Answer:

Perimeter of the Triangle

\(( {x}^{2} - 5x + 13) + (2 {x}^{2} - x + 19) + ( {x}^{2} + 3x + 21) \\ =(1 + 2 + 1) {x}^{2} + ( - 5 - 1 + 3)x + (13 + 19 + 21) \\ =(4 {x}^{2} - 3x + 53) \: units\)

The value of a Chi-Square goodness-of-fit test at a 5% significance level is 13.45

We need to perform a Chi-Square goodness-of-fit test at a 5% significance level.

First we need to calculate the expected count

expected value = ∑(x)/n

= (40 + 33 + 35 + 32 + 60)/5

= 200/5

= 40

Now we need tocalculate the test statistic value

Observed  expected  O - E    (O - E)^t/E       %

40                40             0            0                   0

33                40             -7          1.225          9.11

35                40             -5          0.625         4.65

32                40             -8         1.6                11.90

60                40             20        10                 74.35

Chi square test is 13.45

Therefore, the value of test statistics is 13.45.

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The difference in internal energy between the air in the bicycle tire and an equivalent volume of air at atmospheric pressure is ΔU ≈ 0.2511J/K * T

To calculate the difference in internal energy between the air in the bicycle tire and an equivalent volume of air at atmospheric pressure, we need to consider the ideal gas law and the difference in pressure.

The ideal gas law states:

PV = nRT

Where:

P = pressure

V = volume

n = number of moles of gas

R = ideal gas constant

T = temperature

Since we are comparing the same volume of air, we can assume V1 = V2, and the equation becomes:

P1 = n1RT

P2 = n2RT

The internal energy (U) of an ideal gas depends only on its temperature. Therefore, the internal energy of the air in the bicycle tire and the equivalent volume of air at atmospheric pressure will be the same if they have the same temperature.

To calculate the difference in internal energy, we need to consider the difference in pressure. The change in internal energy (ΔU) can be expressed as:

ΔU = n1RT - n2RT

To calculate the moles of each gas (nitrogen and oxygen) in the given composition, we need to consider their percentages.

Composition: 78% nitrogen (N2) and 21% oxygen (O2)

Volume: 1.2 liters

Pressure: 5.4×10^5 Pa

We can assume that the temperature is constant.

Let's calculate the moles of each gas:

For nitrogen (N2):

n1 = 78% * V / Vm

= 0.78 * 1.2 L / 22.4 L/mol

≈ 0.0415 mol (rounded to four decimal places)

For oxygen (O2):

n2 = 21% * V / Vm

= 0.21 * 1.2 L / 22.4 L/mol

≈ 0.0113 mol (rounded to four decimal places)

Now, we can calculate the difference in internal energy:

ΔU = n1RT - n2RT

= (0.0415 mol) * R * T - (0.0113 mol) * R * T

= (0.0415 - 0.0113) mol * R * T

= 0.0302 mol * R * T

Since the temperature (T) is the same for both scenarios, we can simplify the equation to:

ΔU = 0.0302 mol * R * T

The value of the ideal gas constant (R) is approximately 8.314 J/(mol·K).

Therefore, the difference in internal energy between the air in the bicycle tire and an equivalent volume of air at atmospheric pressure is:

ΔU ≈ 0.0302 mol * 8.314 J/(mol·K) * T ≈ 0.2511J/K * T

Please note that we need the temperature (T) in order to calculate the exact value of the difference in internal energy.

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Answer:Yes

Step-by-step explanation:

Aluminum chloride plus hydrogen

Check the picture below.

notice, times where he stops, is time where distance is not added however time elapses, meaning we get a straight line, when chatting with his friend, it went from 10 minutes to 15 minutes over the same 800 meters, in other words, he never moved, time kept on going for 5 minutes.  When he gets back home, distance goes from 2000 meters to 0 meters, 0 meters because he's back at 0 distance after 90 minutes.

tried my best to show the steps!! all i did was isolate to find the missing widths attached to the respective lengths (divided surface area by width) and then multiply both sides by two and add them together to find the perimeter.

The dimensions of the garden that would require the least amount of fencing are 6 ft in length and 6 ft in width.

The dimensions are the sides of a geometric shape.

The lengths of the three gardens are given as 6 ft, 9 ft, and 12 ft respectively.

If the area of the garden is 36 feet squared, then the widths for the three lengths will be as follows:

The width of the garden with a length of 6 ft \(= \dfrac{36}{6} = 6\ ft\)

The width of the garden with a length of 9 ft \(= \dfrac{36}{9} = 4\ ft\)

The width of the garden with a length of 6 ft \(= \dfrac{36}{12} = 3\ ft\)

The parameters are calculated as:

The parameter of the garden with dimensions (6 ft, 6 ft) = 2(6 + 6) = 24 ft

The parameter of the garden with dimensions (9 ft, 4 ft) = 2(9 + 4) = 26 ft

The parameter of the garden with dimensions (12 ft, 3 ft) = 2(12 + 3) = 30 ft

The least of the parameter is of the garden with dimensions (6 ft, 6 ft).

Thus, the garden with dimensions (6 ft, 6 ft) would require the least amount of fencing.

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Answer:

Step-by-step explanation:

Given question is incomplete; here is the complete question.

The base of pyramid A is a rectangle with a length of 10 meters and a width of 20 meters. The base of pyramid B is a square with 10-meter sides. The heights of the pyramids are the same.

The volume of pyramid A is ____ the volume of pyramid B. If the height of pyramid B increases to twice that of pyramid A, the new volume of pyramid B is ______the volume of pyramid A.

Since, volume of pyramid = \(\frac{1}{3}(\text{Area of the base})(\text{Height})\)

Volume of the pyramid A = \(\frac{1}{3}(\text{length}\times \text{Width})(\text{height})\)

                                          = \(\frac{1}{3}(10\times 20)(h)\)

                                          = \(\frac{200h}{3}\)

Volume of pyramid B = \(\frac{1}{3}(10)^2(h)\)

                                    = \(\frac{100h}{3}\)

Ratio of the volumes of the pyramids = \(\frac{\text{Volume of pyramid A}}{\text{Volume of pyramid B}}\)

                                                              = \(\frac{\frac{200h}{3}}{\frac{100h}{3} }\)

                                                              = 2

Therefore, volume of pyramid A is TWICE the volume of pyramid B.

If If height of the pyramid B increases twice of pyramid A,

Then the volume of pyramid B = \(\frac{1}{3}(100)(2h)\)

                                                   = \(\frac{200h}{3}\)

Ratio of volumes of pyramid B and pyramid A = \(\frac{\text{Volume of pyramid B}}{\text{Volume of pyramid A}}\)

                                                                            = \(\frac{\frac{200h}{3}}{\frac{200h}{3}}\)

                                                                            = 1

Therefore, new volume of pyramid B is EQUAL to the volume of pyramid A.  

The answers to each part is mentioned above.

Given is that Aiko works in the fish department of a pet store. She must drain, clean, and refill two reef tanks. The first tank hold 175 gallons of water and drains at a rate of 25 gallons per hour. The second tank holds 200 gallons of water and drains at a rate of 30 gallons per hour.

Equation for tank {1} -

y = 175 - 25x

Equation for tank {2} -

y = 200 - 30x

For the solution we can write -

175 - 25x = 200 - 30x

- 25x + 30x = 200 - 175

5x = 25

x = 5

and

y = 200 - 150

y = 50

For the same amount of water we can write -

175 - 25x = 200 - 30x

- 25x + 30x = 200 - 175

5x = 25

x = 5 hours

In tank (1), there is : 175 - 25 x 5 = 50 gallons

In tank (2), there is : 200 - 30 x 5 = 50 gallons

Therefore, the answers to each part is mentioned above.

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Answer:

2.5 x 10^-1

Step-by-step explanation:

To put this into scientific notation, move the decimal to when you have a whole number in the one's place:

0.25

2.5

The decimal got moved to the right once so the exponent will be negative:

2.5 x 10^-1

That is your answer

Hope this helps!

Answer:

2.5 × 10^-1

Step-by-step explanation:

Sadia can choose from approximately 7 different roof colors.

Let's denote the number of different body colors as "B" and the number of different wheel types as "W." We are given that the total number of ways Sadia can choose the body color, roof color, and wheel type is 3325.

To find the number of different roof colors, we need to isolate the number of roof color choices, denoted as "R." We can set up an equation using the given information:

B * R * W = 3325

From the problem statement, we know that there are 19 different body colors (B) and 25 different wheel types (W).When these values are plugged into the equation, we get:

19 * R * 25 = 3325

We can rearrange the equation to find R:

R = 3325 / (19 * 25)

Evaluating the expression on the right-hand side, we find:

R ≈ 7

Therefore, Sadia can choose from approximately 7 different roof colors.

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Answer:

Step-by-step explanation:

(-4 - 4)/(6 + 2)= -8/8= -1

y - 4 = -1(x + 2)

y - 4 = -x - 2

y = -x + 2

Answer: D, x < 8

Step-by-step explanation: Subtract 18 from both sides.

Simplify the expression

Subtract the numbers

Subtract the numbers

Divide both sides by the same factor, and flip the relation because the factor is negative

Cancel terms that are in both the numerator and denominator

Divide the numbers

−6x+18−18>−30−18=

=x<8

This can be seen by using the chain rule, where the derivative of cscx can be written as d/dx(cscx) = d/dx(1/sinx) = (−1/sinx)(cosx) = (−1/sinx)(−cotx) =−cscxcotx.

The attempt to derive the derivative of cscx is as follows:

(cscx)(−cotx) = −cscxcotx

(cscx)' = (−cscxcotx)'

= (−cscx)'(cotx) + (−cotx)'(cscx)

= (−cscx)(−cscx) + (−cscxcotx)

The error first appears in the third step, where the derivative of cscx is incorrectly taken as (−cscx). The correct derivative of cscx is −cscxcotx. This can be seen by using the chain rule, where the derivative of cscx can be written as d/dx(cscx) = d/dx(1/sinx) = (−1/sinx)(cosx) = (−1/sinx)(−cotx) =−cscxcotx.

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Answer:

population mean

Step-by-step explanation:

This price is a population mean, and symbol used to denote it is μ = ΣX/N.

A mean in maths is the average of a data set, found by adding all numbers together and then dividing the sum of the numbers by the number of numbers.

Mathematically,

Mean = Sum of the observations/number of observations

Now it is given that,

average price of the paintings = $350

Number of paintings = 20

Now since the average is calculated by adding the prices of all the paintings and divides this number by 20.

Thus, it is a population mean denoted by the summation of X divided by the number of values in population which is denoted by Ν

⇒ μ = ΣX/N

Thus, this price is a population mean, and symbol used to denote it is μ = ΣX/N.

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Answer:

B) 9

Step-by-step explanation:

2-(-7)=2+7=9

Answer:

Since a₁ = 36 and d = 1/3 the formula for this geometric sequence is aₙ = 36(1/3)ⁿ⁻¹ which means a₆ = 36 * 1/3⁵ = 0.148.

Answer:

answer is 15

please that is what I'm thinking

Answer:

Beat#s 6 and 7

Step-by-step explanation:

at beat# 6 its 444.0 at beat# 7 its 392.0.

The required zero places of the given equation  y= x² + 5x + 6 is x = -2 and x = -3.

Given that,
An equation   y= x² + 5x + 6,
To determine the Zeros of the equation given above.

The equation is the relationship between variables and is represented as y =ax + b is an example of a polynomial equation.

Here, given equation is, y= x² + 5x + 6
Now, let y = 0
x² + 5x + 6 = 0
x² + 2x + 3x + 6 = 0
x(x + 2) + 3 (x + 2) = 0
(x + 2) * (x + 3) = 0
x + 2 = 0    ;   x + 3 = 0
x = -2  and x = -3

Thus, the required zero places of the given equation  y= x² + 5x + 6 is x = -2 and x = -3.

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let's first off, convert the mixed fractions to improper fractions.

\(\stackrel{mixed}{8\frac{2}{5}}\implies \cfrac{8\cdot 5+2}{5}\implies \stackrel{improper}{\cfrac{42}{5}}~\hfill \stackrel{mixed}{6\frac{7}{10}} \implies \cfrac{6\cdot 10+7}{10} \implies \stackrel{improper}{\cfrac{67}{10}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{42}{5}-\cfrac{67}{10}\implies \cfrac{(2)42~~ - ~~(1)67}{\underset{\textit{using this LCD}}{10}}\implies \cfrac{84-67}{10}\implies \cfrac{17}{10}\implies 1\frac{7}{10}\)

The amount of Gatorade that Marcus would drink while walking 12 miles depends on several factors such as his personal preference, level of exertion, and the weather conditions.

However, a general rule of thumb is to drink about 8 ounces of fluid (water or sports drink) for every 20 minutes of exercise. If we assume that Marcus takes about 2 hours to walk 12 miles, he would be walking for 120 minutes, and he would need to drink about 48 ounces (8 ounces x 6 cycles of 20 minutes) of fluid during his walk. Therefore, Marcus would drink about 48 ounces of Gatorade (or any other fluid) during his 12-mile walk.

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In year 2, using the Double Declining Balance (DDB), 150% Declining Balance (DB), and Straight-Line (SL) depreciation methods, the depreciation and book value for the equipment purchased by Halcrow Yolles can be determined.

The Double Declining Balance (DDB) method is an accelerated depreciation method where the annual depreciation expense is calculated by multiplying the book value at the beginning of the year by two times the straight-line depreciation rate. In this case, the straight-line depreciation rate is 1/5 or 20%. In year 2, the depreciation expense using DDB is $200,000 (2 x $500,000 x 20%). The book value at the end of year 2 would be $300,000 ($500,000 - $200,000).

The 150% Declining Balance (DB) method is similar to DDB, but with a depreciation rate of 1.5 divided by the useful life, which in this case is 5 years. Therefore, the depreciation rate for 150% DB is 30% (1.5 / 5). The depreciation expense using 150% DB in year 2 is $150,000 ($500,000 x 30%). The book value at the end of year 2 would be $350,000 ($500,000 - $150,000).

The Straight-Line (SL) method allocates an equal amount of depreciation expense over the useful life. In this case, the annual depreciation expense using SL is $100,000 ($500,000 / 5). Therefore, the depreciation expense for year 2 using SL is also $100,000. The book value at the end of year 2 would be $400,000 ($500,000 - $100,000).

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Statements - reasons :-

<1~= <5 - Corresponding Angles Theorem

<1 ~= <7 - Alternate Exterior Angles Theorem

<5 ~=<7 - Vertical Angles Theorem

line I || line m - Transitive Property

Answer:

A) y=3x+1

Step-by-step explanation:

Use the formula y=mx+b

m is the slope and b is the y intercept

the graph starts on 1 on the y axis so you replace 1 for b

the slope goes up 3 and over one, giving the fraction 3/1 or just 3. so you replace 3 for m.

A congruent rectangle is a rectangle that has the same size and shape as another rectangle. In other words, two rectangles are congruent if they have the same length and width.

Since the rectangle is 4 inches by 7 inches, one of the dimensions represents the length and the other represents the width. The length and the width can be interchanged to form a different rectangle with the same area.

Since the rectangle is congruent to the 4-inch by 7-inch rectangle, the length and width of the rectangle are either 4 inches or 7 inches. Therefore, the length of segment JM can be either 4 inches or 7 inches.

So, there are two possible values for the length of segment JM: 4 inches and 7 inches.

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Answer:

We know that, if in a distribution one tail is longer than the other, the distribution is skewed.

Here in the given histogram, it has a long right tail which is in the positive direction on the x axis. So it is right skewed distribution. That is also known as positive skewed distribution.

Step-by-step explanation:

So here we have got the required answer. Option C is correct.

a. The equation for the line tangent to the graph is W(0.4) ≈ 3 + 3(0.4) = 4.2°C.

b. The particular solution to the differential equation with the initial condition W(0) = 3 is W(t) = 3e^(3sin(t/2)).

c. To find the cost of operating the refrigerator for the 24-hour interval, an expression involving an integral would be ∫[0, 24] 0.001(W(t) - 20) dt.

a. To find the equation for the line tangent to the graph of W(t) at t = 0, we can find the derivative dW/dt and evaluate it at t = 0. We have dW/dt = 3cos(t/2)W. Evaluating it at t = 0 gives dW/dt = 3cos(0/2)W = 3W. This represents the slope of the tangent line. Using the point-slope form, we get the equation for the tangent line as W(t) ≈ 3 + 3t. Plugging in t = 0.4, we find W(0.4) ≈ 3 + 3(0.4) = 4.2°C as an approximation for the temperature inside the refrigerator at t = 0.4 hours.

b. To find the particular solution to the differential equation dW/dt = 3cos(t/2)W with the initial condition W(0) = 3, we can separate variables and integrate both sides. After solving the integral, we arrive at the particular solution W(t) = 3e^(3sin(t/2)).

c. The cost of operating the refrigerator accumulates at a rate of $0.001 per hour for each degree that the temperature in the kitchen exceeds the temperature inside the refrigerator. Let's denote the cost as C(t). To find the cost for the 24-hour interval, we need to calculate the accumulated cost over that period. This can be expressed as the integral of the rate of accumulation, which is 0.001 multiplied by the difference between the kitchen temperature (20°C) and the temperature inside the refrigerator W(t), integrated from t = 0 to t = 24. Thus, the expression involving an integral to find the cost of operating the refrigerator for the 24-hour interval is ∫[0, 24] 0.001(W(t) - 20) dt.

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The coordinates for point B are 7 = √(x - 5)² + (y - 4)².

What is the distance formula?

The distance formula is used to calculate the length of the line which joins the two points in an x−y plane. The distance between two points is the length of the line joining the two points. If the two points lie on the same horizontal or same vertical line.

Here, we have

Given: Segment AB Has point A located At (5, 4). If The Distance from A To B Is 7 units.

To find the distance between any two the following formula is used.

D = √(x₂ - x₁)² + (y₂ - y₁)²

7 = √(x - 5)² + (y - 4)²

Hence, the coordinates for point B are 7 = √(x - 5)² + (y - 4)².

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