Which of the following is a scalar quantity, and not a vector?
velocity
temperature
acceleration
displacement

1. The values of x on the straight line is 28.

2. The value of x in the triangle is 12.

Angles on a straight line relate to the sum of angles that can be arranged together so that they form a straight line.

The measure of angles on a straight line is 180 degrees.

Therefore,

65 + 4x + 3 = 180

65 + 3 + 4x = 180

68 + 4x = 180

4x = 180 - 68

4x = 112

divide both sides by 4

x = 112 / 4

x = 28

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

Hence,

128 = 3x - 2 + 7x + 10

128 = 10x + 8

128 - 8 = 10x

120 = 10x

x = 120 / 10

x = 12

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Given :

We have to find value of m\(.\)

➠ 9(m + 5) - 3(m - 2) = 8m + 31

➠ 9m + 45 - 3m + 6 = 8m + 31

➠ 9m - 3m + 45 + 6 = 8m + 31

➠ 6m + 51 = 8m + 31

➠ 51 - 31 = 8m - 6m

➠ 20 = 2m

➠ m = 20/2

➠ m = 10

Answer:

yesss

Step-by-step explanation:

Unit conversion is a way of converting some common units into another without changing their real value. The value of (3π/4) radian converted to a degree is 135°.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimeter is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

Since π radian is equal to 180°. Therefore, the value of (3π/4) radian is equal to,

1 radian = 180°/π

(3π/4) radian = (3π/4) × (180°/π) = 135°

Hence, the value of (3π/4) radian converted to a degree is 135°.

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Answer:

option 2

Step-by-step explanation:

The correct option is C

Containing both apples and oranges

A set of items can be divided into subsets in two different ways: combination and permutation. The components of the subset may be arranged in any order when combined. The subset's components are listed in a permutation in a certain order.

The box with the words "apples and oranges" must be opened. By definition, the fruit in the box is the sole type of fruit it contains. Let's say you discovered an apple in the box that had both apples and oranges listed on the label. Since you know it must consequently only contain apples, you draw the conclusion that the box labeled "oranges" cannot contain only oranges because all boxes have allegedly been mislabeled. As a result, the box marked "oranges" must have both apples and oranges while the box marked "apples" can only include oranges.

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I understand that the question you are looking for is:

There are three boxes, one contains only apples, one contains only oranges, and one contains both apples and oranges. The boxes have been incorrectly labeled such that no label identifies the actual contents of the box it labels. Opening just one box, and without looking in the box, you take out one piece of fruit. By looking at the fruit, you can immediately label all of the boxes correctly. Which box did you open?

A. Containing apple

B. Containing oranges

C. Containing both apples and oranges

D. Cannot be determined

The area of an equilateral triangle is 15.073 square centimeter and the perimeter is 17.7 centimeter.

Given that, each side of an equilateral triangle is 5.9 cm.

Here, perimeter of an equilateral triangle is 3a, where a is edge of an equilateral triangle.

So, the perimeter of an equilateral triangle = 3×5.9

= 17.7 cm

We know that, area of an equilateral triangle = √3/4 ×a²

= √3/4 ×5.9²

= 15.073 square centimeter

Therefore, the area of an equilateral triangle is 15.073 square centimeter and the perimeter is 17.7 centimeter.

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Answer:

Answer:

7.90

Step-by-step explanation:

turn 17.3% into decimal which is 0.173

45.94*0.173 = 7.90168

round to 2 dp is 7.90

Hinduism is one of the suggested timelines for the foundation of significant world religions. Islam Buddhism Christianity The right answer is C.

With more than two billion adherents, Christianity is the largest of the world's main religions. Christianity, which has been around for around 2,000 years, is founded on the life and teachings of Jesus. Faith and reason have always been seen as the basis of religious beliefs. There are reportedly 10,000 different religions in the globe, although almost all of them have localised, insignificant followings.

JUDAISM.

CHRISTIANITY.

ISLAM.

HINDUISM.

BUDDHISM.

SIKHISM.

ANIMISM.

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r=13/2

After I solved it it was kinda easy

Answer:

r=13/2

Step-by-step explanation:

The integration by part  is \(\frac{x^{3}In x }{3} -\frac{x^{3} }{9} +C\) with indicated choices of u and dv.

The method Integration by Parts is known to be a special method of integration that is often useful. In calculus, definite integrals are referred to as the integral with limits such as upper and lower limits. It is also possible to derive the formula of integration by parts with limits.

Given: ∫ \(x^{2} In x dx\) ; \(u=In x\) ; \(dv=x^{2} dx\)

Consider  \(u=In x\) and \(dv=x^{2} dx\)

⇒ \(u=In x\)             ⇒  \(dv=x^{2} dx\)

⇒ \(du= \frac{1}{x} dx\)           ⇒ \(v=\frac{x^{3} }{3}\)

Now, apply integration by parts to solve the integral

∫ u dv =  uv - ∫ v du

the antiderivative of \(x^{n}\)\(=\frac{x^{n+1} }{n+1}\) and the derivative of In x = \(\frac{1}{x}\) .

⇒ ∫ \(x^{2} In x dx =\)\(\frac{x^{3} In x}{3} -\frac{x^{3} }{3} .\frac{1}{x} dx\)

                     = \(\frac{x^{3}In x }{3}\) \(-\frac{x^{2} }{3} dx\)

                     =  \(\frac{x^{3}In x }{3}\) \(-\frac{x^{3} }{9} +C\)

Hence, the final integration is   \(\frac{x^{3}In x }{3}\) \(-\frac{x^{3} }{9} +C\)

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The instantaneous rate of change of the surface area S of the balloon with respect to the radius r is 8πr.

Given a spherical balloon is being inflated, we are supposed to determine the instantaneous rate of change of the surface area s of the balloon concerning the radius r.

In order to solve the above question, we need to find the derivative of surface area w.r.t radius.

The formula for the surface area of a sphere is given as:

S = 4πr²

Now, we will differentiate the above equation with respect to r.

dS/dr = d/ds (4πr²) = 8πr

We can observe that the instantaneous rate of change of the surface area S of the balloon w.r.t the radius r will be 8πr.

Hence, the instantaneous rate of change of the surface area S of the balloon with respect to the radius r is 8πr.

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Answer:

Step-by-step explanation:

its is 192 ft2

Answer:  b) -1 < x < 0

Step-by-step explanation:

Graph the equation to see where it crosses the x-axis.  The x-intercepts are the zeros of the function.

The graph shows only one zero, which lies between x = -1 and x = 0.

The solutions to the equations are

1. x = 4

2. x = -12

3. x = 0 and x = 4

The solutions to the inequalities are

4. -5 < x < 1

5. x ≤ -3 and x ≥ 4

From the question, we have the following equations

1. 4x + 6 = 8x - 10

2. -3/4x - 2 = -1/2x + 1

3. |4 - 2x| + 5 = 9

Next, we split the equations to 2

So, we have

1. y = 4x + 6 and y = 8x - 10

2. y = -3/4x - 2 and y = -1/2x + 1

3. y = |4 - 2x| + 5 and y = 9

Next, we plot the system of equations (see attachment) and write out the solutions

The solutions are

1. x = 4

2. x = -12

3. x = 0 and x = 4

From the question, we have the following inequalities

4. x² + 4x - 5 < 0

5. x² - x - 12 ≥ 0

Next, we plot the system of inequalities (see attachment) and write out the solutions

The solutions are

4. -5 < x < 1

5. x ≤ -3 and x ≥ 4

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Answer:

g(x) = log(x+1) + 4

Step-by-step explanation:

If a curve has been translated (shifted or slid) you can add to or subtract from the x to show horizontal (left or right) shifts and add or subtract a number tacked onto the end of the equation to cause the vertical shift (up or down).

The curve for g(x) is shifted left 1 unit. So change the x to x+1. Left and right shifts are a little backwards from what you might think. But left shift is a +1.

Vertical shifts adjust the way you would think they should. UP shift 4 units is a +4 on the end of the equation. See image.

High Voltage, Inc. should use the following notation to construct its null and alternative hypotheses:                           Null Hypothesis: H0: μ1 - μ2 = 0; Alternative Hypothesis: H1: μ1 - μ2 ≠ 0; where μ1 represents the mean life span of High Voltage's product and μ2 represents the mean life span of the competitor's product.

The notation High Voltage should use to construct its null and alternative hypotheses is:

(i) Null Hypothesis: H0: μ1−μ2=0

where μ1 represents the mean life span of High Voltage's product and μ2 represents the mean life span of the competitor's product.

(ii) Alternative Hypothesis: Ha: μ1−μ2≠0

Where,μ1 and μ2 are the mean lifespan of the light bulbs of High Voltage and its competitor, respectively.

In this problem, paired samples t-test should be used to test the hypotheses.

Paired sample t-test: It is a statistical procedure used to compare two population means with two samples of dependent observations, where the dependent variable is the same or the same subject measured under different conditions. It is used when the observations are paired, i.e., each pair of observations consists of two measurements made on a single subject or item.

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I can help you with that problem i just did that on my own.

Answer:

50° degrees

CARRYONLEARNIG

Answer:

Below

Step-by-step explanation:

See image

The general expression is 130 x - 600 and total points scored by the player is 1220

A) Let the number of correctly answered questions be x.

∴ Number of incorrectly answered questions will be 20 - x.

+ 100 points is awarded for each question answered correctly while -30 points is awarded for each question answered incorrectly.

Thus, the general equation becomes

= 100x - (20 - x)(-30)

= 100x +30x - 600

= 130x - 600

Thus the general expression becomes 130 x - 600

B)  The player answers 14 questions correctly, thus x = 14

Substituting the value of x =14 in the general equation we get,

= 130(14) - 600

= 1820 - 600

= 1220.

Thus the total points scored by the player will be 1220

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Using trend-adjusted exponential smoothing with alpha = 0.1 and beta = 0.2, the forecast for the architectural firm's August income is $94.92 thousand dollars. The mean squared error (MSE) for this forecast is 2.12 \((thousand dollars)^2\).

Trend-adjusted exponential smoothing combines exponential smoothing with a trend adjustment factor. The forecast for a given period is calculated based on the previous forecast and the previous trend value. In this case, the initial forecast for February is given as $85.0 thousand dollars, and the initial trend adjustment is 0.

To calculate the forecast for each month, we use the following formulas:

Level forecast = Previous level forecast + Previous trend adjustment

Trend forecast = Previous trend forecast + Beta * (Current level forecast - Previous level forecast)

Forecast for next period = Level forecast + Trend forecast

Using these formulas, we can calculate the forecasts for each month from February to July. Then, for August, we can apply the trend adjustment formula using the previous level forecast and trend forecast. The resulting forecast for August is $94.92 thousand dollars.

The mean squared error (MSE) is a measure of the accuracy of the forecast. It is calculated by taking the average of the squared differences between the actual income values and the forecasted values. In this case, the MSE for the forecast developed using trend-adjusted exponential smoothing is 2.12 \((thousand dollars)^2\). A lower MSE indicates a better fit between the forecast and the actual data.

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Answer:

5 students are left out in the arrangement.

Step-by-step explanation:

If the number of rows = the number of columns  

Then there must be an equal arrangement

Since the total number of students in the school is 2121

Then, the students that are left out in this arrangement = 2121 - (√2121 X √2121

Note the result of the square root would only consider the whole number, the digits after the decimal point signifies the remaining number that can't fit into the arrangement

so, √2121 = 46.05 (so 46 would be used)

= 2121 - (46 X 46)

= 2121 - 2116 = 5

Therefore 5 students are left out in the arrangement.

Answer:y=3x+5

Step-by-step explanation:

11=3(2)+5

17=3(4)+5

Answer:

Y=3x + 5

Step-by-step explanation:

we have

198 --> 200

25 --> 30

so,

answer: 200 x 30 = 6000

Answer:

C, at 0/25, 1/20, 2/15, 3/10,...

Answer:

C

Step-by-step explanation:

\(\bold{\text{Answer:}\quad \dfrac{-48x^4-42x^3-15x^2-5x}{(8x+7)(3x+1)}}\)

Step-by-step explanation:

\(.\quad \dfrac{-5x}{8x+7}-\dfrac{6x^3}{3x+1}\\\\\\=\dfrac{-5x}{8x+7}+\dfrac{-6x^3}{3x+1}\\\\\\=\dfrac{-5x}{8x+7}\bigg(\dfrac{3x+1}{3x+1}\bigg)+\dfrac{-6x^3}{3x+1}\bigg(\dfrac{8x+7}{8x+7}\bigg)\\\\\\=\dfrac{-15x^2-5x}{(8x+7)(3x+1)}+\dfrac{-48x^4-42x^3}{(8x+7)(3x+1)}\\\\\\=\large\boxed{\dfrac{-48x^4-42x^3-15x^2-5x}{(8x+7)(3x+1)}}\)

The another equivalent expression of total liquid is (x+2)/4.

Expressions that perform similarly but differ in appearance are said to be equivalent expressions. When the same value for the variable is entered, two algebraic expressions that are equivalent will have the same result.

x quarts liquid in the container 3/4 part of liquid is removed

Then remaining liquid in container = X - \(\frac{3}{4}X\)

Then remaining liquid in container = x/4quarts

Another 1/2 quart is poured into container

Then total liquid = \(X-\frac{3}{4}X+\frac{1}{2}\) quarts

total liquid = \(\frac{X+2}{4}\) quarts

So, then the another equivalent expression of total liquid is (x+2)/4.

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