Question 21 of 40 Solve: 5(x + 2) = 3x + 5 O A x= - 10 o x O B. x=- Ос-- O c. x O D. X = 5​

Answer:

Cylinder

Step-by-step explanation:

V cylinder= πr²h= 3.14*2.1²*6= 83.0844 cm²

V prism= bh= 1/2*4*3.5*10= 70 cm²

Cylinder holds more as it has greater volume

To compute f(x) = 5NSi=0 aix using a simple routine to perform exponentiation, the time required will depend on the value of N.

The simple routine to perform exponentiation involves multiplying the base (ai) by itself x times. Therefore, the time required to compute f(x) will be proportional to the value of N.

For example, if N = 2, then the time required to compute f(x) will be 2 times the time required to compute aix. If N = 3, then the time required to compute f(x) will be 3 times the time required to compute aix, and so on.

In general, the time required to compute f(x) using a simple routine to perform exponentiation will be O(N), where N is the value of N in the function f(x) = 5NSi=0 aix.

Therefore, the time required to compute f(x) using a simple routine to perform exponentiation will depend on the value of N and will be proportional to N.

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To calculate the shaded space in the given scenario, we need more information about the location of the points A, B, C, and D. Without specific coordinates or additional details, it is not possible to provide an exact answer. However, we can discuss the general approach to finding the shaded space.

The shaded space refers to the area enclosed by the circle and outside the square. To calculate this area, we would need to know the position of the points A, B, C, and D, which form the square. Additionally, the position of the square relative to the circle's center would be crucial.
If we assume that the square is inscribed within the circle, meaning its four vertices touch the circle's circumference, we can calculate the shaded space by finding the difference between the area of the circle and the area of the square. The area of the circle can be calculated using the formula A = πr^2, where r is the radius. In this case, the radius is given as 4.2 cm. The area of the square can be found by squaring the length of its sides.
However, without more specific information, it is not possible to provide an exact calculation for the shaded space.

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Answer:

The answer is b

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

The critical value of a two-tailed test with a 5% significance level and 118 degrees of freedom is ±1.980.  Give the exact value from the critical value table.

Therefore, to find the critical value for testing if the correlation is significant at a = .05 and a two-tailed test, use the following steps:

Step 1: Determine the degrees of freedom = n - 2where n is the sample size. df = 120 - 2 = 118

Step 2: Look up the critical value in a critical value table for a two-tailed test with a significance level of 0.05 and degrees of freedom of 118. The critical value of a two-tailed test with a 5% significance level and 118 degrees of freedom is ±1.980.

This implies that if the calculated correlation value is greater than 0.961 or less than -0.961, the correlation is statistically significant at a = .05.

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Answer:

5.root730 6.root329 8.root39

Step-by-step explanation:

use pythagoras law because its right angled triangle

hypautnse=root(side^2+side^2)

SORRY I DONT KNOW HOW TO TYPE ROOT SIGN ON HERE

Answer:

5. - 27.02

6. - 18.14

8. - 6.24

Step-by-step explanation:

Hello There!

Because each triangle is a right triangle we can solve for the missing side length using the Pythagorean Theorem

The Pythagorean theorem states that the sum of the two legs squared is equal to the hypotenuse squared

\(a^2+b^2=c^2\)

For number 5 we are given two legs so all we have to do is plug in the values

\(17^2+21^2=c^2\)

now we solve for c

\(17^2=289\\21^2=441\\441+289=730\\c^2=730\\\sqrt{c^2} =c\\\sqrt{730} =27.01851217\)

we're left with c = 27.01851217

are final step is to round to the nearest hundredth

So we can conclude that the missing side length is equal to 27.02

For number 6 we are given the hypotenuse and a leg

So this time we use this equation

\(a^2=c^2-b^2\)

where a^2 = missing leg

now we plug in the values and solve for a

\(a^2=27^2-20^2\\27^2=729\\20^2=400\\729=329\\a^2=329\\\sqrt{a^2} =a\\\sqrt{329} =18.13835715\)

we're left with a = 18.13835715

our final step is to round to the nearest hundredth

So we can conclude that missing side length is equal to 18.14

For number 8 we are given the hypotenuse and a leg

so once again we use this equation:

\(b^2=c^2-a^2\)

now we plug in the values and solve for x

\(b^2=8^2-5^2\\8^2=64\\5^2=25\\64-25=39\\b^2=39\\\sqrt{b^2} =b\\\sqrt{39} =6.244997998\)

we're left with b = 6.244997998

our final step is to round to the nearest hundredth

so we can conclude that the missing side length is equal to 6.24

The mass of the piece of paper is 550 times greater than the mass of the feather.

Herein we have the masses of a piece of paper and a feather, the former is in common notation but the latter is in scientific notation. Due to comfort issues and the desire for clearer and quicker operations, we decided to convert the mass of the piece of paper to scientific notation:

Piece of paper

4.4 × 10⁰ grams

Feather

8.0 × 10⁻³ grams

Then, by definition of ratio, we divide the mass of the piece of paper to the mass of the feather:

r = (4.4 × 10⁰ / 8.0 × 10⁻³)

r = (4.4 / 8.0) × 10³

r = 0.55 × 10³

r = (5.5 × 10⁻¹) × 10³

r = 5.5 × 10²

By converting r into normal notation:

r = 5.5 × 100

r = 550

The mass of the piece of paper is 550 times greater than the mass of the feather.

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Answer:

3

Step-by-step explanation:

because if N = 6, then you will have to substitute the n to n and then do the order of operation. first it will be 6+3=9 and then 9*5=45. then you will do 7*6=42 and then subtract 45-42=3

Answer:

3

Step-by-step explanation:

Okay, since we know what n equals to, all we have to do is insert 6 where n was:

\(5(6+3)-7(6)\)

Now we just need to simplify, so:

\(30 + 15 - 42\)

\(45-42\)

And we get our answer

\(= 3\)

The value of x of the given equation is 2.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given:

The given equation is

4(4 – 12x) – 2(x – 12) + 5x = –50

We have to find the value of x.

According to given question we have

4(4 – 12x) – 2(x – 12) + 5x = –50

Rearrange terms we get,

4(– 12x+4) – 2(x – 12) + 5x = –50

Distribute we get,

-48x+16-2x+24+5x=-50

Compare the like terms we get,

-45x=-50-40

-45x=-90

x=2

Therefore, the value of x of the given equation is 2.

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Statistics is an important tool used in various disciplines such as science, business, social sciences, medicine, and many others. It is the study of data, its analysis, and interpretation. Statistics plays a crucial role in decision making as it provides a way of summarizing and understanding the data collected.

There are two main types of statistics, namely descriptive statistics and inferential statistics. Descriptive statistics is used to describe or summarize the data collected. It provides information about the central tendency, dispersion, and shape of the data.Inferential statistics is used to make inferences and generalizations about the population based on the sample data collected. It involves using statistical techniques to estimate population parameters based on the sample data collected.

Inferential statistics is useful in hypothesis testing, prediction, and decision making. It enables us to determine the probability of an event occurring and to make predictions based on the sample data collected.
In conclusion, statistics is an important tool used in various disciplines to analyze and interpret data. The two main types of statistics, descriptive and inferential, are used to describe and infer conclusions about the data collected.

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A total of 240 participants are required for the study.

In a between-subjects factorial design, researchers manipulate two or more independent variables to examine their effects on the dependent variable. In this design, participants are randomly assigned to one of the treatment groups formed by the combination of the levels of the independent variables.

In a 2x4 factorial design, there are two independent variables, each with two levels. The first independent variable has two levels, and the second independent variable has four levels. Therefore, there are eight possible combinations of the independent variables, andbare assigned to each of these combinations.

To calculate the total number of participants required for the study, we simply multiply the number of participants per combination by the total number of combinations. Number of levels for the first independent variable (2) multiplied by the number of levels for the second independent variable (4) multiplied by the number of participants per cell (30).

In this case, we have:

30 participants per combination x 8 combinations = 240 total participants

So the total number of participants required is:

2 x 4 x 30 = 240 participants.

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Answer:

The equation for the line t, y + 8 = 12(x + 7) written in slope intercept form is

y = 12x + 76

The equation of our new parallel line u in slope intercept form is

y = 12x - 86

Step-by-step explanation:

\(y = mx + b\)

\(y + 8 = 12(x + 7) \\ y + 8 = 12x + 84\\ y = 12x + 76\)

substitute in the point (8, 10) to find the new y-intercept

\(y - mx = b \\ 10 - 12(8) = b \\ 10 - 96 = b \\ b = - 86\)

remember parallel line will have the same slope 12x

\(y = 12x - 86\)

Therefore, in a 2x2 table, the pattern of cell frequencies that would indicate independence is d. All cell frequencies are exactly the same.

In a 2x2 contingency table, the expected cell frequencies under the null hypothesis of independence are equal for all cells. If the observed cell frequencies in the table are approximately equal to the expected cell frequencies, then we can conclude that there is no significant association between the two variables being studied. In other words, the pattern of observed cell frequencies is consistent with the null hypothesis of independence. Therefore, if all cell frequencies are exactly the same, it suggests that the variables are independent, as each cell has an equal chance of being filled by any observation regardless of the value of the other variable.

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Based on the information, a15 in this progression is 32,768.

The balance existing in this account would be $4,310.67.

a. It should be noted that to ascertain the value of a15 within this sequence (2, 4, 8, 16...), we can use the formula: a15 = a1 * r^(n-1) where a1 is the initial term, r being the constant ratio, and n being the particular element to calculate. When these values are inputted, it follows that a15 = 2 * 2^14, equalling 32,768 as the result. Thus, a15 in this progression is 32,768.

Calculating Balance Based on Compound Interest:

From the problem given with P = $3,400, r = 4%, n = 4 (frequency of quarterly compounding), and t = 6, by substitution, A = 3400(1 + 0.04/4)^(4*6) then becomes A = 3400(1.01)^24 equaling A = 3400(1.268242) resolved to A = $4,310.67. Ultimately, after six years have elapsed, the balance existing in this account would be $4,310.67.

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The total number of people who have the disease is 115.

The total number of people in the sample population is

Total = 175

The negative predictive value is

NPV= (TN / (TN + FN)) = (25 / (25 + 55) = 25 / 80 = 0.3125

The positive predictive value

PPV = (TP / (TP + FP)) = (60 / (60 + 35) = 60 / 95 = 0.6316

The sensitivity of the test

Sensitivity = (TP / (TP + FN)) = (60 / (60 + 55) = 60 / 115 = 0.5217

The total number of people who have the disease

= 60+55 = 115

The number of False Positives (FP)

= 35

The number of True Positives (TP)

= 60

The total number of people that tested negative

= 80

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The statement that is not true about a rational function of the form f(x) where g and h are polynomial functions is D. A rational function may have many horizontal asymptotes.

A rational function is defined as the ratio of two polynomial functions, where g and h are polynomials and h is not the zero polynomial. The graph of a rational function can have vertical asymptotes, which occur when the denominator of the function is equal to zero. However, a rational function can intersect a vertical asymptote if the numerator is also equal to zero at that point.

Regarding vertical asymptotes, statement A is true. The graph of a rational function will never intersect a vertical asymptote, as long as the function is defined at that point.

Statement B is also true. A rational function may have multiple vertical asymptotes if the denominator has multiple factors that result in the function being undefined at different points.

Statement C is also true. If the degrees of g and h are m and n, respectively, and m is less than or equal to n, then the rational function will have a horizontal asymptote with an equation of y = (a/b).

However, statement D is not true. A rational function can have at most one horizontal asymptote, and this occurs when the degree of g is equal to the degree of h. The equation of the horizontal asymptote is y = (a/b), where a is the leading coefficient of g and b is the leading coefficient of h.

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To predict a linear regression score, you first need to train a linear regression model using a set of training data.

Once the model is trained, you can use it to make predictions on new data points. The predicted score will be based on the linear relationship between the input variables and the target variable,

A higher regression score indicates a better fit, while a lower score indicates a poorer fit.

To predict a linear regression score, follow these steps:

1. Gather your data: Collect the data p

points (x, y) for the variable you want to predict (y) based on the input variable (x).

2. Calculate the means: Find the mean of the x values (x) and the mean of the y values (y).

3. Calculate the slope (b1): Use the formula b1 = Σ[(xi - x)(yi - y)]  Σ(xi - x)^2, where xi and yi are the individual data points, and x and y are the means of x and y, respectively.

4. Calculate the intercept (b0): Use the formula b0 = y - b1 * x, where y is the mean of the y values and x is the mean of the x values.

5. Form the linear equation: The linear equation will be in the form y = b0 + b1 * x, where y is the predicted value, x is the input variable, and b0 and b1 are the intercept and slope, respectively.

6. Predict the linear regression score: Use the linear equation to predict the value of y for any given value of x by plugging the x value into the equation. The resulting y value is your predicted linear regression score.

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Answer:

2p - 12

Step-by-step explanation:

(24p - 10) + (-22p - 2)

24p - 10 - 22p - 2

2p - 12

So, the answer is 2p - 12

Answer:

The Height of an Average Door is about 80 Inches. So it is 7 Feet

Step-by-step explanation:

Converting 7 feet into Inches it becomes 84, which is the closet to a standard door.

Answer:

Step-by-step explanation:

39 + 48 = 87 pounds to start with

87 - 13 = 74 pounds after spilling

74 / 7 = 10 bricks

4 pounds washed out

The answers to the questions involving trigonometry are: 90, BC/AB ÷ BC/AB = 1, g = 6.5, <I = 62 degrees, h= 13.8, 12.0, x = 6.8, x = 66.4, 160.6, The pole = 6.7

Trigonometric ratios are special measurements of a right triangle, defined as the ratios of the sides of a right-angled triangle.  There are three common trigonometric ratios: sine, cosine, and tangent

For page 3 question 3,

a) <A + <B = 90 since <C = right angle

b) SinA = BC/AB and CosB = BC/AB

The ratio of the two angles BC/AB ÷ BC/AB = 1

I notice that the ratio of sinA and cosB gives 1

b) The ratio of CosA and SinB will give

BC/AB ÷ BC/AB

= BC/AB * AB/BC = 1

For page 5 number 3

Tan28 = g/i

g/12.2 = tan28

cross multiplying to have

g = 12.2*tan28

g = 12.2 * 0.5317

g = 6.5

b) the angle I is given as 90-28 degrees

<I = 62 degrees

To find the side h we use the Pythagoras theorem

h² = (12.2)² + (6.5)²

h² = 148.84 +42.25

h²= 191.09

h=√191.09

h= 13.8

For page 6

1) Sin42 = x/18

x=18*sin42

x = 18*0.6691

x = 12.0

2) cos28 = 6/x

xcos28 = 6

x = 6/cos28

x [= 6/0.8829

x = 6.8

3)  Tan63 = x/34

x = 34*tan63

x= 34*1.9526

x = 66.4

4) Sin50 123/x

xsin50 = 123

x = 123/sin50

x = 123/0.7660

x =160.6

5)  Sin57 = P/8

Pole = 8sin57

the pole = 8*0.8387

The pole = 6.7

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Linear refers to a straight line when plotted on a graph, while logarithmic refers to a curve that follows the logarithmic function. Linear relationships are those where the rate of change is constant. Logarithmic relationships are those where the rate of change increases or decreases as the value of the independent variable increases.

Linear relationships are those where the rate of change is constant no matter how the independent variable changes. In this type of relationship, the y-value increases or decreases at a constant rate as the x-value increases. For example, if a graph shows a linear relationship, the data points will form a straight line when plotted on a graph. Logarithmic relationships are those where the rate of change increases or decreases as the independent variable increases. In this type of relationship, the y-value increases or decreases more quickly as the x-value increases. This can be seen when plotting the data on a graph as a curved line. An example of this type of relationship is the exponential growth of a population as the population increases.

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The number of sales a promoter can expect if he spends $10,000 in advertising is $80,000 that is option B.

While going through a word problem like this, read it a few times to comprehend the context without focusing too much on the numbers..... Something along the lines of....

"If a promoter spends money on advertising, he will get more customers."

Short sentences should be used to summarise the content.

$10,000 is spent by the promoter.

"For every $100 spent, 20 new customers are drawn."

"Tickets are $40."

In one calculation this would be:

Using ratio of,

income/expenditure = 800/100 = income/10,000

= 10000 x 20 x 40 / 100

= 80,000

Therefore, the value of sale increase should be $80,000.

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If x is the number of defective cameras in the 2-size sample, that means that:

P(x = 0) = 0 (since there are no 2 cameras that can be selected without replacement that are not defective)

P(x = 1) = 5/15 = 1/3 (since there are 15 total ways to select a distinct sample and only 5 of these would have the non-defective one in them)

P(x = 2) = 10/15 = 2/3 (since there are 15 total ways to select a distinct sample and 10 of these would NOT have the non-defective one in them)

Answer:

4th option

Step-by-step explanation:

given the graph of f(x) then f(x) + c is a vertical translation of f(x)

• if c > 0 then a shift up of c units

• if c < 0 then a shift down of c units

then

g(x) = f(x) - 3 represents a shift down of 3 units

the vertex of the graph of g(x) is 3 units below the vertex of f(x)

First, we need to convert 253 lb to kilograms. Given that 1 kg is equivalent to 2.205 lb, then:

The dosage Justin should receive is directly proportional to his weight. Given that a dosage of 11 mg corresponds to a weight of 20 kg, then to find the dosage that corresponds to 114.74 kg we can use the next proportion:

Solving for x:

He should receive a dosage of 63.1 mg

Answer:

The third table of values matches the equation and includes only viable solutions.

Step-by-step explanation:

Loaves of bread: b can't be a negative value, then the first table doesn't include viable solutions.

The number of loaves of bread must be a whole number, then the second table doesn't include viable solutions.

c=3.5b

if b=0→c=3.5(0)→c=0

If b=3→c=3.5(3)→c=10.5

If b=6→c=3.5(6)→c=21

If b=9→c=3.5(9)→c=31.5

The third table includes viable solutions

The angles of the triangle are 40 degrees, 60 degrees, and 80 degrees.

A triangle is a two-dimensional geometric shape with three sides and three angles. It is one of the basic shapes in geometry and can be classified based on the lengths of its sides and the measure of its angles. The sum of the angles of a triangle is always 180 degrees

Let the angles of the triangle be 2x, 3x, and 4x, where x is a constant.

The sum of the angles in a triangle is always 180 degrees, so we can write

2x + 3x + 4x = 180

9x = 180

x = 20

Therefore, the angles of the triangle are

2x = 2(20) = 40 degrees

3x = 3(20) = 60 degrees

4x = 4(20) = 80 degrees

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I have solved the question in general, as the given question is incomplete.

The complete question is:

The angles of a triangle are in the ratio 2 : 3 : 4. Find the angles of the triangle

Answer:

-10d

Step-by-step explanation:

Answer:

1st and 4th are the right triangles