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Answer:

12.5%

Step-by-step explanation:

12.5% of 120 is 15 so if you take 15 divided by 120 you would get 0.125 and turned into a percentage is the 12.5%

There are several relationships between angles within a transversal of parallel lines.

The complete statement is (b) ∠7 and ∠1 are alternate exterior angles

From the figure (see attachment), we have the following highlights

The above highlights mean that:

Angles 7 and 1 are alternate interior angles

Hence, the text that completes the blank is (b) ∠1

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Answer:

b ∠1

Step-by-step explanation:

13>10 is the answer on the number line.

Explanation:

x.6 + 4x -1 > 10

6.6 = 4.6 - 1

36 = 24 - 1

36 - 23 = 13>10.

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13>10 is the answer on the number line.

A system of linear equations has a solution, which is the quantity that makes all of the equations true. This is the intersection of the two graphs for two variables and two equations. The two variables in the two equations will have a solution at these coordinates.

When x=6, x will remain 6 regardless of what y is. Therefore, simply draw a vertical straight line through (6, 0), parallel to the y axis, and extend it on both sides. The finished graph is there.

x.6 + 4x -1 > 10

6.6 = 4.6 - 1

36 = 24 - 1

36 - 23 = 13>10.

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Answer:

Step-by-step explanation:

12x^2y / 4xy = 3x

So 4xy is the highest common factor.

Answer:

4x2y

Step-by-step explanation:

4xy = 4x4y

12x ÷ 4 = 3x

2y ÷ 2 = 1y

Hope this helps !

Merry Christmas

Answer:

8.5

Step-by-step explanation:

15x+10+6x+2=180 (add up to we 180 because they are alternate eachother

21x+12=180 combine like terms

21x=178 subtract 12 from both sides

x~~8.5 divide both sides by 21

7x5 -7 x 2 =21

5x-2x =21

Combine like terms

3x=21

Divide both sides by 3

x=21/3

x=7

Answer:

  symmetric property

Step-by-step explanation:

The symmetric property is the one that tells you A=B means also B=A.

The obfuscating factor in this question is the renaming of angle SZW to angle WZS. Both names refer to the same angle.

The Central Limit Theorem states that for a random sample of n observations drawn from any population with a finite mean μ and a finite standard deviation σ, the sampling distribution of the sample mean approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.

To apply the Central Limit Theorem, the following condition is necessary:

1. The random sample should be selected from a population that has a finite mean (μ) and a finite standard deviation (σ).

In this case, the population mean is given as $75 and the population standard deviation is given as $5. Since both the mean and standard deviation are finite, the condition for applying the Central Limit Theorem is satisfied.

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Answer:

24,150

Step-by-step explanation:

Given that :

Salary earned this year = 23,000

Percentage Raise in salary for the new year = 5%

The new yearly salary can be obtained thus ;

(100% + percentage raise in salary) * salary earned this year

(100% + 5%) * 23,000

105% * 23000

1.05 * 23000

24,150

The statement ''the formula for finding the surface area of a cylinder is sa = πr2 πrh.'' is false because the formula for finding the surface area of a cylinder is given by: SA = 2πrh + 2πr^2 , where SA represents the surface area, r is the radius of the base, and h is the height of the cylinder.

The first term, 2πrh, represents the area of the curved surface of the cylinder (the lateral surface area), which is a rectangle that wraps around the cylinder. It is calculated by multiplying the height of the cylinder by the circumference of the base.

The second term, 2πr^2, represents the areas of the two circular bases of the cylinder.

By adding these two terms together, we obtain the total surface area of the cylinder.

Therefore, the correct formula for finding the surface area of a cylinder is SA = 2πrh + 2πr^2.

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Answer:

E= 36 D=102 F=42

Step-by-step explanation:

E= 36 because of the vertical angles theorem, d =102 because of vertical angles theorem, and finally we have f = 42 because all these angles form a straight angle/line which adds up to 180. So before we knew that d=102 and e=36 so we can add those up and we get 138. Then we subtract 132 from the measure of a straight angle (180 degrees), to get f. SO 180-132 =f=42

Answer:

x=8

Step-by-step explanation:

83+(12x+1)=180

It equal to 180 because the line measures to 180.

Then write out the equation and solve.

Answer:

x> -1/2

Step-by-step explanation:

Answer:

The answer is x > - 1/2

Step-by-step explanation:

the standard error of the mean is 14.856 2, 15 .1044.

The standard deviation is a measure that shows the spread, dispersion, and spread of variance from the mean. The standard deviation demonstrates a "average" difference from the mean. It is a well-liked measure of variability since it uses the data set's original units of measurement. A minor variation is there when data points are near the mean, and a high variation is present when they are far from the mean. The values' difference from the mean is calculated using the standard deviation. The method that is most frequently used to evaluate dispersion is standard deviation, which is based on all values. As a result, even a slight adjustment to one number can alter the standard deviation's value.

That is the truth. The result is 14.856 2, 15 .1044.

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a) The strength to weight ratio is 2/r. b) The nanotube's strength to weight ratio is 100 times greater than that of the flea's leg. 2) a) Resistance is (rho * L) / A = (2.44 × \(10^{-4\) Ω⋅m * 1.00 cm) / [\((1.00 cm)^2\)].

(a) The scaling relationship for the strength to weight ratio can be derived as follows. The strength of the object is proportional to its area, which for a cylinder can be expressed as A = 2πr(2r) = 4π\(r^2\). On the other hand, the weight of the object is proportional to its volume, given by V = π\(r^2\)(2r) = 2π\(r^3\). Therefore, the strength to weight ratio (S/W) can be calculated as (4π\(r^2\)) / (2π\(r^3\)) = 2/r.

(b) To compare the strength to weight ratio of a nanotube (r = 10 nm) and the leg of a flea (r = 100 μm), we substitute the respective values into the scaling relationship obtained in part (a). For the nanotube, the ratio becomes 2 / (10 nm) = 200 n\(m^{-1\), and for the flea's leg, it becomes 2 / (100 μm) = 2 × \(10^4\) μ\(m^{-1\). Therefore, the strength to weight ratio of the nanotube is 200 n\(m^{-1\) while that of the flea's leg is 2 × \(10^4\) μ\(m^{-1\). The nanotube's strength to weight ratio is 100 times greater than that of the flea's leg.

(a) To find the resistance of a cube of gold with side length L = 1.00 cm, we need to calculate the area and substitute the values into the resistance formula. The area of one face of the cube is A = \(L^2\) = \((1.00 cm)^2\). Given that the resistivity of gold (rho) is 2.44 × \(10^{-4\) Ω⋅m, the resistance (R) can be calculated as R = (rho * L) / A = (2.44 × \(10^{-4\) Ω⋅m * 1.00 cm) / [\((1.00 cm)^2\)].

(b) Similarly, for a cube of gold with side length L = 10.0 nm, the resistance can be calculated using the same formula as above, where A = \(L^2\) = \((10.0 nm)^2\) and rho = 2.44 × \(10^{-4\) Ω⋅m.

One application that utilizes the unique properties of nanomaterials is targeted drug delivery systems. In this application, nanomaterials, such as nanoparticles, play a crucial role. These nanoparticles can be functionalized to carry drugs or therapeutic agents to specific locations in the body. The small size of nanomaterials allows them to navigate through the body's biological barriers, such as cell membranes or the blood-brain barrier, with relative ease.

The particular property of nanomaterials that makes them suitable for targeted drug delivery is their large surface-to-volume ratio. Nanoparticles have a significantly larger surface area compared to their volume, enabling them to carry a higher payload of drugs. Additionally, the surface of nanomaterials can be modified with ligands or targeting moieties that specifically bind to receptors or biomarkers present at the target site.

By utilizing nanomaterials in targeted drug delivery, it is possible to enhance the therapeutic efficacy while minimizing side effects. The precise delivery of drugs to the desired site can reduce the required dosage and improve the bioavailability of the drug. Moreover, nanomaterials can protect the drugs from degradation and clearance, ensuring their sustained release at the target location. Overall, the unique properties of nanomaterials, particularly their high surface-to-volume ratio, enable efficient and targeted drug delivery systems that hold great promise in the field of medicine.

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Answer:

\((1)\ [12]x^2 [-][37]x - 30 = (3x + 2)(4x - 15)\)

\((2)\ x^2\ [\ -]\ 169 = (x \[+ ]\ 13){x\ [- ]\ [13 ])\)

\((3)\ x^2 [-]\ [9]x + 20 = (x\ [-] 5)(x- [4])\)

\((4)\ x^2 + [11]x + 28 = (x + 7)(x + [4])\)

\((5)\ x^2 + [5]x - 24 = (x\ [-]\ [3])(x\ [+]\ [8])\)

Step-by-step explanation:

Given

See attachment for complete question

Required

Complete the boxes

Solving (1):

\([ \ ]x^2 [ \ ] [\ ]x - 30 = (3x + 2)(4x - 15)\)

Swap the equation

\((3x + 2)(4x - 15) = [ \ ]x^2 [ \ ] [\ ]x - 30\)

Open bracket

\(12x^2 -45x + 8x - 30 = [ \ ]x^2 [ \ ] [\ ]x - 30\)

Simplify the like terms

\(12x^2 -37x - 30 = [ \ ]x^2 [ \ ] [\ ]x - 30\)

So, we have:

\([12]x^2 [-][37]x - 30 = [ \ ]x^2 [ \ ] [\ ]x - 30\)

i.e.

\([12]x^2 [-][37]x - 30 = (3x + 2)(4x - 15)\)

Solving (2):

\(x^2\ [\ ]\ 169 = (x \ [\ ]\ 13)(x\ [\ ]\ [\ ])\)

The above expression illustrates the difference of two squares.

So, complete the first equation with minus

\(x^2\ [\ -]\ 169 = (x \ [\ ]\ 13)(x\ [\ ]\ [\ ])\)

Express 169 as 13^2

\(x^2\ [\ -]\ 13^2 = (x \ [\ ]\ 13)(x\ [\ ]\ [\ ])\)

Apply difference of two squares

\((x + 13)(x - 13) = (x \[\ ]\ 13){x\ [\ ]\ [\ ])\)

So, the complete expression is:

\(x^2\ [\ -]\ 169 = (x \[+ ]\ 13){x\ [- ]\ [13 ])\)

Solving (3):

\(x^2 [\ ]\ [\ ]x + 20 = (x \ [\ ]5)(x - [\ ])\)

20 can be expressed as: -5 * -4

So, the expression becomes

\(x^2 [\ ]\ [\ ]x + 20 = (x \ [- ]5)(x - [4 ])\)

Expand

\(x^2 [\ ]\ [\ ]x + 20 = x^2 - 5x - 4x + 20\)

\(x^2 [\ ]\ [\ ]x + 20 = x^2 -9x + 20\)

So, the complete expression is:

\(x^2 [-]\ [9]x + 20 = (x\ [-] 5)(x- [4])\)

Solving (4):

\(x^2 + []x + 28 = (x + 7)(x + [])\)

28 can be expressed as 7 * 4

So, the expression becomes

\(x^2 + []x + 28 = (x + 7)(x + [4])\)

Expand

\(x^2 + []x + 28 = x^2 + 7x + 4x + 28\)

\(x^2 + []x + 28 = x^2 + 11x + 28\)

So, the complete expression is:

\(x^2 + [11]x + 28 = (x + 7)(x + [4])\)

Solving (5):

\(x^2 + []x - 24 = (x\ []\ [])(x\ []\ [])\)

-24 can be expressed as -3 * 8

So, the expression becomes

\(x^2 + []x - 24 = (x\ [-]\ [3])(x\ [+]\ [8])\)

Expand

\(x^2 + []x - 24 = x^2 +8x - 3x - 24\)

\(x^2 + []x - 24 = x^2 +5x - 24\)

So, the complete expression is:

\(x^2 + [5]x - 24 = (x\ [-]\ [3])(x\ [+]\ [8])\)

An equation is formed of two equal expressions. The complete equations are:

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

1. The first equation that is given to us is:

\((?x^2)\ ?\ (?x)-30 = (3x+2)(4x-15)\)

Now, if we simply expand the right-hand side of the equation we will get the equation that is mentioned on the left side of the given equation, therefore,

\((3x+2)(4x-15)\\\\= 12x^2-45x+8x-30\\\\=12x^2-37x-30\)

Thus, the complete equation will be

\(12x^2-37x-30 = (3x+2)(4x-15)\).

2. The second equation that is given to us is,

\(x^2\ ?\ 169 = (x\ ?\ 13)(x\ ?\ ?)\)

Now, if look closely at the equation, and substitute the '-' in the place of '?' the equation we will be in the form of an algebraic equation, therefore, the solution of the equation can be made using the algebraic expression,

\(a^2-b^2 = (a+b)(a-b)\\\\(x^2-13^2) = (x+13)(x-13)\\\\\(x^2-169) = (x+13)(x-13)\)

Thus, the complete equation will be

\((x^2-169) = (x+13)(x-13)\).

3. The third equation that is given to us is,

\(x^2\ ?\ (?x)+20 = (x\ ?\ 5)(x-?)\)

As we can see in the equation, on the left side of the equation the last digit is +20, therefore, the digits on the right side of the equation should be such that their product should be +20, as 5 is already given therefore, the other term should be 4 also, the second term is positive but we need the product to be positive, therefore, the sign of the digit 5 will also be negative.

\(x^2\ ?\ (?x)+20 = (x\ ?\ 5)(x-?)\\\\x^2\ ?\ (?x)+20 = (x- 5)(x-4)\)

Now, if we solve the right side of the equation we will get the left side of the equation,

\((x- 5)(x-4)\\\\= x^2 - 4x-5x +20\\\\=x^2-9x+20\)

Thus, the complete equation is

\(x^2-9x+20=(x-5)(x-4)\).

4. The fourth equation that is given to us is

\(x^2 + ?x + 28 = (x+7)(x+?)\)

As we can see in the equation, on the left side of the equation the last digit is +28, therefore, the digits on the right side of the equation should be such that their product should be +28, as 7 is already given therefore, the other term should be 4. Also, 28 is a positive integer, and 7 is also a positive integer, therefore, the number in the last will be positive as well.

\(x^2 + ?x + 28 = (x+7)(x+4)\)

Now, if we solve the right side of the equation we will get the left side of the equation,

\((x+7)(x+4)\\\\= x^2 + 4x+ 7x + 28\\\\= x^2 + 11x+28\)

Thus, the complete equation is

\(x^2 + 11x + 28 = (x+7)(x+4)\)

5. The fifth equation that is given to us is

\(x^2 + ?x -24=(x\ ?\ ?)(x\ ?\ ?)\)

As we can see in the equation, on the left side of the equation the last digit is -24, therefore, the digits on the right side of the equation should be such that their product should be -24, Since the product is negative, therefore, either one of the digits on the right should be negative as well, but the middle term on the right is positive, therefore, the bigger number will be positive while the smaller ones will be negative.

\(x^2 + ?x -24=(x+8)(x-3)\)

Now, solving the right side of the equation to get the complete left side of the equation we will get,

\((x+8)(x-3)\\\\=x^2 -3x + 8x -24\\\\=x^2 + 5x - 24\)

Thus, the complete equation is

\(x^2 + 5x - 24=(x+8)(x-3)\)

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Answer:

41/35

Step-by-step explanation:

Simplify the following:

4/7 + 3/5

Put 4/7 + 3/5 over the common denominator 35. 4/7 + 3/5 = (5×4)/35 + (7×3)/35:

(5×4)/35 + (7×3)/35

5×4 = 20:

20/35 + (7×3)/35

7×3 = 21:

20/35 + 21/35

20/35 + 21/35 = (20 + 21)/35:

(20 + 21)/35

| 2 | 1

+ | 2 | 0

| 4 | 1:

Answer: 41/35

The predicted probability of scoring 80 or better on the final exam for a student attending all 10 lectures is 97.13%.

The predicted probability of scoring 80 or better on the final exam for a student attending all 10 lectures is 97.13%. This probability is derived from statistical analysis considering the correlation between lecture attendance and exam scores. By attending all lectures, the student receives comprehensive instruction, indicating a high likelihood of success.

The calculated probability implies a 97.13% chance of achieving the desired score. However, it's important to note that this prediction assumes lecture attendance as the sole influencing factor and doesn't account for individual study habits or other variables.

While attending lectures is beneficial, it's also crucial for students to engage in additional studying and practice to optimize their chances of achieving the desired grade.

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Answer:

The difference between the two values is -9

Answer:

no clue

Step-by-step explanation:

Answer:

The product of their ages is 36

The sum of the girls age is 13

two sister=?

13 by 36

26

Answer:

10 days: ofc there is an easier way to do this but i did my own way down below :)

Step-by-step explanation:

in 1 day

cowboys: 300+25 is 325

saints: 700-15=685

in 2 days:

cowboys: 325+25 is 350

saints: 685-15 is 670

in 3 days:

cowboys: 350+25 is 375

saints: 670-15 is 655

in 4 days:

cowboys: 375+25 is 400

saints: 655-15 is 640

in 5 days:

cowboys: 400+25 is 425

saints: 640-15 is 625

in 6 days:

cowboys: 425+25 is 450

saints: 625-15 is 610

in 7 days:

cowboys: 450+25=475

saints: 610-15 is 595

in 8 days:

cowboys: 475+25 is 500

saints: 595-15 is 580

in 9 days:

cowboys: 500+25 is 525

saints: 580-15 is 565

in 10 days:

cowboys: 525+25 is 550

saints: 565-15 is 550

in 10 days, they will have the same number of followers

Answer:

1. A) the data is more spread out

2. C) the data is less spread out

Step-by-step explanation:

1) Standard Deviation is a measure of dispersion, denotes the spread of data around measure of central tendency (usually arithematic mean).

A data set with higher standard deviation implies A) Data is more spread out or scattered, & vice versa less spread for less standard deviation.

2) Interquartile range is also a measure of dispersion, denoting difference between Q1 (25th percentile) & Q3 (75th percentile).

A data set with smaller interquartile range implies C) Data is less spread out, & vice versa more spread for higher interquartile range.

Answer:

π is an irrational number which has value 3.142…and is a never-ending and non-repeating number.

I am going to say no simply bc pi itself can't be multiplied by 0 whatever times 0 going to be 0 and so 0 is rational

The point of diminishing returns for the amount spent on advertising in thousands of dollars is equal to (x, y ) = ( 11, 61702).

Function is equal to,

N(x)= - 6x³ + 198x² +2430x + 19,000

The point of diminishing returns is the value of x.

At which the marginal increase in the number of products sold per unit increase in advertising spending begins to decrease.

Mathematically, this is the point at which the second derivative of the function N(x) equals zero.

The first derivative of N(x) with respect to x is,

⇒N'(x) = -18x² + 396x + 2430

The second derivative of N(x) with respect to x is,

⇒N''(x) = -36x + 396

Setting N''(x) = 0, we have,

⇒-36x + 396 = 0

Solving for x, we get,

⇒x = 11

Substitute the value x =11 in N(x) we get,

N(x) = - 6(11)³ + 198(11)² +2430(11) + 19,000

       = 61702.

Therefore, the point of diminishing returns is (x, y ) = ( 11, 61702) is spent on advertising.

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The numbers that are a distance of 3.2 units from −4 on a number line are -0.8 and -7.2

Number lines are lines containing both positive and negative real numbers.

For us to get the distance of 3.2 units from −4 on a number line, we will add and subtract 3,2 from -4 as shown;

Adding 3.2 to  -4

Addition = -4 + 3.2

Addition = -0.8

Taking the difference between -4 and 3.2

Difference = -4 - 3.2

Difference = -7.2

Hence the numbers that are a distance of 3.2 units from −4 on a number line are -0.8 and -7.2.

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Answer:

GCF 32 and 40

Step-by-step explanation:

GCF of 40 and 32 : 40 mod 32 = 8 , GCF of 32 and 8 : 32 mod 8 = 0

Answer:

The depth of the container is >= 16 cm

Step-by-step explanation: