A bag contains 150 marbles. Some are blue, and the rest are white. There are 21 blue marbles for every 4 white marbles.

The angles that make right-angles with respect to the tangent and the circle are:

∠ASC,

∠AIC,

∠ICS,

∠APL,

∠SLP.

A straight line that only touches or intersects a circle once is said to be its tangent. Lines that never enter the centre of the circle are known as tangents.

In the given figure,

We can see that SL, PL and IC are tangents to the circle.

And as per tangent rule, the angle created by a perpendicular to the tangent is right-angle.

So, the perpendiculars are AP ⊥ PL, AI ⊥ IC and AS ⊥ SL as all the 3 are radius of the circle. And radius and diameters of a circle are perpendicular to its tangent.

And again, as per the tangent rule we know tangents of a same circle intersect each other at 90°.

So, the angles that will create right-angles are:

∠ASC,

∠AIC,

∠ICS,

∠APL,

∠SLP.

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Answer:

59°

Step-by-step explanation:

Because that triangle measure 90°

19+12=31

31-90°=59°

sorry if it isn't correct that how I learn it qwq

Answer:

  x = 1

Step-by-step explanation:

You want to know the value of x in the trapezoid with adjacent angles (43x+2)° and 135°.

The two marked angles can be considered "consecutive interior angles" where a transversal crosses parallel lines. As such, they are supplementary.

  (43x +2)° +135° = 180°

  43x = 43 . . . . . . . . . . . . . . divide by °, subtract 137

  x = 1 . . . . . . . . . . . . . . . divide by 43

The value of x is 1.

__

Additional comment

Given that the figure is a trapezoid, we have to assume that the top and bottom horizontal lines are the parallel bases.

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Answer: Volume = \(\frac{20\pi }{3}\)

Step-by-step explanation: The washer method is a method to determine volume of a solid formed by revolving a region created by any 2 functions about an axis. The general formula for the method will be

V = \(\pi \int\limits^a_b {(R(x))^{2} - (r(x))^{2}} \, dx\)

For this case, the region generated by the conditions proposed above is shown in the attachment.

Because it is revolting around the y-axis, the formula will be:

\(V=\pi \int\limits^a_b {(R(y))^{2} - (r(y))^{2}} \, dy\)

Since it is given points, first find the function for points (3,2) and (1,0):

m = \(\frac{2-0}{3-1}\) = 1

\(y-y_{0} = m(x-x_{0})\)

y - 0 = 1(x-1)

y = x - 1

As it is rotating around y:

x = y + 1

This is R(y).

r(y) = 1, the lower limit of the region.

The volume will be calculated as:

\(V = \pi \int\limits^2_0 {[(y+1)^{2} - 1^{2}]} \, dy\)

\(V = \pi \int\limits^2_0 {y^{2}+2y+1 - 1} \, dy\)

\(V=\pi \int\limits^2_0 {y^{2}+2y} \, dy\)

\(V=\pi(\frac{y^{3}}{3}+y^{2} )\)

\(V=\pi (\frac{2^{3}}{3}+2^{2} - 0)\)

\(V=\frac{20\pi }{3}\)

The volume of the region bounded by the points is \(\frac{20\pi }{3}\).

Answer:

Use the following Financial Ratios to measure financial performance against standards. In addition, analysts compare these ratios to industry averages (benchmarking), industry standards or rules of thumbs and against internal trends (trends analysis). Furthermore the most useful comparison when performing financial ratio analysis is trend analysis They are derived from thethree following financial

statements:

⚫Balance Sheet

•Income Statement

⚫Statement of Cash Flows

.5 Categories

The five (5) major categori in the financial ratios list include the following:

•Liquidity Ratios

•Activity Ratios

•Debt Ratios

•Profitability Ratios

•Market Ratios

Step-by-step explanation:

Sana makatulong

Ratios dealing with short-term debts are Liquidity Ratios; those gauging efficiency in using assets for sales are Activity Ratios, and those scrutinizing long-term debt handling are Leverage Ratios. Along with the calculations, observations and identification of trends and their driving factors are also necessary.

In finance and business, ratio analysis is a tool used for conducting quantitative analysis on a company's financial statements. It involves the calculation and interpretation of various financial ratios. The following are the answers to the question's blanks:

However, only calculating ratios is not enough; you must also observe and identify trends suggested by the analysis, as well as identify the factors that drive these trends. These additional steps provide context and deeper insights into the company's financial performance.

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Answer:

All you have to do is find out what 7.5 percent of 650 is.

Step-by-step explanation:

The answer would be 48.75 in sales taxes

Step-by-step explanation:

as the velocity is not constant over time, we actually have to integrate v(t) over the interval 0<=t<=5 to get the distance.

v(t) = 60×ln(t + 1)

V(t) = 60 × integral(ln(t + 1)) between 0 and 5.

integral(ln(t + 1)) = (t + 1)ln(t + 1) - t + C

V(t) = 60 × ((t + 1)ln(t + 1) - t + C)

the distance traveled between t = 0 and t = 5 is then

60 × ((5 + 1)ln(5 + 1) - 5 + C) - 60 × ((0 + 1)ln(0 + 1) - 0 + C) =

= 60×(6ln(6) - 5 + C) - 60×(1ln(1) + C) =

= 60×(5.750556815... + C) - 60×C =

= 60×5.750556815... = 345.0334089... ≈ 345 km

The x-coordinates where the graphs of the equations intersect are x = -1 and x = 3

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

y = 2x

y = x² - 3

The x-coordinates where the graphs of the equations intersect is when both equations are equal

So, we have

x² - 3 = 2x

Rewrite the equation as

x² - 2x - 3 = 0

When the equation is factored, we have

(x + 1)(x - 3) = 0

So, we have

x = -1 and x = 3

Hence, the x-coordinates are x = -1 and x = 3

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Question

From least to greatest, What are the x–coordinates of the three points where the graphs of the equations intersect? If approximate, enter values to the hundredths.

y = 2x

y = x² - 3

A common aspect ratio for computer screens is 16:9, which means that for every 16 units of width, there are 9 units of height. This aspect ratio is also used on many televisions and mobile devices.

If a screen has an aspect ratio of 16:9, the width and height will be similar on all screens with this aspect ratio. However, the diagonal measurement will vary depending on the size of the screen.

Congruent screens are two or more screens that have the same dimensions. Two screens are congruent if and only if corresponding sides are equal and corresponding angles are equal. This can be proven using the postulates of congruence, such as the SSS (Side-Side-Side) postulate or the SAS (Side-Angle-Side) postulate.

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Answer:

x = 50

Step-by-step explanation:

x = 180 - 130 = 50

Answer:

x=50

Step-by-step explanation:

Answer:

a²/(b²ce^7)

Step-by-step explanation:

a^2b^-2c^-1 / e^7 =

= a²/(b²ce^7)

Answer:

$46

Step-by-step explanation:

started with 60 and wrote 4 checks, each check is 20 so

20*4=80 in checks

60-80= -20

then took out another 30

-20-30=-50

then added 96 to the account

-50+96= 46

Clay had $46 in his account at the end of last week

Answer:

O is a whole number.

Step-by-step explanation:

Answer:

0 is not a natural number, it is a whole number.

Step-by-step explanation:

Negative numbers, fractions, and decimals are neither natural numbers nor whole numbers. N is closed, associative, and commutative under both addition and multiplication (but not under subtraction and division).

Answer:

\( \sf \: 4 \frac{4}{8} \)

Step-by-step explanation:

Given problem,

\( \sf \rightarrow \: 2 \frac{3}{8} + 2 \frac{1}{8} \)

Let's solve the problem,

\( \sf \rightarrow \: 2 \frac{3}{8} + 2\frac{1}{8} \)

\( \sf \rightarrow \: \frac{19}{8} + \frac{17}{8} \)

\( \sf \rightarrow \: \frac{(19 + 17)}{8} \)

\( \sf \rightarrow \: \frac{36}{8} \)

\( \sf \rightarrow \: 4 \frac{4}{8} \)

Hence, the answer is 4 4/8.

(1) B3 corresponds to the effect of tool model M3 on tool wear, holding all other variables constant.

(2) The difference B4 - B3 represents the effect of tool model M4 on tool wear relative to the effect of tool model M3 on tool wear, holding all other variables constant.

What is indicator variables in regression model?

An fake variable made to represent an attribute with two or more separate categories or levels is known as an indicator variable or a dummy variable. Why is it employed? All independent (X) variables are treated as numbers in regression analysis.

In this tool wear regression model, the variables X2, X3, and X4 are indicator variables that represent the tool model (M2, M3, and M4, respectively). The coefficient B3 corresponds to the effect of tool model M3 on tool wear, holding all other variables constant. The coefficient B4 corresponds to the effect of tool model M4 on tool wear, holding all other variables constant.

The difference B4 - B3 represents the effect of tool model M4 on tool wear relative to the effect of tool model M3 on tool wear, holding all other variables constant. In other words, it represents the change in tool wear that is associated with switching from tool model M3 to tool model M4, while holding the values of all other variables constant.

The overall intercept term B0 represents the expected value of tool wear when all predictor variables are equal to zero. It represents the baseline or reference level of tool wear when the predictor variables are not present or are not influencing the outcome.

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Answer:

The sum will be close to 1/4

Step-by-step explanation:

1/8+1/6 is 7/24, and 1/4th of that is 6/24, so it is very close.

Answer: The sum will be close to 1/4

Step-by-step explanation:

You can start by making the fractions have the same denominator, (8*6) which gets you 48

You then want to use the butterfly method, so 1/8 becomes 6/48 and 1/6 becomes 8/48. You then add these up to 14/48.

12/48 is 1/4, and 14/48 is close to 12/48, thus making the answer the first option.

The equivalent exponential equations are given as follows:

\(2^{4x} = 2^{3(x - 3)}\)

The exponential expression for this problem is defined as follows:

\(2^{4x} = 8^{x - 3}\)

The number eight is the third power of 3, that is:

8 = 2³.

The power of a power rule is used when a single base is elevated to multiple exponents.

Then the simplified expression is obtained keeping the base, while the exponents are multiplied.

Meaning that the equivalent expression on the right side of the equality in this problem is given as follows:

\(8^{x - 3} = (2^3)^{x - 3} = 2^{3(x - 3)}\)

Meaning that the correct option is given by the fourth option.

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Using the t-distribution, as we have the standard deviation for the sample, it is found that the 98% confidence interval for the true mean age of Summer Olympians since the 1980 Olympics is (20.6, 24.8). It means that we are 98% sure that the true age of all Olympians is between these two values.

The confidence interval is:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

In which:

In this problem, with the help of a t-distribution calculator, with a two-tailed significance level of 0.02 and 24 - 1 = 23 degrees of freedom, the parameters are:

\(\overline{x} = 22.7, s = 4.15, n = 24, t = 2.5\)

Then, the interval is:

\(\overline{x} - t\frac{s}{\sqrt{n}} = 22.7 - 2.5\frac{4.15}{\sqrt{24}} = 20.6\)

\(\overline{x} + t\frac{s}{\sqrt{n}} = 22.7 + 2.5\frac{4.15}{\sqrt{24}} = 24.8\)

The 98% confidence interval for the true mean age of Summer Olympians since the 1980 Olympics is (20.6, 24.8). It means that we are 98% sure that the true age of all Olympians is between these two values.

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Answer:

Probability that student will be a girl = 17 / 28

Step-by-step explanation:

Given:

Total number of student = 28 student

Number of boys in the class = 11

Find:

Probability that student will be a girl = ?

Computation:

⇒ Number of girls in class = Total number of student - Number of boys in the class

⇒ Number of girls in class = 28 - 11

⇒ Number of girls in class = 17

⇒ Probability that student will be a girl = Number of girls in class / Total number of student

⇒ Probability that student will be a girl = 17 / 28

Answer:105

Step-by-step explanation:

let the number is x

Then 15% of x = 0.15x = 45 .

x= 45/0.15

x = 300

now 50 % of x = 0.5x =150

x = 150/0.5

x= 300 (crosscheck correct)

now 35% of 300 = 0.35 ×3000

= 105

Answer:

{(2,5),(-8,6), (8,3), (-8,-4)

Step-by-step explanation:

B/C -8 repeats twice in the x-axis which is wrong

The likelihood of the word "BANKRUPT" appearing on the Wheel of Fortune is 1/9 = 11.1%.

The ratio of the number of "1s" to all the other numbers on the spinner determines this probability. The spinner has a total of 8 numbers on it. The spinner has three ones on it. A "1" spinning is 3 out of 8 likely.

Select a direction, get a matrix, locate an eigenvector, normalize it, take its adjoint, multiply by your vector, determine the magnitude of the result, then square that. Finished, that's the likelihood.

Two Bankrupt wedges and one Lose a Turn wedge are also included on the wheel. The contestant's turn is forfeited if they land on either, and the Bankrupt wedge also gets rid of whatever money or rewards they have acquired during the round.

The likelihood of spinning "BANKRUPT" on any given spin of the Wheel of Fortune is 1/9 = 11.1%.

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Answer:

300+ 80+6

Step-by-step explanation:

i think i not sure

Answer:

The cone volume that has a diameter of 20cm and a height of 12cm is 5,026.548246 cm^3 or 5,027 cm^3

Make sure to round your answer to the nearest significant figure that you're asked.

Step-by-step explanation:

The formula for the volume of a cone is (height x π x (diameter / 2)^2)/3, where (diameter / 2) is the radius of the base (d - 2 x r), so another way to write it is (height x π x radius^2) / 3

Answer:

the number of chicken sandwiches = 9

Step-by-step explanation:

let x be the number of chicken sandwiches 

    y be the number of tuna sandwiches

We have to solve this system:

\(\begin{cases}x+y=15&\\ 2.3x+2.4y=35.1&\end{cases}\)

\(\Longleftrightarrow \begin{cases}y=15-x&\\ 2.3x+ 2.4(15-x)=35.1&\end{cases}\)

\(\Longleftrightarrow \begin{cases}y=15-x&\\ 2.3x+ 36 -2.4x=35.1&\end{cases}\)

\(\Longleftrightarrow \begin{cases}y=15-x&\\ -0.1x + 36=35.1&\end{cases}\)

\(\Longleftrightarrow \begin{cases}y=15-x&\\ -0.1x=-0.9&\end{cases}\)

\(\Longleftrightarrow \begin{cases}y=15-x&\\ x = 9&\end{cases}\)

\(\Longleftrightarrow \begin{cases}y=15-9=6&\\ x = 9&\end{cases}\)

Populations with a lower growth rate take a longer time to double because ln(1 + r) <<< ln2 hence the time required increases.

The term exponential growth is defined by the exponential function;

P = Po(1 + r)^t

Where;

P = population at time t

Po = population initially present

r = rate of growth

t = time

If P = 2Po

2Po =  Po(1 + r)^t

2 = (1 + r)^t

ln2 =tln1 + r

t = ln2/ln(1 + r)

Populations with a lower growth rate take a longer time to double because ln(1 + r) <<< ln2 hence the time required increases.

The only way to double the population in one year is to let it increase by 100% such that;

t =ln2/ln (1 + 1)

t =ln2/ln2

t = 1

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Answer:

x = - 1

Step-by-step explanation:

P = \(\frac{x-2}{x+1}\)

the denominator of the rational function cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that x cannot be.

x + 1 = 0 ( subtract 1 from both sides )

x = - 1

P is undefined when x = - 1

Answer:

x-7/ x+7

^ fraction ^

Step-by-step explanation:

Answer:

Hope I helped!~

Step-by-step explanation:

To find the equation of the line, we can use the slope-intercept form of the equation:

y = mx + b

where m is the slope of the line and b is the y-intercept.

Using the two data points given, we can calculate the slope:

m = (11.25 - 8.35) / (1995 - 1993) = 1.95

To find the y-intercept, we can use one of the data points:

8.35 = 1.95(1993) + b

b = -3884.65

So the equation of the line is:

y = 1.95x - 3884.65

To predict the price of a box of two pieces on July 1, 1999, we can substitute x = 6 (since 1999 is 6 years after 1993) into the equation:

y = 1.95(6) - 3884.65

y = 11.7 - 3884.65

y = -3872.95

This gives us a negative price, which obviously does not make sense. It is likely that the price of a box of two pieces was not linearly increasing during this time period, or that there were other factors influencing the price. Therefore, we cannot use this equation to accurately predict the price of a box of two pieces on July 1, 1999.