what is the measure of ABC ?​

Answer: 200 cats in total

Step-by-step explanation:

60 calico cats represents 30% of the total cat population in the shelter.

That means that if we find 30% of the total number of cats, the number we will get is 60.

Assuming the total is x, representing this in equation form makes it:

x * 30% = 60

x = 60 / 30%

x = 200 cats in total

Answer:

y= 4x+1

Step-by-step explanation:

y = mx + b

The b is the y-intercept, so to find it you just need to find where the line is on the y-axis when x is zero

The slope is just rise over run (y2-y1/x2-x1), so the graph in the picture shows us that the line goes up 4 to go over 1. Therefore the slope is 4/1 which is equal to 4.

Your Answer:

50+(0.25 x t)

t = text messages

The best answer regarding the effects of carbon monoxide is option c, CO results in less oxygen loading hemoglobin but unloading is not changed.

Carbon monoxide binds up more tightly to the hemoglobin as compared to the oxygen molecules. This reduces the oxygen-carrying capacity of the blood and results in less oxygen loading onto hemoglobin.

However, once oxygen is already bound to hemoglobin, CO does not significantly affect its release or unloading. Therefore, option c is the most accurate statement among the given choices.

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Step-by-step explanation:

the surface areas are always the sum of the areas of the individual sides and base area.

so, all we need to do here is calculating the areas of triangles, rectangles (actually squares) and a hexagon.

the area of a triangle is

baseline × height / 2

or with Heron's formula when we have all sides

s = (a+b+c)/2

area = sqrt(s×(s-a)×(s-b)×(s-c))

the area of a rectangle is

length × width

for a square that is then

side × side = side²

and the area of a regular hexagon can be created again as sum of multiple sub-shapes. but ultimately it is

3 × sqrt(3) × side² / 2

1.

square base area : 10×10 = 100 cm²

lateral areas :

one triangle is 10×13/2 = 65 cm²

4 triangles are then 4×65 = 260 cm²

total surface area :

100 + 260 = 360 cm²

2a.

3 lateral triangles :

3 × 8×10/2 = 120 units²

base area (Heron's, as all 3 sides are 8 units) :

s = 3×8/2 = 12

area = sqrt(12×4×4×4) = sqrt(3×4×4×4×4) = 16×sqrt(3)

total surface area :

120 + 16×sqrt(3) = 147.7128129... units²

2b.

4 lateral triangles :

4 × 8×10/2 = 160 units²

base area : 8×8 = 64 units²

total surface area :

160 + 64 = 224 units²

2c.

6 lateral triangles :

6 × 8×20/2 = 480 units²

base area :

3×sqrt(3)×8²/2 = 96×sqrt(3)

total surface area :

480 + 96×sqrt(3) = 646.2768775... units²

2d.

base area : 16² = 256 units²

4 lateral triangles. but we need to get their height first.

Pythagoras :

(16/2)² + 24² = height²

8² + 24² = height²

64 + 576 = height²

height² = 640

height = sqrt(640) = sqrt(64×10) = 8×sqrt(10)

4 triangles are

4 × 16×8×sqrt(10)/2 = 256×sqrt(10) units²

total surface area :

256 + 256×sqrt(10) = 256×(1 + sqrt(10) = 1,065.543081... units²

The total product average product and marginal product are important to operate efficiently and maximize profits. Option D is the correct answer.

Being able to calculate the total product, average product, and marginal product is important for businesses to operate efficiently and maximize profits.

The total product is the overall output produced by a business, while the average product is the output per unit of input, and the marginal product is the change in output resulting from a change in input.

These calculations can help businesses optimize their production processes by identifying the most efficient levels of input and output.

By maximizing their output while minimizing their input costs, businesses can increase their profitability and gain a competitive advantage in the market.

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The question is -

Being able to calculate the total product average product and the marginal product is important:

a. for determining demand and supply.

b. when filing taxes.

c. to keep competition in check.

d. to operate efficiently and maximize profits.

Answer:

x = 10

Step-by-step explanation:

The internal segment is a bisector because the two halves of the angle are marked equal.

From that we know that

\(\frac{24-10}{21} = \frac{10}{2x - 5}\\~\\\frac{14}{21} = \frac{10}{2x - 5}\\~\\\frac{2}{3} = \frac{10}{2x - 5}\\~\\\\3\cdot 10 = 2 \cdot (2x - 5)\\15 = 2x - 5\\20 = 2x\\x = 10\)

Answer:

29

Step-by-step explanation:

Let's set up an equation...

25%*116=x

We can first convert 25% to a fraction. We can convert any percentage into a fraction by simply putting the number over 100...

\(\frac{25}{100}*116=x\)

We can simplify 25/100 by dividing the fraction by 25/25. Note we can only do this because 25/25 is equivalent to 1, therefore meaning we are dividing  the fraction by 1.

\(\frac{1}{4}*116=x\\\frac{116}{4}=x\\x=29\)

Answer:

Answer:table B represents the linear equation which is:\(y=-3x+11\)The graph of the linear function is also attached below.Step-by-step explanation:Given the table B values x

Answer:

6 1/3  

Step-by-step explanation:

18 3/4 divided by 3 is 6 1/3

Answer:

loaf 1 costs 5 cents an oz and loaf 2 costs 6 cents a pound so aabrum should but loaf 1

Step-by-step explanation:

The sum of first 100 terms of the series is  0.686 with error less than 0.00005

The given series is

Tₙ = \(\frac{1}{n_3 +1 }\)

Since, \(\frac{1}{n_3 +1 } < \frac{1}{n_3}\)

The given series is convergent by the comparison Test.

The remainder Tₙ for the comparison series ∑ 1/n³ was estimated in this example using the remainder estimate for the Integral Test.

There we found that

\(T_n \leq \int\limits^\infty_n {\frac{1}{x^3} \, dx\)

Solving the integration,

=> \(\int\limits^\infty_n \frac{-1}{2x^2}\, dx\)

=> \(\frac{1}{2n^2}\)

So, \(T_n \leq \frac{1}{2n^2}\)

Therefore , the reminder Rₙ for the given series satisfies

Rₙ ≤ Tₙ ≤ 1/2n²

with n = 100 we have

=> R₁₀₀ ≤ 0.00005

Using a programmable calculator , we find that

\(\sum^\infty_{n=1} \frac{1}{n^3 + 1} = \sum^\infty_{100=1} \frac{1}{n^3 + 1}\)

=>  0.686 (approximately)

with the error less than 0.00005

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So, the volume of the can in cubic centimeters is 61.99 cm^3. If we round to the nearest tenth, the volume of the can is 62 cm^3.

A can of soda can be modeled as a right cylinder, which is a three-dimensional geometric shape with two circular bases that are connected by a curved surface. The volume of a cylinder can be calculated using the formula:

V = πr^2h

Where V is the volume, π is a constant (approximately equal to 3.14), r is the radius of the base and h is the height of the cylinder.

Given that the radius of the can is 2.6 cm and the height is 9.2 cm, we can substitute these values into the formula:

V = π (2.6 cm)^2 (9.2 cm)

To get the area of the base we need to square the radius and multiply by π, and then multiply it by the height to get the volume.

V = π * 6.76 * 9.2 = 61.99 cm^3

So the volume of the can in cubic centimeters is 61.99 cm^3. If we round to the nearest tenth, the volume of the can is 62 cm^3. This means that the can can hold 62 cubic centimeters of liquid.

It's worth noting that this is an approximation and the real value of π is not 3.14. Also, this answer is based on the assumption that the can is a perfect cylinder with no other gaps or spaces.

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Adding a variable may actually decrease the R2 if the variable is not strongly related to the dependent variable or if it is highly correlated with other explanatory variables already included in the model.

6. If two regressions use different sets of observations, then we cannot accurately compare the R2 values between the two models. R2 is a measure of how well the regression model fits the observed data, and if the data sets are different, then the R2 values cannot be compared.
7. Economic time series are outcomes of random variables, which means that they are subject to variability and uncertainty. This makes economic modeling challenging, as it requires identifying and accounting for the various factors that influence economic outcomes.
8. The key assumption for the general multiple regression model is that all factors in the unobserved error term be uncorrelated with the explanatory variables. This assumption is necessary to ensure that the regression coefficients are unbiased and accurately estimate the true relationship between the explanatory variables and the dependent variable.
9. An explanatory variable is called exogenous if it is uncorrelated with the error term. This means that the variation in the explanatory variable is not caused by any of the factors included in the error term, and therefore does not affect the accuracy of the regression coefficients.
10. R2 generally increases when an independent variable is added to a multiple regression model, as the model is better able to explain the variation in the dependent variable. However, in some cases, adding a variable may actually decrease the R2 if the variable is not strongly related to the dependent variable or if it is highly correlated with other explanatory variables already included in the model.

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6.Comparing the \(R_2\) values of two different regressions using different sets of observations is not meaningful or valid.

7.The economic time series are not necessarily outcomes of random variables.

8.The key assumption for the general multiple regression model is not that all factors in the unobserved error term be correlated with the explanatory variables.

9.An explanatory variable is called exogenous if it is not correlated with the error term.

10.\(R_2\) does not necessarily decrease when an independent variable is added to a multiple regression model.

What is regression?

Regression refers to a statistical modeling technique used to analyze the relationship between a dependent variable and one or more independent variables. It aims to find the best-fitting mathematical function that describes the relationship between the variables.

6.False. Comparing the \(R_2\) values of two different regressions using different sets of observations is not meaningful or valid.\(R_2\) is a measure of the proportion of the variation in the dependent variable that is explained by the independent variables in a particular regression model. Since the two regressions are based on different sets of observations, the R2 values will be specific to each regression and cannot be directly compared.

7.False. Economic time series are not necessarily outcomes of random variables. Economic time series data can be influenced by a combination of deterministic factors, such as economic policies, trends, and events, as well as random fluctuations. It depends on the specific context and the nature of the economic phenomenon being studied.

8.False. The key assumption for the general multiple regression model is not that all factors in the unobserved error term be correlated with the explanatory variables.The assumption is that the errors or residuals (the unobserved error term) are normally distributed with a mean of zero and constant variance, and they are independent of the explanatory variables.

9.False. An explanatory variable is called exogenous if it is not correlated with the error term. In other words, exogenous variables are independent of the error term in a regression model.

10.False. \(R_2\) does not necessarily decrease when an independent variable is added to a multiple regression model. \(R_2\)can increase, decrease, or remain the same when additional independent variables are included, depending on their relationship with the dependent variable and the existing independent variables in the model. \(R_2\) measures the goodness of fit of the regression model and represents the proportion of the total variation in the dependent variable that is explained by the independent variables.

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66 kilograms = 146 pounds. To convert kilograms to pounds, multiply by 2.20462.

Kilograms and pounds are both units of measurement for weight, but they are used in different parts of the world. Kilograms are commonly used in most countries that follow the metric system, while pounds are used primarily in the United States and other countries that follow the imperial system.

To convert kilograms to pounds, simply multiply the number of kilograms by 2.20462. For example, 66 kilograms multiplied by 2.20462 equals 146 pounds.

It is important to note that the conversion factor 2.20462 is an exact conversion and should not be rounded or modified in any way, as doing so would result in an incorrect conversion.

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Answer:

x-intercept: 15

y-intercept: -6

The slope is positive because 2/5 (the slope) is positive.

Step-by-step explanation:

The x-intercept is where the line crosses the x-axis.

The y-intercept is where the line crosses the y-axis.

No, it doesn't show that single individuals under the age of 25 have more insurance claims than the nationwide percent reported by the big insurance firm.

Hypothesis

Null hypothesis : H0: p = 0.68

Alternative hypothesis : Ha: p > 0.68

A random sample of 53 claims showed that 41 were made by single people under the age of 25.

Thus; p^ = 41/53 = 0.7736

The test statistic is

z = (p^ - p_o)/√(p_o(1 - p_o)/n)

z = (0.7736 - 0.68)/√(0.68(1 - 0.68)/41)

z = 0.0936/0.07285

z = 1.28

The p-value from z-score calculator, using z = 1.28, one tail hypothesis and significance level of 0.05,we have;

P(z > 1.28) = 0.100273

The p-value gotten is greater than the significance value and so we fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim.

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Answer: 40 turn 800 into a percent then turn it to a 5%

Answer:

\(\begin{array}{ccc}cause&accidents&frequency\\pilot\ error&581&0.253\\human\ error&56&0.024\\weather&579&0.252\\mechanical&555&0.242\\sabotage&526&0.229\end{array}\)

Pilot error, better training of pilots may reduce accidents.

Step-by-step explanation:

The total number of crashes is:

\(n = 581+56+579+555+526\\n=2297\ crashes\)

The relative frequency is given by the number of accidents caused by each factor divided by the total number of accidents. The relative frequency distribution is:

\(\begin{array}{ccc}cause&accidents&frequency\\pilot\ error&581&0.253\\human\ error&56&0.024\\weather&579&0.252\\mechanical&555&0.242\\sabotage&526&0.229\end{array}\)

The most serious threat to aviation​ safety is pilot error, a better training of current and future pilots could be a solution to reduce accidents.

Answer:

remaining portion is area= area of rectangle- area of semicircle

= 18*14 - 3.14*7^2

=252-154.86

=199.86cm^2

The formula that would allow the architect to calculate the volume of his second attic space design is  V = 1/3s²b. Option D is correct.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

The formula for the volume of an oblique pyramid is V = 1/3 * base area * height. In this case, the base of the oblique pyramid is the shape of the cross-section, which is a square. So, the formula becomes V = 1/3 * s^2 * height. The given information states that the height is "a", which is the same for both pyramid models.

Therefore, the formula for calculating the volume of the second attic space design becomes V = 1/3 * s² * a.

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Answer:

- 7 / 4

Step-by-step explanation:

( x1, y1 ) = ( 1, 10 )

Here,

x1 = 1

y1 = 10

( x2, y2 ) = ( 5, 3 )

Here,

x2 = 5

y2 = 3

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

Slope = ( 3 - 10 ) / ( 5 - 1 )

Slope = - 7 / 4

Proper fraction = - 7 / 4

Answer:

m = -7/4

Step-by-step explanation:

Given:

(1, 10) and (5, 3)

Slope (m) formula:

m = (y2 - y1)/(x2 - x1)

Given:

y2 = 3

y1 = 10

x2 = 5

x1 = 1

Work:

m = (y2 - y1)/(x2 - x1)

m = (3 - 10)/(5 - 1)

m = (-7)/(4)

m = -7/4

Answer:

52°

Step-by-step explanation:

Since the side 52° is 10 and is congruent to the other side x° (also has 10), we know that the triangle is isosceles and that the 2 angles are congruent (by definition of an isosceles triangle). We could also use Law of Sines and Law of Cosines to prove this.

Answer:

A. 52 degrees

Step-by-step explanation:

Two sides are equal, so the triangle is an isosceles triangle.

Both base angles are equal.

x = 52

To form a triangle, the set of line segments must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, we need to check if the given line segments 8 cm, 4 cm, and 3 cm meet this requirement.

We can start by checking if the sum of the two smaller sides (3 cm and 4 cm) is greater than the largest side (8 cm). 3 cm + 4 cm = 7 cm, which is less than 8 cm. Therefore, these three line segments cannot form a triangle.

In general, for a set of line segments to form a triangle, the largest side must be smaller than the sum of the other two sides. In this case, the line segment of 8 cm is too long compared to the other two sides, which makes it impossible to form a triangle.

In conclusion, there are no line segments that meet the requirements to form a triangle with lengths of 8 cm, 4 cm, and 3 cm.

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Answer:

Thus, train speed = 70 mph while wind speed is. y = 14 mph

Step-by-step explanation:

Let x = speed of the plane in mph.

Let y = speed of wind in mph.

We are told that The trip there was with the wind. It took 4 hours. The trip back was into the wind. The trip back took 6 hours.

Formula for distance is;

Distance = speed × time

Thus;

(x + y)4 = 336

(x + y) = 84 - - - - (1)

Also;

(x - y)6 = 336

Divide both sides by 6

(x - y) = 56 - - - (eq 2)

Add eq 1 and 2 to give;

2x = 84 + 56

2x = 140

x = 140/2

x = 70 mph

Plug in 70 mAh for x in eq 1.

(70 - y) = 56

y = 70 - 56

y = 14 mph

Thus, train speed = 70 mAh while wind speed is. y = 14 mph

Answer:

y=-5,x=2

Step-by-step explanation:

3x+3y=-9________________eqn 1

3x-3y=21________________eqn 2

using elimination method

3x+3y=-9

-

3x-3y=21

subtract equation 2 from equation 1

0+6y=-30

6y=-30

y=-30/6

y=-5

substitute the value of y in equation 1

3x+3y=-9

3x+3(-5)=-9

3x-15=-9

3x=-9+15

3x=6

x=6/3

x=2