how would you describe the output of the graph for:
inputs from 0 to 1
inputs from 3 to 4

The equation of the second road is y = -3x + 10

The location of the mail box = (0, 0)

The first road passes through the points (3, 1) and (9,3)

The slope of the line is the change in y coordinate with respect to the change in x coordinate

The slope of the line m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the values in the equation

m = 3-1 / 9-3

m = 2/6

m = 1/3

The next road is 90 degrees to the first road

Then the slope of the second line will be

m1 = -1/m

= -1/(1/3)

= -3

The second road passing through the point (3, 1)

The equation of line

y = mx + b

Substitute the given values in the equation

1 = -3 × 3 + b

1 = -9 + b

b = 1 +9

b = 10

Therefore, the equation will be y = -3x + 10

Learn more about slope of the line here

brainly.com/question/16180119

#SPJ4

The equation x(x - 3m) = -5m² is non-real as the discriminant of the quadratic equation will be negative.

A quadratic equation is modeled by the rule presented as follows:

y = ax² + bx + c

The discriminant of the quadratic function is given as follows:

Δ = b² - 4ac.

The numeric value of the coefficient and the number of solutions of the quadratic equation is defined as follows:

The equation for this problem is defined as follows:

x(x - 3m) = -5m²

x² - 3mx + 5m² = 0.

The parameters are given as follows:

a = 1, b = -3m, c = 5m².

Hence the discriminant is given as follows:

Δ = (-3m)² - 4(1)(5m²)

Δ = 9m² - 20m²

Δ = -11m².

-11m² is always negative, hence the discriminant is negative and the equation is non-real.

More can be learned about quadratic functions at https://brainly.com/question/1214333

#SPJ1

The required mixed number of 26/9 is given as  2 8/9.

A mixed number is a number that consists of a whole number and a proper fraction. It is written in the form "a b/c", where "a" is the whole number, "b" is the numerator of the proper fraction, and "c" is the denominator of the proper fraction.

Here,
To rewrite 26/9 as a mixed number, we need to divide the numerator (26) by the denominator (9) and express the result as a whole number and a proper fraction.

26 ÷ 9 = 2 with a remainder of 8

The whole number part is 2, and the proper fraction part is 8/9, since 8 is the remainder and 9 is the denominator.

Therefore, 26/9 as a mixed number is 2 8/9.

Learn more about mixed numbers here,
https://brainly.com/question/1529017
#SPJ9

If a set of grades have a large range and a small standard deviation, it means that there are few students with high marks and few with low marks. Most students falls in the average region.

Range is the difference between the maximum value and the minimum value. So for the range to be higher, there must be at least one very high grade and at least a very low grade. If the maximum mark scored by the highest scorer is 95 and 10 for the lowest, the range will be 95- 10 = 85.

If one scored 99 and the lowest scorer got 5, then the range is 99-5 = 94. So higher the range means there is great difference between the highest and lowest grade.

Standard deviation means how much the value deviates from average. If it is low, that means most of the students scored near to the average.

So high range and low standard deviation means, there are few high scorers and few low scores. But most students falls in the average category.

For more information regarding standard deviation and range, kindly refer

https://brainly.com/question/27951674

#SPJ4

Answer: it is already factored

Step-by-step explanation:

The degrees of freedom for error in a two-way ANOVA experiment with 3 levels for factor a, 7 levels for factor b, and 100 replications is 2071.

The degrees of freedom (df) for error in a two-way ANOVA experiment depend on the sample size (n) and the number of parameters estimated in the model.

In a two-way ANOVA experiment, we are interested in modeling the response variable as a function of two factors, a and b, and their interaction. The model can be written as follows:

Yij = μ + αi + βj + (αβ)ij + εij

In general, the df for error can be calculated as follows:

df error = n - k

where k is the number of parameters estimated in the model.

In our case, we have 3 levels for factor a, 7 levels for factor b, and 100 replications. Therefore, the total sample size is n = 3 x 7 x 100 = 2100.

To estimate the parameters in the model, we need to calculate the following:

The overall mean μ

The effect of factor a, αi, for i = 1, 2, 3

The effect of factor b, βj, for j = 1, 2, ..., 7

The interaction effect between factors a and b, (αβ)ij, for i = 1, 2, 3 and j = 1, 2, ..., 7

Therefore, the total number of parameters estimated in the model is

=> k = 1 + 3 + 7 + 3 x 7 = 29.

Finally, we can calculate the df for error as:

df error = n - k = 2100 - 29 = 2071.

To know more about degrees of freedom here.

https://brainly.com/question/16254305

#SPJ4

Answer:

Step-by-step explanation:

the answer is 420 cuase the manufatcure of math is hard i wont give an explanation.

To calculate the probability that the first heart it detects with muscle damage is the 8th image geometric distribution should be used.

According to the question medbiz develops and sells medical imaging devices. they are developing a computer program that reads heart images and detects heart muscle damage.

Machine has success rate of 90%

Number of images of hearts with muscle damage = 100

To calculate the probability that the first heart it detects with muscle damage is the 8th image, geometric distribution should be used because  

Geometric distribution is a type of discrete probability distribution that represents the probability of the number of successive failures before a success is obtained in a Bernoulli trial. A Bernoulli trial is an experiment that can have only two possible outcomes, ie., success or failure

To know more about geometric distribution

https://brainly.com/question/14394276

#SPJ4

The question is incomplete, the following question is complete:

MedBiz develops and sells medical imaging devices. They are developing a computer program that reads heart images and detects heart muscle damage. Early studies show the machine has a 90% success rate. The programs is shown 100 images of hearts with muscle damage. What distribution should be used to calculate the probability that the first heart it detects with muscle damage is the 8th image?

binomial distribution

geometric distribution

hypergeometric distribution

none of the other choices

Answer:

Step-by-step explanation:

twelve triangles make 2 hexagons, which means there are 12 groups of in 2

a) Formula that gives the total yearly expense as a linear function of the number of dairy cows is E = 21,000 + 2,000C.

b) Formula that gives I as a linear function of C is I = 7,000C. The smallest number of cows the dairy needs to break even is 5.

(a) Let's call the number of dairy cows "C".

The yearly expense for maintaining the barns and equipment is a fixed cost of $21,000.

The yearly expense for feeding and caring for each dairy cow is $2,000.

To find the total yearly expense, we can add the fixed cost of maintaining the barns and equipment to the variable cost of caring for the cows:

E = 21,000 + 2,000C

This is a linear equation that gives the total yearly expense as a function of the number of dairy cows.

(b) Each dairy cow produces 3,500 gallons of milk per year.

The dairy sells milk for $2.00 per gallon.

To find the yearly income for the dairy, we can multiply the number of gallons of milk produced by the price per gallon:

I = 2.00(3,500)C = 7,000C

This is a linear equation that gives the yearly income as a function of the number of dairy cows.

To determine the smallest number of cows the dairy needs in order to break even, we need to find the point where the yearly income is equal to the yearly expense.

Setting I = E, we get:

7,000C = 21,000 + 2,000C

Simplifying and solving for C, we get:

5,000C = 21,000

C = 4.2

Since we cannot have a fraction of a cow, we round up to the nearest whole number.

To learn more about income click on,

https://brainly.com/question/15525276

#SPJ4

There are 35 ways to choose two toppings for a pizza, one topping from a group of 5 kinds of meats and the other topping from a group of 7 kinds of vegetables.

The multiplication rule of counting in Permutation and Combinations states that if there are n ways to perform one task and m ways to perform a second task, then there are n x m ways to perform both tasks in sequence.

The number of ways to choose a meat topping from 5 kinds of meats = 5.

The number of ways to choose a vegetable topping from 7 kinds of vegetables = 7.

Using the multiplication rule, the number of ways to choose one meat topping and one vegetable topping is = 5 x 7 = 35 ways.

Learn more about multiplication rule of counting from the below link:

https://brainly.com/question/15096318

#SPJ4

The three consecutive odd integers are 47, 49, and 51. The third number is 51, so the answer is (d) 51.


Let's represent the first odd integer as x. Then, the next two consecutive odd integers would be x + 2 and x + 4.

According to the problem, the sum of these three consecutive odd integers is 147:

x + (x + 2) + (x + 4) = 147

We simplify and solve for x, which gives us the value of the first integer.

Simplifying and solving for x, we get:

3x + 6 = 147

3x = 141

x = 47

So the three consecutive odd integers are 47, 49, and 51. The third number is 51, so the answer is (d) 51.

Learn more about integers here: brainly.com/question/15276410

#SPJ4

Answer: 4

Step-by-step explanation:

In similar  triangles, 15.07 miles  is the measure of the missing length h .

What does "similarity" for triangles mean?

Triangles are said to be comparable if two of their angles have measurements that are the same as those of two other triangles' angles. In proportion, and with the same measure, are the equivalent sides and angles of identical polygons.

                            To test whether two triangles are similar, use one of the three triangle similarity theorems, Angle-Angle (AA), Side-Angle-Side (SAS), or Side-Side-Side (SSS).

    35/65 = 28/h

      h = 35 * 28/65

      h = 15.07 miles

Learn more about similarity for triangles

brainly.com/question/14926756

#SPJ1

you forgot to put the question

The correct answer choices for Z and X are $25.08 and $3.72, respectively.

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

How to solve for this

To solve for Z and X simultaneously, you can use the following equation: Z + X = 59.5

You can then compare the four given answer choices for Z and X to determine which ones satisfy the equation.

For example, $1.51 + $22.35 = $23.86, which is not equal to 59.5, so neither of these answer choices is correct.

However, $25.08 + $3.72 = $28.80 which is equal to 59.5, so the correct answer choices for Z and X are $25.08 and $3.72, respectively.

Read more about simultaneous equation here:

https://brainly.com/question/16763389

#SPJ1

Answer: 54

Step-by-step explanation:

Let's call the original number of students in the group "n". Each student contributed $2.50, so the total amount the original group of students collected is $2.50 * n.

When 5 more students join the group, the new total number of students is n + 5, and each student contributes $2.50 - $0.50 = $2.00. So the total amount the new group collects is $2.00 * (n + 5) = $2.00n + $10.

Since the total amount collected remains the same, we can set the two expressions for the total amount equal to each other:

$2.50n = $2.00n + $10

Solving for n, we have:

$0.50n = $10

n = 20

So, there were originally 20 students in the group. To find out how much they plan to spend on the gift, we can multiply the original number of students by the original contribution amount:

$2.50 * 20 = $50.00

Therefore, the students plan to spend $50.00 on the gift.

Answer:

(i) The volume of each hemispherical bowl can be calculated as follows:

Volume of a hemispherical bowl = (2/3) x pi x (d/2)^3, where d is the internal diameter of the bowl.

Substituting d = 21 cm, we get:

Volume of a hemispherical bowl = (2/3) x pi x (21/2)^3 = 4851.97 cubic centimeters

The total volume of compost required to fill all 16 bowls is therefore:

Total volume of compost = 16 x 4851.97 = 77631.52 cubic centimeters

If 1 cm³ of compost weighs 2.31 gm, then the total weight of required compost is:

Total weight of compost = 77631.52 x 2.31 = 179231.83 grams or 179.23 kilograms

Therefore, Mrs. Thapa would need 179.23 kilograms of compost to fill all 16 hemispherical bowls.

(ii) The outer curved surface area of each hemispherical bowl can be calculated as follows:

Outer curved surface area of a hemispherical bowl = 2 x pi x (d/2)^2, where d is the internal diameter of the bowl.

Substituting d = 21 cm, we get:

Outer curved surface area of a hemispherical bowl = 2 x pi x (21/2)^2 = 693.84 square centimeters

The total outer curved surface area of all 16 bowls is therefore:

Total outer curved surface area = 16 x 693.84 = 11101.44 square centimeters

If Mrs. Thapa covers the outer curved surface of each bowl with polythene sheet, then the total amount of polythene required would be equal to the total outer curved surface area of all 16 bowls.

Therefore, the total amount of polythene required would be 11101.44 square centimeters.

Step-by-step explanation:

Answer:

260

Step-by-step explanation:

Substitute: (-2 · 7)² – 2 x (-2)⁵

Remove parenthesis: (2 · 7)² + 2 · 2⁵

Calculate the first two terms: 14ײ + 2 × 2⁵

Calculate the power: 196 + 2 × 32

Calculate the first two terms: 196 + 64

Calculate the first two terms: 260

Answer: 260

The suitcase weighs 2.23 kg, which is less than the 23 kg weight limit, Elisa can take the suitcase on the plane.

To determine if Elisa's suitcase is within the weight limit of 23 kg, we need to convert the weight of the suitcase from pounds to kilograms.

the suitcase weighs 49 pounds the airline only allowed suitcases that way up to 23 km is it correct weight or not

First, we need to convert 10 kg to pounds: 10 kg * (22 pounds / 1 kg) = 220 pounds

Next, we need to convert 49 pounds to kilograms: 49 pounds / (22 pounds / 1 kg) = 2.23 kg.

Since the suitcase weighs 2.23 kg, which is less than the 23 kg weight limit, Elisa can take the suitcase on the plane.

To learn more about weight limit:

https://brainly.com/question/14375094

#SPJ4

The statement that " t-value changes depending on the number of data points collected" is (b) False because t-value is a statistic that is used in hypothesis testing to determine the difference between 2 sample means is significant or not.

The t-value does depend on the sample size (number of data points) as well as the sample mean and standard deviation, but it does not change "depending on" the number of data points in the sense that the same data set will always produce the same t-value for a given statistical test.  

So , it is important to note that the t-value is a fixed value for a given set of data, regardless of the number of data points collected.

Therefore, if the same data set is used to perform a t-test multiple times, the resulting t-value will always be the same.

Learn more about t-Value here

https://brainly.com/question/29844684

#SPJ4

Part (a)

ASA = angle side angle

To use ASA, we need two angles and a side between those angles. We already have one pair of angles (DFE and GHI). The other pair of angles must be DEF and GIH to have the side sandwiched between the angles.

===================================================

Part (b)

HL = hypotenuse leg

The sides EF and IH are congruent to one another because of the tickmarks. They are the legs of each right triangle. So that takes care of the "L" of "HL". We need to have the hypotenuses congruent to each other to be able to use HL. This theorem only applies to right triangles.

The function [tex]f(x) = 4x^3 - 4[/tex] is a polynomial function. It takes an input value x and returns an output value f(x) based on the expression [tex]4x^3 - 4.[/tex]So the value of f(-1/2) is -4.5.

When we evaluate f(-1/2), we substitute -1/2 for x in the expression for f(x). This gives us:

[tex]f(-1/2) = 4(-1/2)^3 - 4[/tex]

The expression inside the parentheses, [tex](-1/2)^3,\\[/tex] is the cube of -1/2. To simplify this expression, we need to first raise -1/2 to the power of 3:

[tex](-1/2)^3 = (-1/2) * (-1/2) * (-1/2) = -1/8[/tex]

Next, we substitute this value back into the expression for f(-1/2):

f(-1/2) = 4(-1/8) - 4

Now we can simplify the expression by multiplying 4 and -1/8:

f(-1/2) = -1/2 - 4

Finally, we subtract 4 from -1/2 to get the final answer:

f(-1/2) = -4.5

So the value of f(-1/2) is -4.5.

To learn more about polynomial function please click on below link.

https://brainly.com/question/25667747

#SPJ4

Given the function f(x) = 4x^3 - 4, find the value of f(- 1/2)?

Rounding to the nearest degree, the angle between the vector i + √5j and the positive direction of the x-axis is approximately 63 degrees.

The angle between a vector and the positive direction of the x-axis can be found using the inverse tangent function, also known as arctan. The formula for finding the angle θ between a vector (x, y) and the positive x-axis is given by:

θ = arctan(y/x)

In this case, the vector is i + √5j, so x = 1 and y = √5. Plugging these values into the formula, we get:

θ = arctan(√5/1) = arctan(√5)

The arctan function returns the angle in radians, so we'll need to convert it to degrees. To do this, we multiply by 180/π:

θ = arctan(√5) * (180/π) = 63.43 degrees (rounded to two decimal places)

So, Rounding to the nearest degree, the angle between the vector i + √5j and the positive direction of the x-axis is approximately 63 degrees.

To learn more about nearest degree please click on below link.

https://brainly.com/question/29127876

#SPJ4

The required value of the x for the missing lengths of the side triangle is given as 28.6 ft.

Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.

here,
As the triangles are similar,
The ratio of corresponding sides is equal,
So
13/5 = x/11
x = 13 × 11 / 5
x = 28.6

Thus, the required value of the x for the missing lengths of the ais given as 28.6 ft.

Learn more about similar triangles here:

brainly.com/question/25882965

#SPJ1

By the property of SAS criterion,

ΔKMN is similar to ΔKJL.

Those triangles look the same but are different in size.

And in similar triangles,

the corresponding sides are proportionate, and the corresponding angles are equal.

Given:

In ΔJKL,

MN is parallel to JL.

That means MN and JL are equally spaced.

So,

JM/MK = LN/NK

∠KMN ≅ ∠KJL {By corresponding angles}

ΔKMN is similar to ΔKJL. {By the SAS criterion}

Therefore, ΔKMN is similar to ΔKJL.

To learn more about similar triangles;

https://brainly.com/question/14926756

#SPJ1

The least common denominator of the number 2, 3, 4, 7 is found to be 42.

Here, the least common denominator of the following numbers is asked,

2, 3, 4, 7

Now, first understand the meaning of least common denominator, it is basically meant that what is that least common value that will divide all of the four above mentioned numbers. So, it is actually ased about the least common multiple (LCM).

We can find the value which will be a multiple of all those numbers,

4 is multiple of 2 but 3 and 7 are not.

6 is a multiple of 2 and 3 but 7 is not.

42 is the number that is multiple of 6 as well as 7 and it also the smallest number doing so.

So, the least common denominator of 2, 3, 4, 7 is 42.

To know more about LCM, visit,

https://brainly.com/question/233244#:~:text=Expert%2DVerified%20Answer&text=The%20LCM%20is%20multiple%20which,the%202%20and%204%20LCM.

#SPJ4

Complete question - What is the least common denominator of 2, 3, 7, 4.

The final result is: 30x^3 - 6x^2 + 15x^2 - 3x + 40x - 8 = 30x^3 + 9x^2 + 40x - 8

The box method, also known as the FOIL method, is a way of multiplying two polynomials by using the distributive property.

Given the expression (5x - 1)(6x^2 + 3x + 8), we can use the box method to multiply the terms as follows:

Therefore., the final result is:

30x^3 - 6x^2 + 15x^2 - 3x + 40x - 8 = 30x^3 + 9x^2 + 40x - 8

Read more about polynomial multiplication here:

https://brainly.com/question/13128694

#SPJ1

The test static is 1.60 and the p-value is 0.1096, null hypothesis is not rejected and the population mean is not significantly  different from $1000.

Assuming normal distribution

N( μ₀ , σ )

In this case N ( 1000, 200)

From a random sample of 64 accounts we get:

n  = 64

x = sample mean      x = 1040

σ = standard deviation of the population     σ = 200

a) Test Hypothesis

Null Hypothesis               H₀          x =  μ₀ = 1000

Alternative Hypothesis    Hₐ          x ≠ μ₀    

The alternative hypothesis implies a two tail-test. Given that  n > 30 and σ is known we will use z-table

b) z(s) = ( x  - μ₀ ) / σ/√n

z(s) = ( 1040 - 1000 ) / 200/ √64

z(s) = 40*8/200

z(s) = 1.60

c) P-value for  z (score 1.6)     p-value = 0.1096

d) If significance level is 0.05  then  α = 0.05  and   α/2 = 0.025

p-value >  α/2        

Then  the z(s) < z(c)      1.6 < 1.96            where  z(c) is z score for α/2

Hence, null hypothesis is not rejected

e) We can claim that at 95 % (of Confidence Interval) the population mean is not significantly  different from $1000.

To know more about p- value

https://brainly.com/question/13930034

#SPJ4

Question is not complete. The complete question is :

A sample of 64 account balances from a credit company showed an average daily balance of $1,040. The standard deviation of the population is known to be $200. We are interested in determining if the mean of all account balances (i.e., population mean) is significantly different from $1,000. 1. State the null and alternative hypothesis. 2. Compute the test statistic. 3. Compute the p-value. 4. Based on the p-value and the significance level of 0.05% make a decision regarding the hypotheses. 5. Interpret your results in the context of the problem.