How many breaks to you THINK it will take to break the bar into these 16 pieces?

Answer:

  at x=0 (the origin)

Step-by-step explanation:

The equation for a proportional relationship is ...

  y = kx

The equation of a straight line is ...

  y = kx +b . . . . . for some y-intercept b

Comparing the proportional relation to the relation for a general line, we see that b=0 in the proportional relation. That is, the y-intercept is at y=0, the origin of the Cartesian coordinate plane.

The graph crosses the x-axis at (0, 0), or x=0.

__

Additional comment

In y=kx, the value k is called "the constant of proportionality." It is also the slope of the line on a graph.

In the usual representation of the slope-intercept equation of a line, y=mx+b, the slope of the line is represented by 'm'. In the above, we used 'k' for that purpose, to facilitate comparing the equations.

Answer:

72 campers participated this year

Step-by-step explanation:

Percentages

To determine x% of y, we must calculate x*y/100.

The number of campers that participated in Big Lake Camp during its first year was 40. We now want to know the number of campers that participated this year, if the attendance was 180% of the first year's.

The new attendance is calculated as follows:

40 * 180 / 100 = 72

72 campers participated this year

Answer:

72

Step-by-step explanation:

Answer:

The number is 39

Step-by-step explanation:

Let the number at the tens place be x and the number at ones place be y.

Hence, The number is 10x + y.

From the question, the digit at ones place (y) is three times the digit at tens place (x). That is, y is three times x. This means

y = 3x ...... (1)

Also, When 54 is added to the number, its digits are reversed (That is, the resulting number would be 10y + x). This means

10x + y + 54 = 10y + x ...... (2)

Put the value of y = 3x from equation (1) into equation (2) to solve for x

Then,

10x + y + 54 = 10y + x

10x + 3x + 54 = 10(3x) + x

13x + 54 = 30x + x

13x + 54 = 31x

31x - 13x = 54

18x = 54

x = 54/18

x = 3.

Now, Put the value of x = 3 into equation (1) to solve for y

y = 3x

y = 3(3)

y = 9.

Hence, x = 3 and y = 9.

Since the number is 10x + y

Substitute the values of x and y.

Then,

10x + y = 10(3) + 9

=30 + 9

= 39

Hence, the number is 39.

i) Michaelangelo's sells small, medium, large, and jumbo pizzas. - Not nominal data.

Nominal data refers to a type of categorical data where values are assigned to distinct categories or labels without any inherent order or numerical significance. In the given options, both i) and ii) involve categorical information, but only option ii) ("Michaelangelo's most-requested toppings are pepperoni, black olives, and mushrooms") describes nominal data.

In option i), the sizes of pizzas (small, medium, large, and jumbo) can be considered ordinal data as they have a specific order and imply a relative size difference. Ordinal data possesses a sequential arrangement where the categories have a meaningful relationship or hierarchy.

On the other hand, option ii) presents toppings (pepperoni, black olives, and mushrooms) as distinct categories without any inherent order or hierarchy.

Each topping represents a separate label or category, making it an example of nominal data.Therefore, option ii) ("Michaelangelo's most-requested toppings are pepperoni, black olives, and mushrooms") accurately describes nominal data.

Learn more about nominal data

brainly.com/question/31918425

#SPJ11

Given two predictor variables with a correlation of 0.32879, we should expect there to be multicollinearity between them.

In a data set with a, b, c, d, e, and f numeric variables, given there is a strong correlation of these pairs (f, a), (f, c), (d, e), (a, d), we can set up a regression model as

Of-a + c Of-a + b + c + d + e Of-a + C + d + e Of-a + C + e.

Given two predictor variables with a correlation of 0.32879, we should expect there is multicollinearity between them.

The statement that is true regarding the given two predictor variables with a correlation of 0.32879 is:

we should expect there to be multicollinearity between them.

Multicollinearity is a situation in which two or more predictor variables in a multiple regression model are highly correlated with one another. Multicollinearity complicates the understanding of which predictor variables are significant in the regression model's estimation.

Therefore, given two predictor variables with a correlation of 0.32879, we should expect there to be multicollinearity between them.

To know more about  multicollinearity visit:

https://brainly.in/question/7285022

#SPJ11

Answer:

C

Step-by-step explanation:

3^2 + 5^2 = x^2

9 + 25 = x^2

x^2 = 34

x = sqrt(34)

so the answer is C

The union of the two events (oil industry investment is successful and municipal bond investment is successful) contains three sample points: (Oil Industry investment is successful, Municipal Bond investment is successful), (Oil Industry investment is unsuccessful, Municipal Bond investment is successful), (Oil Industry investment is successful, Municipal Bond investment is unsuccessful).

a. There are four sample points for this experiment: (oil industry investment is successful, municipal bond investment is successful), (oil industry investment is unsuccessful, municipal bond investment is successful), (oil industry investment is successful, municipal bond investment is unsuccessful), (oil industry investment is unsuccessful, municipal bond investment is unsuccessful).

b. The tree diagram for this experiment is shown below:

    Investment

       |

       |

   --------------

   |            |

Oil Industry    Municipal Bond

Sample Points:

• (Oil Industry investment is successful, Municipal Bond investment is successful)

• (Oil Industry investment is unsuccessful, Municipal Bond investment is successful)

• (Oil Industry investment is successful, Municipal Bond investment is unsuccessful)

• (Oil Industry investment is unsuccessful, Municipal Bond investment is unsuccessful)

c. The sample points in o (oil industry investment is successful) are:

• (Oil Industry investment is successful, Municipal Bond investment is successful)

• (Oil Industry investment is successful, Municipal Bond investment is unsuccessful)

The sample points in M (municipal bond investment is successful) are:

• (Oil Industry investment is successful, Municipal Bond investment is successful)

• (Oil Industry investment is unsuccessful, Municipal Bond investment is successful)

d. The sample points in the union of the events (o ∪ M ) are:

• (Oil Industry investment is successful, Municipal Bond investment is successful)

• (Oil Industry investment is unsuccessful, Municipal Bond investment is successful)

• (Oil Industry investment is successful, Municipal Bond investment is unsuccessful)

The union of the events can be expressed mathematically as:

o ∪ M = {(Oil Industry investment is successful, Municipal Bond investment is successful), (Oil Industry investment is unsuccessful, Municipal Bond investment is successful), (Oil Industry investment is successful, Municipal Bond investment is unsuccessful)}

To calculate the union of the two events, we can use the formula for the union of two sets:

A ∪ B = {x | x ∈ A ∨ x ∈ B}

In this case, A = o and B = M, so the union of the two events can be expressed as:

o ∪ M = {x | x ∈ o ∨ x ∈ M}

= {(Oil Industry investment is successful, Municipal Bond investment is successful), (Oil Industry investment is unsuccessful, Municipal Bond investment is successful), (Oil Industry investment is successful, Municipal Bond investment is unsuccessful)}

Learn more about union of the two events here:

https://brainly.com/question/16629677

#SPJ4

1/16 is the ratio of a blue and unbarred parrot as offspring

Dihybrid cross is a cross between two individuals with two observed traits that are controlled by two distinct genes. The idea of a dihybrid cross came from Gregor Mendel when he observed pea plants that were either yellow or green and either round or wrinkled. Crossing of two heterozygous individuals will result in predictable ratios for both genotype and phenotype in the offspring. The expected phenotypic ratio of crossing heterozygous parents would be  Deviations from these expected ratios may indicate that the two traits are linked or that one or both traits has a non-Mendelian mode of inheritance.

When two heterozygous parents for color (Gg) and barring (Bb) are crossed, each parent's genotype is GgBb. Each parent produces four gametes, such as GB, Gb, gB, and gb. As a result, the total number of offspring will be 16, as each parent produces four gametes. Nine will be G B_, three will be G bb, three will be ggB_, and one will be ggbb.

Therefore, 1/16 is the ratio of a blue and unbarred parrot as offspring

To learn more about heterozygous:

https://brainly.com/question/29327683

#SPJ4

Answer: -11

Step-by-step explanation:

Use slope formula:

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

m=(6-5)/(9-8)

m=1/1

m=1

y=mx+b

y=x+b

-3=0x+b

-3=0+b

b=-3

y=x-3

y=-8-3

y=-11

Answer:

It depends on which shape you are trying to make.

The scale factor for the model of the elephant is 1 : 30 (option A).

A scale drawing is either a smaller or a larger version of an original image. For example, a map is a smaller version of a city, country or area.

A scale factor provides information on the relationship that exists between the scale drawing and the actual image. The scale factor shows the rate of reduction or enlargement of the original image.

Scale factor = actual length of the elephant / length of the elephant in the model

216 / 7.2 = 30

The scale factor is 1 : 30

Please find attached the complete question. To learn more about scale drawings, please check: https://brainly.com/question/26388230

#SPJ1

If a case-control study were conducted to investigate the relationship between an exposure and a rare disease like neck cancer, the most likely relative measure that would be estimated is the odds ratio.

This is because the prevalence of neck cancer in the general population is low, which means that the incidence rate is also low. As a result, it is difficult to calculate the relative risk directly in a case-control study. Instead, the odds ratio is used as a measure of association between the exposure and the disease outcome.

The odds ratio is calculated by comparing the odds of exposure in cases to the odds of exposure in controls. The odds ratio can provide an estimate of the strength and direction of the association between the exposure and the disease outcome in the population being studied.

Learn more about case-control visit: brainly.com/question/5974487

#SPJ4

Answer:

$9.60

Step-by-step explanation:

The question above is a simple interest question.

The formula for the amount of money after a given period of time using simple interest is given as:

A = P(1 + rt)

Where

P = Initial Amount saved or invested = $8

R = Interest rate = 5%

t = Time in years = 4

Calculation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year.

Solving our equation:

A = 8(1 + (0.05 × 4)) = 9.6

A = $9.60

The amount of money that will be in a bank account after 4 years is $9.60

\( \frac{19}{6} \pi \times \frac{360}{75} = \frac{19}{6} \pi \times \frac{24}{5} = \frac{76}{5} \pi\)

\( {x}^{2} \times \pi = \frac{76}{5} \pi\)

\(x = \frac{2 \sqrt{95} }{5} = 3.9\)

Answer:

$7,305.50

Step-by-step explanation:

The computation of the FICA tax pay in 2005 is shown below:

Medicare = 1.45% × $119,000 = $1,722.50

And, Social security tax = 6.2% × 90,000  = $5,580

So, the FICA tax in 2005 is

= Medicare tax + Social security tax

= $1,722.50 + $5,580

= $7,305.50

Check the picture below.

If a lab class conducts a 1000 trial scattering probability experiment. nine marbles were used on a 47.20 cm wide board. The number of hits recorded were 615, the diameter of the marbles is approximately 4.1 cm.

Assuming that the experiment was conducted with the same conditions (e.g. speed, direction) for each trial, we can estimate the diameter of the marbles using the scattering probability and the size of the target area.

The scattering probability is the ratio of the number of hits to the total number of trials. In this case, the scattering probability is:

P = 615/1000 = 0.615

This means that, on average, 61.5% of the marbles that were aimed at the board hit one of the target marbles.

The target area is the area of the board divided by the number of targets. The area of the board is the product of its width and height, which we don't know. However, we can assume that the height of the board is much larger than the diameter of the marbles, so that the height does not significantly affect the scattering probability.

Therefore, we can estimate the target area by dividing the width of the board by the number of targets:

A = 47.20 cm / 9 = 5.2444 cm^2

The target area is the area of one target marble, assuming they are all the same size. The area of a circle is given by:

A = π (d/2)^2

where d is the diameter of the circle.

Solving for d, we get:

d = √(4A/π) = √(4 × 5.2444 cm^2 / π) ≈ 4.1 cm

To learn more about area click on,

https://brainly.com/question/24577697

#SPJ4

Answer:

Their expenses and sales will both equal at 200 ounces.

Step-by-step explanation:

This can be determined using the break-even point in ounce formula as follows:

Break even point in ounce = Fixed cost / Contribution per ounce

Where;

Fixed cost = Advertising = $600

Contribution per ounce = Selling price per ounce - Cost per ounce = $4 - $1 = $3

Substituting the values into equation (1), we have:

Break even point in ounce = $600 / $3 = 200 ounces

Therefore, their expenses and sales will both equal at 200 ounces.

Answer:

=−7p−23

Step-by-step explanation:

Answer:

-23 - 7 p

Step-by-step explanation:

Hope it helps!

Answer:

40%.

Step-by-step explanation:

There are 6 / 15 apples out of the bowl.

6/15 = 2/5 = 0.4

So, 40% of the fruit in the bowl are apples.

Hope this helps!

The calculated value of the composite function is (f * g)(x) = sin(x)cos(x)

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

f(x) = sin(x) and g(x) = cos(x)

The composite function (f * g)(x) is calculated as

(f * g)(x) = f(x) * g(x)

So, we have

(f * g)(x) = sin(x) * cos(x)

Evaluate the products

(f * g)(x) = sin(x)cos(x)

Hence, the solution is (f * g)(x) = sin(x)cos(x)

Read more about composite function at

https://brainly.com/question/33401202

#SPJ4

Question

Let f(x) = sin(x) and g(x) = cos(x)

Find (f * g) directly using the definition of convolution:

\(f * g(x) = \frac{1}{2 \pi} \int_{-\pi}^{\pi} f(x-y) g(y) d y \]\)

Answer: Let's start by setting up the system of inequalities:

x + y ≥ 18 (Enola has at least 18 coins)

0.25x + 0.10y ≤ 3.60 (The total value of her coins is at most $3.60)

To graph this system of inequalities, we can start by graphing the line x + y = 18 (the boundary for the first inequality). This line represents all the possible combinations of x and y that would give Enola exactly 18 coins. To graph this line, we can plot two points on it and connect them with a straight line. For example, if x = 0, then y = 18, and if y = 0, then x = 18. So the line passes through the points (0, 18) and (18, 0).

Next, we need to shade the region that satisfies the second inequality. To do this, we can rearrange the inequality to get:

y ≤ (3.60 - 0.25x) / 0.10

This inequality represents all the possible combinations of x and y that would give Enola a total value of coins at most $3.60. We can graph this inequality by shading the region below the line y = (3.60 - 0.25x) / 0.10.

Putting both of these graphs together, we get:

Graph of system of inequalities

One possible solution to this system of inequalities is (x, y) = (10, 8). This corresponds to Enola having 10 quarters and 8 dimes, for a total of 18 coins. The total value of her coins is:

0.25(10) + 0.10(8) = 2.50 + 0.80 = 3.30

Since 3.30 is at most $3.60, this solution satisfies both inequalities. Note that there may be other possible solutions as well.

Step-by-step explanation:

The system of inequalities is solved by plotting the inequalities in the xy-plane and finding the overlapping region. One possible solution for the number of quarters (x) and dimes (y) Enola could have that meets the conditions is x = 8 and y = 10.

The subject of this question is inequalities. Enola has x quarters and y dimes. Each quarter is worth $0.25 and each dime is worth $0.10. Therefore, the total amount of money she has is $0.25x + $0.10y. Since she has at least 18 coins, we have the inequality x + y >=18. Since the total money is at most $3.60, we have the inequality $0.25x + $0.10y <= 3.60. Because we are dealing with a whole number of coins, x and y should be integers. The solution of this system of inequalities can be found graphically by plotting these inequalities in the xy-plane and finding the overlapping region. One possible solution is x = 8 and y = 10.

https://brainly.com/question/17086266

#SPJ2

Answer:

∣x + 7.5∣ = 2.5

Step-by-step explanation:

∣x + 7.5∣ = 2.5

x + 7.5 = -2.5  OR  x + 7.5 = 2.5

   -7.5      -7.5             -7.5     -7.5

--------------------        ----------------------

x = -10                         x = -5

As you can see, the equation ∣x + 7.5∣ = 2.5, satisfies both of the x values, x=-10 and x=-5.

The absolute value equation that has solutions x= -10 and x = -5 is             | x + 7.5 | = 2.5.

Absolute value function is always positive |x| = a implies  x = a Or - x = - a

According to the given question we have to write a equation we have to write an absolute value equation that has solution x = -10 and x = - 5.

Let the absolute value be ∣x + 7.5∣ = 2.5.

∴ x + 7.5 = 2.5 OR - ( x + 7.5 ) = 2.5

x + 7.5 = 2.5

x = 2.5 - 7.5

x = - 5.

OR

- ( x + 7.5 ) = 2.5

- x - 7.5 = 2.5

- x = 2.5 + 7.5

- x = 10

x = - 10.

learn more about absolute value here :

https://brainly.com/question/1301718

#SPJ2

360 - 120 = 240

240 / 21 = 11.4

11.4cm

The location of point P under the translation is (2, 4)

Translation is the process of reworking text from one language into another to maintain the original message and communication. But, like everything else, there are different methods of translation, and they vary in form and function.

here, we have,

to identify the location of point P under the translation:

The complete question is added as an attachment

The location of point P is

P = (-1, 3)

The translation is given as:

(x+3, y+1)

So, we have

P' =(-1 + 3, 3 + 1)

Evaluate

P' = (2, 4)

Hence, the location of point P under the translation is (2, 4)

Read more about translation at

brainly.com/question/26238840

#SPJ2

Let be "x" and "y" the two positive numbers mentioned in the exercise.

You need to remember the following definitions:

- A Difference is the result of a Subtraction.

- A Product is the result of a Multiplication.

In this case, you know that their Difference is 12 and their Product is 693. So you can set up this System of Equations:

You can solve the System of Equation using the Substitution Method:

1. You can solve for the variable "x" from the first equation:

2. Substitute this new equation into the second original equation and simplify:

3. Now you have to solve for "y", in order to find its value:

- Rewrite the equation in this form:

Since it is the variable "y":

Then:

4. Use the Quadratic Formula to find the values of "y". The formula would be:

In this case:

Then, substituting values and evaluating, you get:

5. Since the numbers mentioned in the exercise are both positive, you must choose only the positive values. Therefore:

6. To find the value of "x", you have to substitute the value of "y" into the equation

Then:

7. Finally, you have to solve the Addition:

The answer is:

Answer:

\(C=31.42\)

\(A=78.55\)

Step-by-step explanation:

\(C=2\pi r\)

\(C=2 \times 3.142 \times 5\)

\(C=31.42\)

\(A=\pi r^{2}\)

\(A=3.142 \times 5^{2}\)

\(A=3.142 \times 25\)

\(A=78.55\)

Answer:

1)  if Line AB is parallel to line CD then value of a is: a=3

2) if Line AB is perpendicular to line CD then value of a is: a=1

Step-by-step explanation:

We are given A(3,5), B(7, 10), C(0, 2), and D(1, a) we need to find value of a for which:

We can use slope formula: \(Slope=\frac{y_2-y_1}{x_2-x_1}\) to find value of a according to conditions given.

We are given:

\(x_1=3, y_1=5, x_2=7, y_2=10 \ for \ line \ AB \ and \\\x_1=0, y_1=2, x_2=1, y_2=a \ for \ line \ CD \\)

a) Line AB is parallel to line CD.

When 2 lines are parallel there slope is same so, using this we can find value of a

\(Slope \ of \ line \ AB = Slope \ of \ line \ CD\)

\(\frac{y_2-y_1}{x_2-x_1}= \frac{y_2-y_1}{x_2-x_1}\\\frac{10-5}{7-3}=\frac{a-2}{1-0} \\\frac{5}{5}=\frac{a-2}{1}\\1=a-2\\a=1+2\\a=3\)

So, if Line AB is parallel to line CD then value of a is: a=3

b) Line AB is perpendicular to line CD.

When 2 lines are perpendicular there slopes are opposite of each other so, using this we can find value of a

\(Slope \ of \ line \ AB =-\frac{1}{Slope \ of \ line \ CD}\)

\(\frac{y_2-y_1}{x_2-x_1}=-\frac{1}{ \frac{y_2-y_1}{x_2-x_1}} \\\frac{y_2-y_1}{x_2-x_1}=-\frac{x_2-x_1}{y_2-y_1}\\\frac{10-5}{7-3}=-\frac{1-0}{a-2} \\\frac{5}{5}=-\frac{1}{a-2}\\1=-\frac{1}{a-2}\\a-2=-1\\a=-1+2\\a=1\)

So, if Line AB is perpendicular to line CD then value of a is: a=1

Answer:

3,-2

Step-by-step explanation:

set y =0 and solve

(-x-2)(x-3)=0

the values 3, -2 solve the equation and are your x-intercepts

Assuming that h = αβ = ehi, we can express θ in terms of α and β by taking the natural logarithm of both sides of the equation:

ln(h) = ln(αβ) = ln(ehi)

Using the properties of logarithms, we can simplify the right-hand side of the equation:

ln(h) = ln(α) + ln(β) = hi

Now, we can isolate θ on one side of the equation:

θ = ln(h) - ln(α) - ln(β)

Therefore, θ is expressed in terms of α and β as:

θ = ln(h/αβ)

As for the bias(ˆθ), it is the difference between the expected value of the estimator ˆθ and the true value of the parameter θ. In other words, bias(ˆθ) = E(ˆθ) - θ. Without knowing the specific values of α, β, and h, we cannot calculate the bias of the estimator ˆθ.

Learn more about Bias: https://brainly.com/question/4540984

#SPJ11