Find the equation of the straight line passing through the points (–2, 3) and parallel to y=2x-1

Answer:

PR ≈ 62.2

Step-by-step explanation:

We can create a right triangle inside this circle with the following dimensions:

With these dimensions, we can solve for x using the Pythagorean Theorem, where a and b are the legs of a right triangle and c is its hypotenuse.

a² + b² = c²

11² + x² = 33²

x² = 33² - 11²

x² = 968

x = \(\sqrt{968}\)

x ≈ 31.11

We know that x is half the length of PR, so we can double it to solve for PR.

PR = x · 2

PR ≈ 31.11 · 2

PR ≈ 62.2

Answer:

9.5

Step-by-step explanation:

The height of the rectangular container will be 9.47 cm.

Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the cube or Cuboid. For cylinders, we need the radius and the height of the cylinder.

Given that an ice cream company sells their product in a cylindrical container that is 16 cm tall and has a diameter of 14 cm. They are considering switching to a new container that is a rectangular prism whose base is 20 x 13 cm.

The height of the rectangular prism will be calculated as:-

( π / 4 ) X D² X H = L x W x H

( π / 4 ) X  14² X 16 =20 X 13 x H

H = [( π / 4 ) X  14² X 16] / ( 20 x 13)

H = 9.47 cm

Therefore, the height of the rectangular container will be 9.47 cm.

To know more about volume follow

https://brainly.com/question/23935577

#SPJ2

The four adjacent square numbers with a diagonal sum of 45 are 2^2, 3^2, 4^2, and 5^2, which are 4, 9, 16, and 25.

To find the four adjacent square numbers with a diagonal sum of 161, we can start by considering the square numbers. Let's call the four numbers x^2, (x+1)^2, (x+2)^2, and (x+3)^2. The diagonal sum can be expressed as: x^2 + (x+1)^2 + (x+2)^2 + (x+3)^2 = 161. Simplifying the equation: x^2 + (x^2 + 2x + 1) + (x^2 + 4x + 4) + (x^2 + 6x + 9) = 161; 4x^2 + 12x + 14 = 161; 4x^2 + 12x - 147 = 0. Using the quadratic formula, we can solve for x: x = (-12 ± √(12^2 - 44(-147))) / (2*4); x = (-12 ± √(144 + 2352)) / 8; x = (-12 ± √2496) / 8

x = (-12 ± 49.96) / 8.  Solving for x, we have two possible solutions: x = 4 or x ≈ -9.496. Since we are looking for positive square numbers, we can discard the negative solution. Therefore, the four adjacent square numbers with a diagonal sum of 161 are 4^2, 5^2, 6^2, and 7^2, which are 16, 25, 36, and 49.

To find the four adjacent square numbers with a diagonal sum of 45, we can follow the same approach. The equation would be: x^2 + (x+1)^2 + (x+2)^2 + (x+3)^2 = 45. Simplifying this equation and solving for x, we find that x = 2. Therefore, the four adjacent square numbers with a diagonal sum of 45 are 2^2, 3^2, 4^2, and 5^2, which are 4, 9, 16, and 25. To find three adjacent vertical numbers that add up to 156, we need more information about the arrangement of the numbers. Please provide additional details or context about the arrangement of the numbers so that we can solve the problem accurately.

To learn more about diagonal sum click here: brainly.com/question/1400844

#SPJ11

Answer:

Step-by-step explanation:

There are 8 equally likely sandwich options: rye and ham, rye and turkey, white and ham, white and turkey, rye and ham with cheese, rye and turkey with cheese, white and ham with cheese, white and turkey with cheese.

Since each type of sandwich was made in equal number, there are 4 sandwiches with cheese.

Therefore, the chances that Mary will get a sandwich with cheese is 4/8 or 1/2.

Answer: one half

The main purpose of inferential statistics is to estimate a characteristic of a population based on a sample. This means that inferential statistics are used to make generalizations about a population based on the data that has been collected from a sample of that population. Inferential statistics are used in many different fields, including psychology, economics, and healthcare.

One important aspect of inferential statistics is accounting for variability within a population. This involves understanding the different factors that can influence the outcome of a study and accounting for them in the analysis. For example, if a study is looking at the effects of a new medication on a certain condition, it is important to account for variables such as age, gender, and other health conditions that may influence the outcome.

In addition to accounting for variability, inferential statistics can also help to adjust analyses to improve validity. This means that researchers can use inferential statistics to ensure that their results are reliable and accurate. For example, researchers may use statistical tests to determine whether their findings are significant or whether they are likely to be due to chance.

Finally, inferential statistics can also be used to decide whether the standard deviation is skewed by outliers. Outliers are data points that are significantly different from the rest of the data and can have a large impact on the overall results. By using inferential statistics, researchers can determine whether outliers are having a significant impact on the results and adjust their analyses accordingly.

Overall, the main purpose of inferential statistics is to estimate a characteristic of a population based on a sample. By accounting for variability, adjusting analyses, and dealing with outliers, researchers can use inferential statistics to make accurate and reliable conclusions about a population.

Know more about statistics here:

https://brainly.com/question/31538429

#SPJ11

Answer:

16 and 24

Step-by-step explanation:

The largest factor for both numbers have in common is 8, so GCF(16,24) = 8

Answer:

$1605

Step-by-step explanation:

1500 ⋅ 0.07 = 105

Add 105 to 1500

$1605

Hope I helped :)

Please consider Brainliest :)

The angle CAD in the triangle is 17 degrees.

A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

The triangle ABD and ABC are right angle triangle.

Triangle ABC is an isosceles triangle. Therefore, the base angles are equal.

An isosceles triangle is a triangle that has two sides equal to each other and two angles equal to each other.

Therefore,

∠BAC = ∠BCA = 45 degrees

Hence,

∠CAD = 180 - 90 - 28 - 45

∠CAD = 17 degrees

learn more on right triangle here: brainly.com/question/29984805

#SPJ1

Answer:

-9

Step-by-step explanation:

\((-9)^3 = -729\)

\(-9 = \sqrt[3]{-729}\)  (taking cube root on both sides)

Hopefully this answer helped you!!!

Answer:

196π

Step-by-step explanation:

14^2=196

196×π

=196π

Answer:

1. place the circle on -1

2. open circle

3. Left

Step-by-step explanation:

To define a default field value in a form or a database, you can use the attribute "default". When you add the "default" attribute to a field, it will automatically assign the specified value to that field if no other value is provided by the user or system.

This can be particularly useful when designing forms or databases that require certain fields to have a value even when the user does not provide one.
For example, in a web form, you might have a "Country" field that requires users to select their country from a dropdown list. By setting a default value for this field, such as "United States," the system ensures that there is always a value associated with that field even if the user does not make a selection.
Similarly, in a database schema, you might have a "DateCreated" field that automatically assigns the current date and time as the default value. This ensures that the date and time are always recorded for each new entry, even if the user does not manually input a value.
In both cases, the "default" attribute allows you to streamline the data collection process and ensure that your forms and databases maintain consistent and complete data. Using default values can also improve the user experience by reducing the amount of input required, making it easier for users to complete forms and submit their data.

To learn more about the database, refer:-

https://brainly.com/question/30634903

#SPJ11

Answer

C

Area of a circle is pi r to the power of 2.

so the radius is 6

so pi(6)^2= 36pi

Answer:

\(x = \frac{360}{11} \)

\(y = \frac{60}{11} \)

Step-by-step explanation:

Since 6y=x plug 6y in for x on the top equation.

\(2(6y) - y = 60\)

\(12y - y = 60\)

\(11y = 60\)

\(y = \frac{60}{11} \)

Plug y=60/11 into 6y=x

\(6( \frac{60}{11} ) = x\)

\( \frac{360}{11} = x\)

Plug 360/11 into 2x-y=60

\(2( \frac{360}{11} ) - \frac{60}{11} = 60\)

\( \frac{720}{11} - \frac{60}{11} = 60\)

\( \frac{660}{11} = 60\)

The identity is true

Answer:i dunno

Step-by-step explanation:e

Answer:

Answer below in the picture

I hope my answer helps you.

Answer:

7/50

Step-by-step explanation:

Answer:

How much is the cost per pound?

Step-by-step explanation:

Answer:

It depends on the cost per pound.

Step-by-step explanation:

Multiply 0.63 by the cost per pound

If the allele frequency for the recessive single allele that causes a particular rare hair color is 0.02. The frequently we would expect the hair color to be present in humans D. 1 in every 2500 individuals.

Alleles are genes located at the appropriate loci on homologous chromosomes but impact in a different way. For example, the purple flower color gene pairs with the white gene on the homologous pair of chromosomes.

Alleles are Important thing that Mendel noticed in his series of experiments. That matter expressed in the two basic principles of heredity that he had formulated. Both principles is the law of segregation or segregation of seal genes (Mendel's First Law) and the law independent gene clustering or Mendel's Second Law.

There are genes that have more than one alternative allele as at the time pea flower. So at a certain locus it is possible for the emergence of more than just two alleles, so that the locus is said to have several alleles. Phenomenon in the form of existence.

Learn more about alleles at

https://brainly.com/question/2373557

#SPJ4

log (6x) - 3 = -4 => x = 0.167, by properties of logarithm.

Now,

log (6x) - 3 = -4 => log (6x) = -1

Since the base of the logarithm taken generally is 10, raising both the sides by 10:

\(10^{log_{10}(6x)}=10^{-1}\)

=> 6x = \(\frac{1}{10}\)

=> x = \(\frac{1}{60} = 0.167\) (approx.)

Hence, log (6x) - 3 = -4 => x = 0.167, by properties of logarithm.

To learn more about logarithms, refer to the link: brainly.com/question/25710806

#SPJ4

A)The probability of exactly four buses arriving in the next 2 hours is\($P(X=4)=e^{\wedge}(-2)\left(2^{\wedge} 4 / 4 !\right)=0.090$\) ≈ 0.090.

B) The probability of at least two buses arriving in the next 2 hours is =0.865

C)  The probability of no buses arriving in the next 2 hours is =0.135

d) The probability that it will be between 30 and 90 minutes before the next bus arrives is ,0.185

a) Let \($X$\) be the number of buses that arrive in a 2-hour period. Since the time between arrivals of buses follows an exponential distribution with a mean of 60 minutes, the arrival rate λ is given by\($\lambda=1 / 60$\) 0 buses per minute.

Therefore, the number of buses that arrive in a 2-hour period is a Poisson distribution with parameter \(\mu=\lambda t=(1 / 60) \times 120=2$.\). Thus, X has a Poisson distribution with parameter μ = 2.

The probability of exactly four buses arriving in the next 2 hours is\($P(X=4)=e^{\wedge}(-2)\left(2^{\wedge} 4 / 4 !\right)=0.090$\) ≈ 0.090.

b) The probability of at least two buses arriving in the next 2 hours is

\($P(X \geq 2)=1-P(X=0)-P(X=1)=1-e^{\wedge}(-2)\left(2^{\wedge} 0 / 0 !\right)-e^{\wedge}(-2)\left(2^{\wedge} 1 / 1 !\right)=0.865$.\)

c) The probability of no buses arriving in the next 2 hours is

\(P(X=0)=$ $e^{\wedge}(-2)\left(2^{\wedge} 0 / 0 !\right)=0.135$\)

d) Let Y be the time between the first and second bus arrivals. Then Y follows an exponential distribution with a mean of 60 minutes. We want to find the probability that \($30 \leq Y \leq 90$\).

This is equivalent to finding \(P(Y \leq$ $90)-P(Y \leq 30)$,\), which is equal to F(90) - F(30), where F is the cumulative distribution function of the exponential distribution with \($\lambda=1 / 60$\)

Therefore, the probability that it will be between 30 and 90 minutes before the next bus arrives is\(F(90)-F(30)=\left(1-e^{\wedge}(-90 / 60)\right)-(1$ $\left.e^{\wedge}(-30 / 60)\right)=e^{\wedge}(-1.5)-e^{\wedge}(-0.5)=0.185$\)

Learn more about probability

https://brainly.com/question/30034780

#SPJ4

If \(MU_{x}/P_{x}\)=30 and \(MU_{y} /P_{y}\)=40 then the consumer should buy the commodity y to maximise utility.

Given that \(MU_{x}/P_{x}\)=30 and \(MU_{y} /P_{y}\)=40 of commodities x and y.

Marginal utility is the additional utility that a consumer gets from consuming additional units of commodity. For maximising the utility of the consumer,the ratio of marginal utilities must be equal to the ratio of the products.

There can be two situations in our case:

Because \(MU_{x}/P_{x}\)<\(MU_{y} /P_{y}\)

So to equalise the ratio we need to reduce \(MU_{y} /P_{y}\). To reduce the utility of y the consumer needs to increase the consumption of y because as the consumption of commodity y increase it decreases the utility of commodity y.

Hence if \(MU_{x}/P_{x}\)=30 and \(MU_{y} /P_{y}\)=40 then the consumer should buy the commodity y to maximise utility.

Learn more about utility at https://brainly.com/question/24922430

#SPJ4

Required value of s(4), s(7), s(5), s(9) are V(4) + C, V(7) + C, V(5) + C, V(9) + C respectively where c is the constant.

To determine the values of s(t) at different time points, we need to integrate the velocity function v(t) with respect to time. Based on the values you provided, it seems like you have already performed the integration correctly. However, since the values you provided are the definite integrals, we need to find the antiderivative or the indefinite integral of the velocity function to determine s(t) explicitly.

Let's assume the indefinite integral of v(t) is V(t). Then, we have:

s(t) = V(t) + C

where C is the constant of integration. To determine the constant C, we can use the initial condition s(0) = -3. Substituting t = 0 into the equation, we get:

s(0) = V(0) + C

-3 = V(0) + C

Since the constant of integration is the only unknown term, we can solve for C:

C = -3 - V(0)

Now, we can find the position function s(t) for different values of t using the indefinite integral and the constant C:

s(4) = V(4) + C

s(7) = V(7) + C

s(5) = V(5) + C

s(9) = V(9) + C

Learn more about integral here,

https://brainly.com/question/31497840

#SPJ4

A binary tree is a structure in which each node is capable of having two successor nodes, called "left child" and "right child."

In a binary tree, each node can have at most two successor nodes, known as the left child and the right child. These successor nodes branch out from the parent node, forming two distinct paths or branches. The left child represents the left branch, and the right child represents the right branch. This hierarchical structure allows for efficient organization and traversal of data, as each node can connect to two other nodes, creating a branching pattern throughout the tree. The concept of left and right children enables various operations and algorithms to be performed on the binary tree, such as insertion, deletion, searching, and sorting.

To know more about binary tree,

https://brainly.com/question/33461694

#SPJ11

Answer:

77°

Step-by-step explanation:

Complementary angles are either of two angles whose sum is 90°.

With this in mind, 90 - 23 = 67

Therefore the complementary angle is 67°

Answer:

55.9%

Step-by-step explanation:

To find the percentage of girls in the class, we can use the following formula:

Percentage = (Number of girls / Total number of students) * 100

Number of girls = 19

Total number of students = 34

Percentage = (19 / 34) * 100

                   = 55.88235 % ≈ 55.9 % ( rounded off to one decimal place)

Answer:

Step-by-step explanation:

There are 3 angles:

There is 1 missing angle:

Subtract 180°:

Missing angle found!

Missing angle: