Three equivalent ratios to 1:3 are...

Group of answer choices

6:2, 15:5, 30:10

2:3, 5:15, 10:30

2:6, 5:15, 10:30

5:15, 10:30, 11: 22
Hurry please! Thanks.

Sarah earns $120 per week from her part-time job. To complete the table, we need to list her expenses.  Sarah's expenses may vary, but here are some common examples she might have:

1. Transportation: Sarah may spend money on bus fare or gas if she drives. This expense depends on her mode of transportation and how far she travels.
2. Food: Sarah needs to eat, so she may spend money on groceries or meals outside. The amount spent on food will depend on her eating habits and whether she eats out frequently or cooks at home.
3. Utilities: Sarah may have to pay for utilities like electricity, water, and internet. The cost of utilities can vary depending on the region and the size of her living space.

4. Rent/ Mortgage: If Sarah lives independently or contributes to household expenses, she may have to pay rent or contribute to a mortgage payment.
5. Entertainment: Sarah may have expenses related to leisure activities such as going to the movies, concerts, or other entertainment events.
These are just a few examples, and Sarah's actual expenses may differ. It's important for her to track her spending to understand where her money goes. By doing so, she can budget effectively and make informed financial decisions.

To know more about  part-time job visit:-

https://brainly.com/question/31927752

#SPJ11

Answer:

nppp

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

diameter is the segment from 1 point on the circle through the centre to the opposite point on the circle.

diameter = BD

The centre is the point equidistant from all points on the circle.

centre = A

the radius is the distance from the centre to a point on the circle.

Here the radius = AB, AC, AD

A square-based box with an open top and volume of 4,000 cm³ has minimum surface area when its dimensions are 10√2 cm by 10√2 cm by 20√2 cm.

Let's assume that the box has a square base with side length x and height h. Then, its volume is given by:

V = x^2 * h

We are given that the volume is 4,000 cm³, so we can write:

x^2 * h = 4,000

Solving for h, we get:

h = 4000 / x^2

The amount of material used to construct the box is the sum of the areas of its five faces (four sides and the base). Since the box has an open top, we don't need to consider its area. The area of the base is x^2, and the area of each side is x times the height h. Thus, the total surface area A of the box is given by:

A = x^2 + 4xh

Substituting the expression we found for h, we get:

A = x^2 + 4x(4000 / x^2)

Simplifying and factoring out 4, we get:

A = 4(x^2 + 1000/x)

To find the dimensions of the box that minimize the amount of material used, we need to find the value of x that minimizes A. We can do this by taking the derivative of A with respect to x and setting it equal to zero:

dA/dx = 8x - 4000/x^2 = 0

Solving for x, we get:

x = 10√2

Substituting this value back into the expression we found for h, we get:

h = 20√2

Therefore, the dimensions of the box (in cm) that minimize the amount of material used are:

side length of the base: 10√2 cm

height: 20√2 cm

To know more about amount of material used:

https://brainly.com/question/29385527

#SPJ4

Answer:

She receives 108.33% ( or $108.33)

Step-by-step explanation:

Tara receives $108.33 because 13/12 into a percentage =108 times 100

which = 108.33.That's all there is to it! Hope you have a great day.

Therefore , the solution of the given problem of area comes out to be   the monomial x⁵ is used to denote the length of a square side.

Calculating how much space would be needed for fully covering its exterior will reveal its overall dimensions. The surrounding environment is considered while selecting a comparable product with a rectangular shape. The surface area of anything determines its overall dimensions. The number of sides connecting a cuboid's four trapezoidal shapes determines how much water it can contain.

Here,

=> A = s², where A is the area and s is the length of a square's side, gives the area of a square.

In this instance, we are informed that the monomial x10 can be used to represent the square's area. We must take the square root of the area to determine the equation for the length of a side:

=> s = √(x¹⁰)

We may condense this expression using the exponentiation properties:

=> s = √(x²)⁵

=> s = x⁵

Consequently, the monomial x⁵ is used to denote the length of a square side.

To know more about area visit:

https://brainly.com/question/2835293

#SPJ9

The average rate of change of the function f(x) = x^2 - 5 for x changing from 15 to 25 is 40.

We must divide the difference in x-values by the difference in function values to determine the average rate of change for the function f(x) = x2 - 5 when x changes from 15 to 25.

Let's break it down step by step:

At x = 15, evaluate the function:

f(15) = (15)2 - 5 = 225 - 5 = 220 At x = 25, evaluate the function:

f(25) = (25)2 - 5 = 625 - 5 = 620 Determine the difference between the values of the function:

Change in f(x) = f(25) - f(15) = 620 - 220 = 400 Find the difference in x-values by doing the following:

Change in x = 25 - 15 = 10 Determine the average change rate as follows:

The average rate of change for x to change from 15 to 25 is 40 because the change in f(x) divided by the change in x is 400 times 10 and the average rate of change is 40.

To know more about Average rate, visit

brainly.com/question/24313700

#SPJ11

The standard error of the sample mean, \(\bar{x}\) , is the standard deviation of the distribution of sample means.

The standard error is a measure of the amount of variability in the mean of a population. It is also defined as the standard deviation of the sampling distribution of the mean. This value is used to create confidence intervals or to test hypotheses. The formula to find the standard error is SE = s/√n, where s is the sample standard deviation and n is the sample size. This estimate shows the degree to which the sample mean is anticipated to vary from the actual population mean.

Learn more about standard error:

brainly.com/question/29037921

#SPJ11

The measure of ∠CFE is 40°

To solve for triangle ∠CEF, we know that

Parallel to DE is BC

Arc length BD = 58°

Arc length DE = 142°

We can then draw a diameter across the center of the circle and give it a name as the first step. The diameter in this situation is line ZT.

The arcs BD and DE are split in half by the line ZT.

Which is:

Arc SC = 1/(1/2(arc BC) = 1/(58)

Arc SC = 29°

142 = 1/2(arc DE) + arc TE

Arc TE = 71°

Sum of the angles of a semicircle is 180 degrees: Arc SC + Arc CE + Arc TE

29° + Arc CE + 71° = 180°

Arc CE + 100° = 180°

Arc CE = 180-100

Arc CE = 80°

Angle inscribed equals half of angle intercepted

CFE = 1/2 of Arc CE

<CFE = 1/2(80)

< CFE = 40°

The above answer is based on the full question below;

In circle A shown, BC || DE , mBC=58° and mDE=142°. Determine the measure of ZCFE . Show how you arrived at your answer

Find more exercises on measure of Triangles;

https://brainly.com/question/9524036

#SPJ1

Answer:

23

Step-by-step explanation:

8x-77=3x+38 > 8x=3x+115 > 5x=115 > x=23

Answer:

\(\frac{31}{(5x+2)^2}\)

Step-by-step explanation:

See image for quotient rule

f(x)= numerator = 3x-5

g(x)= denominator = 5x+2

so we have

\(\frac{(5x+2)(3x-5)'-(3x-5)(5x+2)'}{(5x+2)^2}\\(3x-5)'=3\\(5x+2)'=5\\\frac{(5x+2)(3)-(3x-5)(5)}{(5x+2)^2}\\\frac{15x+6-(15x-25)}{(5x+2)^2}\\\frac{31}{(5x+2)^2}\)

The exponential model that calculates the concentration of bacteria after x weeks can be represented by the equation B(x) = 2.1 million * (3^x), the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

This equation assumes that the concentration triples each week, starting from the initial concentration of 2.1 million bacteria per milliliter.

To estimate the concentration after 1.6 weeks, we can substitute x = 1.6 into the exponential model. B(1.6) = 2.1 million * (3^1.6) ≈ 14.87 million bacteria per milliliter. Therefore, after 1.6 weeks, the estimated concentration of bacteria in the river would be approximately 14.87 million bacteria per milliliter.

The exponential model B(x) = 2.1 million * (3^x) represents the concentration of bacteria after x weeks, where the concentration triples each week. By substituting x = 1.6 into the equation, we estimate that the concentration after 1.6 weeks would be approximately 14.87 million bacteria per milliliter.

Learn more about equation here:

https://brainly.com/question/29538993

#SPJ11

Answer:

D :5

Step-by-step explanation:

because im smart :)

(b) 145, 143, 145, and 147 must have the smallest standard deviation.

A statistical measurement called standard deviation examines how distant a set of numbers is from the mean. Simply said, standard deviation quantifies the degree of dispersion between numbers in a data set. The square root of the variance is used to construct this metric. The standard deviation reveals the degree of data skewedness. It gauges how far away from the mean each observed value is. Approximately 95% of values in any distribution will be within two standard deviations of the mean.

Given,

(b) 145, 143, 145, and 147 must have the smallest standard deviation.

Due to the near proximity of all the values, this particular data set has the lowest standard deviation.

To learn more about standard deviation, visit:

https://brainly.com/question/16555520

#SPJ4

Answer:

15.21

Step-by-step explanation:

All of the bills total to $2432.50. The person works 160 hours in a month. $2432.50 ÷ 160 = $15.20, BUT:

$15.20 × 160 = $2432, which is 50 cents short of what they need, so one extra cent in their wage will give them the amount they need.

$15.21 × 160 = $2433.60

The incorrect statement is: d) When Type I error increases, Type II error must decrease, ceteris paribus.

Type I error and Type II error are two types of errors that can occur in hypothesis testing.

Type I error occurs when the null hypothesis is incorrectly rejected, meaning that we conclude there is a significant effect or relationship when, in reality, there is none. The level of significance, denoted by α, represents the probability of making a Type I error. It is the maximum tolerable probability of rejecting the null hypothesis when it is true. Therefore, statement a) is correct.

Type II error occurs when the null hypothesis is incorrectly accepted, meaning that we fail to detect a significant effect or relationship when there actually is one. The probability of making a Type II error is denoted by β. The power of a statistical test is defined as 1 - β and represents the probability of correctly rejecting the null hypothesis when it is false.

Statement b) is incorrect because lowering both α and β at the same time typically requires a larger sample size. This is because reducing both types of errors simultaneously requires more evidence to reach a significant result and reduce the chances of false positives and false negatives.

Statement c) is correct. As the sample size, denoted by n, increases, the probability of rejecting a true null hypothesis increases. This is because a larger sample provides more information and increases the likelihood of detecting a significant effect if it exists.

Statement d) is incorrect. Type I and Type II errors are inversely related, meaning that when the probability of making a Type I error increases, the probability of making a Type II error generally increases as well. This is because a more lenient rejection criterion (higher α) increases the likelihood of rejecting the null hypothesis incorrectly, which also reduces the power of the test and increases the chances of failing to detect a true effect or relationship. Therefore, an increase in Type I error is often accompanied by an increase in Type II error, ceteris paribus (assuming other factors remain constant).

To learn more about probability, click here: brainly.com/question/12594357

#SPJ11

Answer:

1,400 children attend the school

Step-by-step explanation:

If 20% is 280, we can set up a proportion to solve for how many attend the school. I will put the percentages on top and the number of children on the bottom:

-> Please note that a percentage divided by 100 becomes a decimial

\(\frac{20}{280}=\frac{100}{x}\)

Cross multiply:

.2 * x = 280 * 1

.2x = 280

Divide both sides of the equation by .2:

1,400 children attend the school

We can check our work by multiplying 1,400 by 0.2:

1,400 * 0.2 = 280 ✓

Answer:

11 1/4 teaspoons

Step-by-step explanation:

So 3/4 + 1 1/2 teaspoons are in one pot, which means 5(3/4 + 1 1/2) teaspoons are in 5 pots.

5(3/4 + 1 1/2)

5(2 1/4)

10 5/4

11 1/4

Total pepper and salt combined are needed in order to make 5 pots of spaghetti sauce is, 45 / 4

We have to given that,

A chef added 3/4 teaspoon of pepper and 1 1/2 teaspoons of salt to each pot of spaghetti sauce.

Here, Total amount of pepper and salt for each pot of spaghetti sauce is,

3/4 + 1 1/2

3/4 + 3/2

Make denominator same by taking LCM of 4,2 which is 4.

3/4 + 6/4

(3 + 6) / 4

9/4

Therefore, Total pepper and salt combined are needed in order to make 5 pots of spaghetti sauce is,

5 x 9/4

45 / 4

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ6

The median of the given data set as required to be determined in the task content is; 4.

It follows from the task content that the value which represents the median of the data set is to be determined.

By observation, the number of data values in the data set is; 15. On this note, the median value would be the eighth term in an orderly arrange of the values.

Consequently, the median of the data set as required is; 4.

Read more on median of dot plot;

https://brainly.com/question/16800683

#SPJ1

Answer: The answer is 7(9 + 5)=98

7x9=63

7x5=35

63+35=98

Step-by-step explanation: 63+35=98

Answer:

9(7+35)

Step-by-step explanation:

don't really have a step-by-step so I hope u don't fail

The total revenue from adult ticket sales (10a) must be greater than or equal to $1200.

Let's represent the number of student tickets sold as 's' and the number of adult tickets sold as 'a'.

The revenue from student ticket sales can be calculated as 7.50s, and the revenue from adult ticket sales can be calculated as 10a.

To satisfy the constraint that the drama club must make no less than $1200, we can write the following inequality:

7.50s + 10a ≥ 1200

This inequality states that the total revenue from student ticket sales (7.50s) plus the total revenue from adult ticket sales (10a) must be greater than or equal to $1200.

This inequality ensures that the ticket sales generate enough revenue to cover the show's costs. The drama club needs to sell enough tickets, both student and adult, to meet or exceed the minimum revenue requirement of $1200.

For more such answers on revenue

https://brainly.com/question/30760779

#SPJ8

Every symmetric matrix is orthogonally diagonalizable because of its eigenvectors. The eigenvectors are used to find the eigende composition of a matrix. And since the eigenvectors of a symmetric matrix are always orthogonal to each other, it can be diagonalized by using these eigenvectors as its columns. Therefore, statement a is true.

a. Every symmetric matrix is orthogonally diagonalizable: True

Every symmetric matrix is orthogonally diagonalizable because of its eigenvectors. The eigenvectors are used to find the eigende composition of a matrix. And since the eigenvectors of a symmetric matrix are always orthogonal to each other, it can be diagonalized by using these eigenvectors as its columns. Therefore, statement a is true.

b. If B = PDPT, where PT = P−¹ and D is a diagonal matrix, then B is a symmetric matrix: True

This is true. If B is an orthogonal diagonalization of a matrix A, then B = PDP−¹. We can then rewrite this as B = PDP⁻ᵀ. We can see that PT = P⁻¹. Thus, statement b is true.

c. An orthogonal matrix is orthogonally diagonalizable: True

Since orthogonal matrices represent orthogonal transformations, they always have an orthonormal basis for eigenvectors, which means that they can always be diagonalized by an orthogonal matrix. Therefore, statement c is true.

d. The dimension of an eigenspace of a symmetric matrix equals the multiplicity of the corresponding eigenvalue: True

This statement is true. The dimension of an eigenspace is the number of linearly independent eigenvectors that correspond to the same eigenvalue. In a symmetric matrix, eigenvectors corresponding to different eigenvalues are orthogonal, and the eigenvectors corresponding to the same eigenvalue span an eigenspace.

Therefore, the dimension of an eigenspace of a symmetric matrix equals the multiplicity of the corresponding eigenvalue.

To know more about symmetric matrix visit: https://brainly.com/question/14405062

#SPJ11

Answer:

??? english

Step-by-step explanation:

The proper decision is to reject the null hypothesis.

The concept, procedures, and method of testing a hypothesis against the null hypothesis. The testing hypothesis is said to have that level of significance if the null hypothesis is only rejected if its probability is less than a preset significance level.

Given: p-value = 0.02916

Level of significance = 9%

The P-value approach involves determining "likely" or "unlikely" by determining the probability — assuming the null hypothesis were true — of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed.

If the P-value is less than (or equal to), then the null hypothesis is rejected in favor of the alternative hypothesis. And, if the P-value is greater than, then the null hypothesis is not rejected.

Therefore, p-value is less than the level of significance.

Hence, we are rejecting the null hypothesis.

Learn more about hypothesis testing

https://brainly.com/question/15980493

#SPJ4

The kind of system and equation that has many solutions is a linear system of equations with infinitely many solutions.

Equation is an expression that states the equality of two things. It is usually written using mathematical symbols, and it typically contains an equals sign (=). An equation is used to describe a relationship between two or more variables, such as the relationship between the circumference of a circle and its radius, or the relationship between a certain amount of money and the amount of interest it will generate. Equations are used to solve problems in mathematics, chemistry, physics, engineering, and other disciplines.

This means that any combination of values for the unknowns that satisfies the equation will provide a solution. A linear system of equations can be written in the form of ax + by = c, where a, b, and c are all real numbers, and x and y are the unknown variables. When the equation has infinitely many solutions, it means that for any given value of a, b, and c, there is an infinite number of possible values for the unknowns x and y. This can be seen by looking at the graph of the equation, which will be a straight line that passes through the origin, and the line will have an infinite number of points on it.

To know more about equation click-
https://brainly.com/question/2972832
#SPJ4

The classification of the type of angles are:

Alternate interior angles: ∠4 and ∠2, ∠3 and ∠1

Angles opposite by the vertex: ∠a and ∠4, ∠d and ∠2

Corresponding angles: ∠c and ∠1, ∠d and ∠4, ∠3 and ∠b, ∠2 and ∠a

Adjacent or linear pair: ∠b and ∠a, ∠c and ∠d, ∠3 and ∠2, ∠4 and ∠1

1) The alternating angles are on opposite sides of the horizontal line. Alternating interior angles are alternating angles between two lines intersecting a transverse line. Alternating exterior angles are the exterior alternating angles of two lines intersecting a horizontal line.

2) There are no corresponding interior or exterior angles because the corresponding corners are in the same relative position at the point of intersection. If the traverse crosses two parallel lines, the corresponding angles are congruent.

3) If the traverse crosses two parallel lines, the corresponding interior angles are congruent. In this case there are two identical intersections.

4) Angles opposite by the vertex are called vertically opposite angles.

5) Pair of adjacent angles whose measures add up to form a straight angle is known as a linear pair. They sum up to 180 degrees.

Thus:

∠4 and ∠2 are alternate interior angles

∠3 and ∠1 are alternate interior angles

∠b and ∠a are adjacent or linear pairs

∠c and ∠d are adjacent or linear pairs

∠3 and ∠2 are adjacent or linear pairs

∠4 and ∠1 are adjacent or linear pairs

∠c and ∠1 are corresponding angles

∠d and ∠4 are corresponding angles

∠3 and ∠b are corresponding angles

∠2 and ∠a are corresponding angles

∠a and ∠4 are vertically opposite angles

∠d and ∠2 are vertically opposite angles

Read more about Types of angles at: https://brainly.com/question/28293784

#SPJ1

Answer:

D

Step-by-step explanation:

Answer:

The series of transformations that moves pentagon FGHIJ onto pentagon F'G'H'I'J' is;

C. Translation, translation

Step-by-step explanation:

The coordinates of points in pentagon FGHIJ are F(-2, 0), G(-1, 3), H(-2, 4), I(-5, 4), J(-4, 1)

The coordinates of points in pentagon F'G'H'I'J' are F'(2, 1), G'(3, 4), H'(2, 5), I(-1, 5), J(0, 2)

Therefore the series of transformations that moves pentagon FGHIJ onto pentagon F'G'H'I'J' are;

1) A horizontal translation 4 units to the right and

2) A vertical translation 1 unit up

Therefore, the series of transformations that moves pentagon FGHIJ onto pentagon F'G'H'I'J' is T₍₄, ₁₎ which is a translation, translation.

Answer:

\(slope = \frac{2 - ( - 1)}{0 - ( - 1)} \\ = 3 \\ y = mx + c \\ 2 = (0 \times 3) + c \\ c = 2 \\ { \boxed{y = 3x + 2}}\)