The midpoint of ABis M(-1, -4). If the coordinates of A are (-3, -7), what are the coordinates of B?

Based on the amount of Nacho cheese corn chips and the calories per gram, the calories per party bag is 1,094.6 calories

First, convert ounces to grams:

= 1 ounce is 28.3495 grams

Party bag in grams:

= 15 x 28.3495

= 425.243 grams

The amount of calories is:

= 425.243 x 28.6% x 9

= 1,094.6 calories

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Answer:

There are 15 girls and 21 boys

Step-by-step explanation:

Answer:

15 girls

Step-by-step explanation:

Answer:

20 dollars per month

Step-by-step explanation:

85 = 25 + x3

60 = x3

20 = x

The definition of slope-intercept form y=mx+b is given below.

A line has length but no breadth, making it a one-dimensional figure. A line is made up of a collection of points that may be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it. Collinear points are two points that are located on the same line.

In geometry, there are two types of lines: straight and curved. Vertical and horizontal straight lines are further divided into categories. Parallel, intersecting, and perpendicular lines are further types of lines.

In the given question:-

The value of the steepness or the direction of a line in a coordinate plane is referred to as the slope of a line, also known as the gradient. Given the equation of a line or the coordinates of points situated on the straight line, slope may be determined using a variety of approaches.

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Answer:

x = 140

Step-by-step explanation:

5% = 5/100 = 0.05

0.05x + 9 = 16

0.05x = 16-9

x = 7/0.05

x = 140

Answer:

9 jars

Step-by-step explanation:

If you have 25.5 cups of peaches and each jar holds 3 cup you just divide 25.5 by 3 and you get 8,5. But if you want to hold all the peaches you round up to 9 jars.

Answer:

D Medicine developed from strands of bacteria is an example of how microorganisms can be helpful.

The equation is represented as k = 17

Algebraic expressions are known as  expressions made up of :

From the information given, we have that;

51 divided by 3 is k

The equation or algebraic expression should be written as:

51/ 3 = k

Now, let's solve the equation

k = 17

Thus, the equation is represented as k = 17

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The dual for the given linear programming problems are as follows:

(i) Minimize Z' = 10a + 12b Subject to: a + 7b ≥ 3 2a + 3b ≥ 4 a + 9b ≥ 5 a, b ≥ 0.

(ii) Maximize Z' = 5a + 6b + 2c Subject to: 3a + 2b + c ≤ 1 4a + 6b + c ≤ 2 a + b ≤ 0 a, b, c ≥ 0.

In the first problem, we have a maximization problem with three variables (x, y, z) and two constraints. The dual formulation involves minimizing a new objective function with two variables (a, b) and four constraints. The coefficients of the variables and the constraints are transformed according to the rules of duality.

The primal problem is:

Maximize Z = 3x + 4y + 5z

Subject to:

x + 2y + z ≤ 10

7x + 3y + 9z ≤ 12

x, y, z ≥ 0

To find the dual, we introduce the dual variables a and b for the constraints:

Minimize Z' = 10a + 12b

Subject to:

a + 7b ≥ 3

2a + 3b ≥ 4

a + 9b ≥ 5

a, b ≥ 0

In the second problem, we have a minimization problem with two variables (y1, y2) and three constraints. The dual formulation requires maximizing a new objective function with three variables (a, b, c) and four constraints. Again, the coefficients and constraints are transformed accordingly.

The primal problem is:

Minimize Z = y1 + 2y2

Subject to:

3y1 + 4y2 > 5

2y1 + 6y2 ≥ 6

y1 + y2 ≥ 2

To find the dual, we introduce the dual variables a, b, and c for the constraints:

Maximize Z' = 5a + 6b + 2c

Subject to:

3a + 2b + c ≤ 1

4a + 6b + c ≤ 2

a + b ≤ 0

a, b, c ≥ 0

The duality principle in linear programming allows us to find a lower bound (for maximization) or an upper bound (for minimization) on the optimal objective value by solving the dual problem. It provides useful insights into the relationships between the primal and dual variables, as well as the economic interpretation of the problem.

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The exact coordinates of the terminal point (2,y) are (2, 2.06) to two decimal places.

The exact coordinates of the terminal point (2,y) on a circle with radius 3 and an angle of 2.4 radians can be found using trigonometric functions of sine and cosine.

To solve for the y-coordinate, we can use the formula: y = sin(2.4) × 3. Evaluating this expression, we get: y = 3 × sin(2.4) ≈ 2.06. Therefore, the y-coordinate of the terminal point is approximately 2.06.

To solve for the x-coordinate, we can use the formula: x = cos(2.4) × 3. Evaluating this expression, we get: x = 3 × cos(2.4) ≈ 0.621. Therefore, the x-coordinate of the terminal point is approximately 0.621.

Hence, the exact coordinates of the terminal point (2,y) are (2, 2.06) to two decimal places.

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Answer:

Maria

Step-by-step explanation:

A typical snake bite delivers 0.0045 grams of venom.

Maria wrote it in scientific notation as \(4.5\times 10^{-3}\)

Tammy wrote it in scientific notation as \(4.5\times 10^{3}\)

Any number can be written in the form of scientific notation as follows :

\(N=a\times 10^b\) (a is real no and b is integer)

The given no is 0.0045.

There are 2 zeroes before 4. Also the decimal is there before 2 zeroes.

\(0.0045=\dfrac{45}{10000}\\\\=\dfrac{45}{10}\times \dfrac{1}{1000}\\\\=4.5\times 10^{-3}\)

Hence, Maria is correct.

Answer:

A

Step-by-step explanation:

We have the expression \(k+(2k-10)\)

We want to find the value when k is -3. So, substitute -3 for k and evaluate:

\(\Rightarrow (-3)+(2(-3)-10)\)

Multiply:

\(=-3+(-6-10)\)

Subtract:

\(=-3+(-16)\)

Add:

\(=-19\)

Therefore, our answer is A.

Answer:

X=5 Y=5

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Since this is an equilateral triangle, all sides are equal.

3x-6 = 2x+3

Move like terms to one side

x = 9

Now we plug 9 back in for x

2(9) + 3

=18 + 3

=21

Answer:

Pedigrees of autosomal recessive traits will have equal frequencies of affected males and females, whereas pedigrees X-linked recessive traits will show that most of the affected individuals are male.

Step-by-step explanation:

If the trait is dominant, one of the parents must have the trait. Dominant traits will not skip a generation. If the trait is recessive, neither parent is required to have the trait since they can be heterozygous.A pedigree is a chart which shows the inheritance of a trait over several generations. From studying a pedigree, scientists can determine if a trait is sex-linked or autosoma If an individual has that trait, their symbol on the pedigree will be shaded in. If they have no widow's peak, their symbol will not be shaded in because having no widow's peak is recessive. Certain traits like colorblindness are located on the X or Y chromosome and are called sex-linked Several basic modes of inheritance exist for single-gene disorders: autosomal dominant, autosomal recessive, X-linked dominant, and X-linked recessive. However, not all genetic conditions will follow these patterns, and other rare forms of inheritance such as mitochondrial inheritance exist Autosomal recessive patterns manifest by skipping generations as the affected are usually children of unaffected carriers. It is also common to see affected individuals with unaffected offspring. ... The most common situation of an autosomal recessive disease occurs when the parents are each carrier or heterozygous (Dd)

Answer:

X-linked recessive.

Step-by-step explanation:

To start reading a pedigree:

Determine whether the trait is dominant or recessive. If the trait is dominant, one of the parents must have the trait. Dominant traits will not skip a generation. If the trait is recessive, neither parent is required to have the trait since they can be heterozygous.

Determine if the chart shows an autosomal or sex-linked (usually X-linked) trait. For example, in X-linked recessive traits, males are much more commonly affected than females. In autosomal traits, both males and females are equally likely to be affected (usually in equal proportions).

We prefer t procedures to z procedures for inference about a population mean because t procedures are more appropriate when the population standard deviation is unknown.

1. When the population standard deviation is known, we use z procedures. However, in many cases, the population standard deviation is not known and needs to be estimated from the sample data.
2. The t procedures take into account this uncertainty in estimating the population standard deviation by using the sample standard deviation in the calculations.
3. This makes the t procedures more accurate and reliable for inference about a population mean when the population standard deviation is unknown.

Therefore, t procedures are preferred over z procedures for inference about a population mean because they provide more accurate results when the population standard deviation is unknown.

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Answer:

Step-by-step explanation:

The slope for the given situation will be $2.96. 5.92/2 = $2.96 per meal

Answer:

See below

Step-by-step explanation:

An actual popsicle stick has THREE lines of symmetry

   the figure shown has TWO lines of symmetry

Answer:

77

Step-by-step explanation:

(6 + 3)² is same as (a +  b)²

Since (a +  b)² = a² + 2ab + b²

Therefore,

(6 + 3)² - 4

= (36 + 36 + 9) - 4

= 81 - 4

= 77  

Hi there! Hopefully this helps!

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Since PEMDAS exists, we will do parentheses "(6+3)" first to get 9.

Then we do the exponent which is:

\(9^{2}\) = 81.

Then we subtract.

81 - 4 = 77.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

More broken down explanation:

\((6+3)^{2} -4\)

Add 6 and 3 to get 9.

\(9^{2} - 4\) ≈ \(77\)

Calculate 9 to the power of 2 and get 81.

\(81-4\) = \(77\)

The value of x in 3.17 and value of segment LN is 6.34.

The value of x in the given expression is calculated as follows;

The value of x in the given equation can be determined by summing segment LN and MN.

LN + LM = MN

2x + 4x + 8 = 27

6x + 8 = 27

collect like terms

6x = 27 - 8

6x = 19

x = 19/6

x = 3.17

LN = 2 x 3.17

LN = 6.34

Thus, the value of x in 3.17 and value of segment LN is 6.34.

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Answer:

you are missing part of the question

Step-by-step explanation:

Mike Sullivan recently retired as Professor of Mathematics at Chicago State University, having taught there for more than 30 years. He received his PhD in mathematics from Illinois Institute of Technology.

He is a native of Chicago’s South Side and currently resides in Oak Lawn, Illinois. Mike has 4 children; the 2 oldest have degrees in mathematics and assisted in proofing, checking examples and exercises, and writing solutions manuals for this project. His son Mike Sullivan, III co-authored the Sullivan Graphing with Data Analysis series as well as this series. Mike has authored or co-authored more than 10 books. He owns a travel agency and splits his time between a condo in Naples, Florida and a home in Oak Lawn, where he enjoys gardening.

Michael Sullivan, III has training in mathematics, statistics and economics, with a varied teaching background that includes 27 years of instruction in both high school and college-level mathematics. He is currently a full-time professor of mathematics at Joliet Junior College. Michael has numerous textbooks in publication, including an Introductory Statistics series and a Precalculus series which he writes with his father, Michael Sullivan.

Michael believes that his experiences writing texts for college-level math and statistics courses give him a unique perspective as to where students are headed once they leave the developmental mathematics tract. This experience is reflected in the philosophy and presentation of his developmental text series. When not in the classroom or writing, Michael enjoys spending time with his 3 children, Michael, Kevin and Marissa, and playing golf. Now that his 2 sons are getting older, he has the opportunity to do both at the same time!

Product details

Publisher ‏ : ‎ Pearson; 4th edition (8 January 2018)

Language ‏ : ‎ English

Hardcover ‏ : ‎ 1224 pages

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The probability of Alice, Bob, and Cicily sitting together with Alice to the left of Bob and Cicily to the right of Bob is 2 × 3! / (n-1)!

To find the probability that Alice, Bob, and Cicily sit together at a table with Alice to the left of Bob and Cicily to the right of Bob, consider them as a single entity. Let's denote this entity as ABC.

(n-1) entities since ABC is considered as one. The total number of ways to arrange (n-1) entities is (n-1)!.

Within the ABC entity, Alice, Bob, and Cicily  arrange themselves in 3! = 6 different ways.

Since Alice can sit to the left of Bob and Cicily to the right of Bob, there are two valid arrangements: ABC and ACB.

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Given statement solution is:- The correct equation of the quadratic function that models the height of the ball h(t) at time t is:

h(t) = -2(t - 3)² + 46

This equation represents a downward-opening parabola, where t represents time and h(t) represents the height of the ball at time t.

The correct equation of the quadratic function that models the height of the ball h(t) at time t is:

h(t) = -2(t - 3)² + 46

This equation represents a downward-opening parabola, where t represents time and h(t) represents the height of the ball at time t. The term (t - 3) represents the time elapsed since the ball reached its maximum height at 4 seconds, and the square term (t - 3)² determines the shape of the parabola. The coefficient -2 ensures that the parabola opens downward. The constant term 46 represents the maximum height of the ball.

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Answer:

a number line or something like this

Answer:

Step-by-step explanation:

Add them all together which is

ABC124A4B2C-16-3A3B-C  yep

The degree of a polynomial is the highest exponent of its variable. When multiplying monomials and binomials, we add the exponents of the variables to get the degree of the resulting polynomial.

However, the degree of the product can be different from the degree of the factors because of the distributive property of multiplication.

When we multiply a monomial by a binomial, we need to distribute the monomial to each term of the binomial. This results in new terms that may have different degrees than the original terms. For example, when multiplying the monomial x^2 by the binomial (2x + 3), we get:

x²(2x + 3) = 2x³ + 3x²

The degree of the monomial x² is 2, and the degree of the binomial (2x + 3) is 1. However, the degree of the resulting polynomial 2x³ + 3x² is 3 because the term 2x³ has a higher degree than any of the original terms.

Similarly, when we multiply two binomials, we need to distribute each term of one binomial to each term of the other binomial. This can also result in new terms with different degrees than the original terms.

Therefore, the degree of the product can be different from the degree of the factors when multiplying monomials and binomials because of the distributive property of multiplication.

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