-16a+2b=42 solve for b

Answer:

Work smartly not hard.

Step-by-step explanation:

AI

Answer:

Time is 4 years

Step-by-step explanation:

P=10000

A=15000

R=12.5%

SI=A-P

=15000-10000

SI=5000

T=?

We know,

T=SI*100/P*R

=5000*100/10000*12.5

=500,000/125,000

T=4years

The length of the indicated segments are determined as:

17. VX = 6      18. SU = 15

Based on the side-splitter theorem, the sides that are intercepted are divided proportionally. Using this theorem, we will find the length of the indicated segments below:

17. 8/20 = VX/15

Cross multiply:

VX * 20 = 8 * 15

VX * 20 = 120

VX = 120/20

VX = 6

18. SU/10 = 12/8

Cross multiply:

SU = 120/8

SU = 15

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Step-by-step explanation:

=4(x)+4(-7)-2(x)-2(1) = -10

= 4x-28-2x-2= -10

therefore the third equation is equivalent to the given equation..all you need is to simplify.

Hope this Helps!!!

The number of millimeters in each glass is 200ml.

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. in this case, it is vital to note that they have at least two terms which have to be related by through an operator.

It is important to note that some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.

Since Cheetan brought a 2L bottle of milk and used 400 ml from it with the remaining amount of milk he could complely fill 8 glases of the same size and shape. The amount in each will be:

= (2l - 400ml )/8

= (2000 - 400) / 8

= 1600 / 8

= 200ml

Therefore, based on the calculation, there'll be 200 millimeters on each glass.

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Complete question

cheetan brought a 2L bottle of milk and used 400 ml from it with the remaining amount of milk he could complely fill 8 glases of the same size and shape. How many ml will each contain?

Answer:

<

Step-by-step explanation:

I used a scientific calculator, 2² is 4 and when I take 4.7 × 10-³ minus 4 the answer is negative, so I'm guessing that it's a number less than 4.

Again, I haven't learned this yet since I'm 12 so it might be wrong.

Answer:

(10 - x + y) units

Step-by-step explanation:

Perimeter of the triangle = (3 - 2x + x + 7 + y) units = (10 - x + y) units

If you wish to venture further into mathematics (aka other topics), you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:

10

explanation:

60 divided by 6 equals 10, you could just use the division symbol, which is a slash, as we did above. The easiest way we found to answer the question "what 60 divided by 6 means", is to answer the question with a question: How many times does 6 go into 60?

Answer:

10

Step-by-step explanation:

The binomial theorem states that: \((x + y)^n = \sum_{k=0}^n{n\choose k} x^{n-k}y^k\). So, the binomial expansion of (2x - 3y)⁵ is: \(32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5\).

Now, let's use the Binomial Theorem to find the binomial expansion of (2x - 3y)⁵. We will have to find the coefficients for each term. So, let's get started. n = 5x = 2xy = -3[nCr = n! / (r! * (n-r)!)]

Term k = 0: \( {5 \choose 0} (2x)^5 (-3y)^0\) = 32x⁵

Term k = 1: \({5 \choose 1} (2x)^4 (-3y)^1\) = -240x⁴y

Term k = 2: \({5 \choose 2} (2x)^3 (-3y)^2\) = 720x³y²

Term k = 3: \({5 \choose 3} (2x)^2 (-3y)^3\) = -1080x²y³

Term k = 4: \({5 \choose 4} (2x)^1 (-3y)^4\) = 810xy⁴

Term k = 5: \({5 \choose 5} (2x)^0 (-3y)^5\) = -243y⁵

Now we can combine all of these terms to form the binomial expansion of (2x - 3y)⁵:\((2x - 3y)^5 = 32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5\)

Therefore, the binomial expansion of (2x - 3y)⁵ is: \(32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5\).

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A tessellation is a pattern made by repeating geometric shapes without any gaps or overlaps. These shapes, called tiles or polygons, fit together perfectly to cover a plane or a surface. Tessellations can be found in various forms of art, architecture, and design. They are used to create visually appealing patterns and decorations, as well as to explore mathematical concepts.

Tessellations are utilized in various practical applications, such as tiling floors, walls, and pavements, designing mosaics and quilts, and creating computer graphics and textile patterns. They are also studied in mathematics to understand concepts like symmetry, geometry, and transformations.

For polygons to tessellate, certain conditions must be met at their vertices. At each vertex, the angles formed by the polygons must add up to a whole number of degrees, typically 360 degrees. In other words, the sum of the interior angles of each polygon meeting at a vertex must be a multiple of 360 degrees.

This ensures that the polygons can fit together seamlessly without leaving any gaps or overlaps. Examples of polygons that tessellate include equilateral triangles, squares, and hexagons, as their angles add up to 360 degrees at each vertex.

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When solving a linear system of equations, you are looking for the points of intersection between the equations

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

Solving a system of linear equations

Also, we have the following from the options

The general rile is that

Slope = rate of change

x and y intercepts = when y and x equals 0

points of intersection = solution to the system

Hence, you are looking for the points of intersection between the equations

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Question

When solving a linear system of equations, you are looking for which of the following?

Slope

y-intercept

x-intercept

Points of intersection

The volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.

To calculate the volume of the tree stump, we can use the formula for the volume of a cylinder, which is given by:

Volume = π * r^2 * h

Given:

Radius (r) = 20 inches

Height (h) = 0.7 feet

First, let's convert the height from feet to inches since the radius is already in inches. There are 12 inches in 1 foot, so:

Height (h) = 0.7 feet * 12 inches/foot = 8.4 inches

Now, we can substitute the values into the volume formula:

Volume = π * (20 inches)^2 * 8.4 inches

Calculating the volume:

Volume = 3.14159 * (20 inches)^2 * 8.4 inches

≈ 3.14159 * 400 inches^2 * 8.4 inches

≈ 1005.3096 cubic inches

Rounding the volume to the nearest tenth:

Volume ≈ 1005.3 cubic inches

Therefore, the volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.

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Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

Answer:

x = 4√2

Step-by-step explanation:

Identifying the triangle in the diagram:

45-45-90 triangle rules:

Finding x:

Since the hypotenuse is 8 units long and, we can find x by setting 8 equal to x√2:

(8 =  x√2) / √2

8/√2 = x

Rationalize the denominator to simplify:

(8/√2) * (√2/√2)

8√2 / 2

4√2

Thus, x = 4√2

The principle of "Caring about the development of students' mathematical proficiency" is a vital component of the teaching process.

As a teacher, you must be concerned about your student's growth in mathematics to support their success in the subject. The main points of this principle are as follows:

1. Supporting Students: The teacher must strive to provide effective support for each student's learning, based on their needs.

2. Encouraging Students: The teacher should encourage students to improve their proficiency in mathematics and support their learning by providing suitable opportunities for them.

3. Problem-Solving Skills: Teachers must help students develop problem-solving skills to tackle challenging mathematical problems.

4. Feedback and Assessment: The teacher must provide timely feedback and assessment to support the student's growth in mathematics. This feedback should be constructive and should aid in the student's development of mathematical proficiency.

5. Encouraging Student Reflection: The teacher should encourage students to reflect on their learning experiences to recognize areas where they need more support. The development of a student's mathematical proficiency should be the focus of a teacher's teaching, learning, and assessment practices.

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Answer:

Im sorry but why is this a question? Like what school gives this out

Answer:the least common denominator is 10 because 5x2 is 10 and then 10x1 is 10 its the least for both of them

Step-by-step explanation:

Answer:.

Step-by-step explanation:

The factor of the expression 9t – 3u will be 3 and 3t – u.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

One of the many branches of mathematics is algebra. Algebra, which is a common thread throughout practically all of mathematics, is broadly defined as the study of numbers and symbols and the procedures for using these symbols in formulae.

The expression is given below.

⇒ 9t – 3u

Simplify the expression, then we have

⇒ 3·3t – 3u

⇒ 3(3t – u)

The factor of the expression 9t – 3u will be 3 and 3t – u.

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Answer:

x = 27 , ∠ EAF = 27°

Step-by-step explanation:

∠ GAF = 90° , then

∠ GAC + ∠ CAF = ∠ GAF , that is

x + 63 = 90 ( subtract 63 from both sides )

x = 27

∠ DAE = 90°

since CD is a straight angle of 180° , then

∠ CAE = 90° , so

∠ CAF + ∠ EAF = ∠ CAE , that is

63° + ∠ EAF = 90° ( subtract 63° from both sides )

∠ EAF = 27°

The values of a, b and c from the given exponential function are 7, 9 and 4 respectively

According to the exponential law of indices

\(\sqrt[c]{a^b}\)

This can be written as;

\(\sqrt[c]{a^b}=a^{\frac{b}{c} }\)

Given the exponential expression

\(7^\frac{9}{4}\)

Compare with the original expression

a = 7, b = 9 and c = 4

Hence the values of a, b and c from the given exponential function are 7, 9 and 4 respectively

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There are countless possibilities for shapes that are similar but not congruent to shape 1, as long as they maintain the same proportions and shape.

There are many shapes that are similar but not congruent to shape 1. Similar shapes have the same shape, but their sizes may be different. In contrast, congruent shapes have the same shape and size.

One example of a similar shape to shape 1 is a rectangle that is twice as long and half as wide. Another example could be a square that is three times larger in area than shape 1.

A parallelogram that has the same base as shape 1 but is three times as tall is also similar but not congruent.

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Therefore, supplying 4X4 square tiles can tile the rectangle completely with the help of the HCF concept.

What is HCF?

The greatest number that totally divides two numbers is known as the Highest Common Factor (HCF).

HCF for 12 and 20 is equal to 4. Factors of 12 & 20 = 1, 2, 3, 4, 6, and, respectively, 1, 2, 4, 5, 10, 20. In this case, 4 is the biggest number that can be found in the factors for 12 and 20.

We interpret the study released as the component of the product factors in order to determine the HCF by listing common factors in prime factorization.

Consequently, 12 and 20 can be written as;

12 equals 2 × 2 × 3

20 equals 2 × 2 × 5

2 and 2 are frequent prime factors for 12 and 20.

Therefore,

HCF (12, 20) equals 2 × 2 = 4

Therefore, supplying 4X4 square tiles can tile the rectangle completely with the help of the HCF concept.

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The probability that 5 randomly selected homes all continue to use a landline is approximately 0.0094  or 0.94%.

In this case, the binomial distribution is used to calculate the probability of getting exactly k successes in n trials with a probability of success p.

The formula for the binomial probability distribution is used to calculate the probability of all 5 randomly selected homes continuing to use a landline. The binomial probability distribution formula is given by

          \(P(X = k) = (n, k) \times p^{k} \times (1 - p)^{n-k}\)

Here we have    

39.4% of us homes continue to use a landline in addition to cell phone service

Assuming that each household is independent and has the same probability of using a landline, we can model the number of households that continue to use a landline as a binomial random variable x with parameters n = 5 (the number of trials) and p = 0.394 (the probability of success on each trial).

The probability of getting exactly k successes in n trials can be calculated using the binomial probability formula:

               \(P(X = k) = (n, k) \times p^{k} \times (1 - p)^{n-k}\)  

For k = 5, the probability of all 5 households continuing to use a landline  

=> P(X = 5) = (5, 5) × 0.394⁵  × (1 - 0.394)⁽⁵⁻⁵⁾

= 0.394⁵ ≈ 0.0094

Therefore,

The probability that 5 randomly selected homes all continue to use a landline is approximately 0.0094  or 0.94%.

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Answer:

6

Step-by-step explanation:

Recall the area of a triangle formula

\(A=\frac{bh}{2}\) where b = base and h = height

The triangle shown has a height of 4cm and a base length 3cm

Using this information we plug in the values into the formula

\(A=\frac{4*3}{2} \\4*3=12\\\frac{12}{2} =6\)

Hence, the area of the triangle is 6 square centimeters

Answer:

Ok so the area of the triangle is 6

Step-by-step explanation:

a= 1/2 bh

a= 1/2 * 3 * 4

a= 1/2 * 12

a= 6

Answer:

495

Step-by-step explanation:

using the definition

n\(C_{r}\) = \(\frac{n!}{r!(n-r)!}\)

where n! = n(n - 1)(n - 2) ... × 3 × 2 × 1

then

12\(C_{4}\)

= \(\frac{12!}{4!(12-4)!}\)

= \(\frac{12!}{4!(8!)}\)

cancel 8! on numerator/ denominator

= \(\frac{12(11)(10)(9)}{4!}\)

= \(\frac{11880}{4(3)(2)(1)}\)

= \(\frac{11880}{24}\)

= 495

Answer:

pythagorean theorem!

Step-by-step explanation:

a²+b²=c² (normal)

a²=c²-b² (to find a)

\(a { = \sqrt{c {}^{2} } } - b ^{2} \)

\(a = 38 ^{2} - 27 ^{2} \)

\(a = \sqrt{1444 - 729} \)

\(a = \sqrt{715} \)

\(a = 26.7394839142\)

The possible ratios of dogs to cats that could be made is

12 : 48 , 6 : 24 , 3 : 12 , 1 : 4 and soon.

What is ratio in math?

When b does not equal 0, an ordered pair of numbers a and b, represented as a / b, is said to be a ratio. A percentage is an equation in which two ratios are made equal to one another.

                             As an illustration, you could express the ratio as 1: 3 if there is 1 guy and 3 girls (for every one boy there are 3 girls)

Given ,

If there are 12 dogs and 48 cats at a pet daycare,

So, we have to fill out all of the possible ratios of dogs to cats that could be made.

ratio could be  = 12 : 48

12 : 48  = 1 : 4

6 : 24 = 1 : 4

3 : 12 = 1 : 4

1 : 4 = 1 : 4

Therefore, The possible ratios of dogs to cats that could be made is

12 : 48 , 6 : 24 , 3 : 12 , 1 : 4 and soon.

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