What’s the answer for this

Answer:

(a) 494₁₀ = 111101110₂

(b) 494₁₀ = 13232₄

(c) 494₁₀ = 3434₅

(d) 494₁₀ = 756₈

(e) 494₁₀ = 608₁₀

Step-by-step explanation:

494₁₀ means the number is to the base 10 and therefore a decimal number which we interpret in everyday terms as just 494

To convert a number from base 10 to another base, say b, we continuously divide by that base, noting the remainder at each operation. Then we read the remainders from the last to the first and that will give you the number in terms of that other base

This is a tedious operation and best done by a base conversion calculator.

I will demonstrate using base 9 as an example

494₁₀ = what in base 9

Keep dividing by 9 until you can divide no more. Keep track of the remainder at each division

operation        quotient    remainder

494 ÷  9             54                8
54  ÷  9               6                0
   6  ÷ 9               0                6

Read the remainders from the last to the first: 6 0 8
So 494₁₀ = 608₉

The others can be done in a similar manner

However this is tedious and a computer program is easy to write for this conversion

Search for number base conversion calculator - you will find several online.

I have provided the answers for you to verify

Answer:770000

Step-by-step explanation:

That how much they made

Answer:

€8988.75

Step-by-step My bad that's not the answer

The length of AB if AC is 10ft, BC is 7ft,  ∠ BAC is 47°, and ∠ ABC is 68° is 9.78 ft.

Simple polygons with three sides and three internal angles make up triangles. One of the fundamental geometric shapes is represented by the symbol Δ and consists of three connected vertices.

Given:

The length of the side BC = 7 ft,

The length of the side AC = 10 ft,

The measure of angle BAC = 47°

The measure of angle ABC = 68°

Calculate the length AB by the Sine rule,

Sin ∠ ACB / AB = Sin ∠ ABC / AC

Calculate ∠ ACB by triangle sum rule = 180° - (68° + 47°) = 65°

Substitute the values in the sine formula,

Sin65 / AB = Sin 68 / 10  (Sin65 = 0.91 and Sin68 = 0.93),

AB = 0.91 × 10 / 0.93,

AB = 9.78 ft

Therefore, the length of AB is 9.78 ft.

To know more about Triangles:

https://brainly.com/question/16886469

#SPJ1

In an ideal and unlimited environment, a population's growth follows an exponential model.

Exponential growth is when a population's growth rate keeps increasing over time because the population has access to an unlimited supply of resources, and its rate of reproduction is not limited by a lack of food, water, or space. In a population, exponential growth would result in an increase in the number of individuals in the population over time. Thus, in an ideal, unlimited environment, a population's growth follows an exponential model.Exponential growth can be mathematically represented by the following formula:Nt = Noertwhere:Nt = the population size at time tNo = the initial population sizee = Euler's numberr = the per capita growth rate of the populationt = the amount of time that has elapsed.

Learn more about exponential model here:

https://brainly.com/question/28596571

#SPJ11

We would expect her to roll a 2 approximately 5 times when rolling a fair number cube 30 times.

If a fair six-sided number cube is rolled 30 times, we can expect each face (numbers 1 to 6) to appear approximately an equal number of times. Since there are 6 equally likely outcomes (1, 2, 3, 4, 5, and 6) on the number cube, we can assume that each number has a 1/6 probability of being  rolled on any given roll. Therefore, the expected number of times she would roll a 2 can be calculated as follows:

Expected number of times to roll a 2 = (Probability of rolling a 2) * (Total number of rolls)

= (1/6) * 30

= 5

To know more about number,

https://brainly.com/question/31682188

#SPJ11

Answer:

Step-by-step explanation:

6x-y=-5

-6x+y=5

Adding the 2 equations we have:

0 + 0 = 0

0 = 0

This means there are infinite solutions

- the equations are identical.

System B

x+3y=13

-x+3y=5

Adding:

6y = 18

y = 3.

x = 13 - 3(3) = 4.

The system has a unique solution

(x. y) = (4, 3).

Poppy's sister used approximately 3.14 inches more wire per wall hanging than Poppy.

To find the amount of wire used by both Poppy and her sister, we'll calculate the circumference of their respective wall hangings using the formula:

C = 2πr

Since the diameter is twice the radius, we can find her sister's radius as follows:

Poppy's radius = 6.25 inches

Poppy's diameter = 2 * 6.25 = 12.5 inches

Sister's diameter = Poppy's diameter + 1 = 12.5 + 1 = 13.5 inches

Sister's radius = 13.5 / 2 = 6.75 inches

Now, we'll calculate the circumferences using the given value for π:

Poppy's circumference = 2 x 3.14 x 6.25 ≈ 39.25 inches

Sister's circumference = 2 x 3.14 x 6.75 ≈ 42.39 inches

Difference = Sister's circumference - Poppy's circumference

Difference = 42.39 - 39.25 = 3.14 inches

Find out more on wire at https://brainly.com/question/29205033

#SPJ1

Answer:

yes it is true

Step-by-step explanation:

i see a triangle on your screen

Answer:

Therefore, we have proven that the product of two numbers is equal to the product of their least common multiple and their greatest common divisor.

Step-by-step explanation:

let's say we have two numbers, a and b. We can write the following:

a = m * d

b = n * d

The LCM of a and b is given by:

LCM(a, b) = m * n * d

a * b = (m * d) * (n * d)

a * b = m * n * d * d

a * b = m * n * (d * d)

a * b = m * n * LCM(a, b)

Therefore, we have proven that the product of two numbers is equal to the product of their least common multiple and their greatest common divisor.

Learn more about Discrete Mathematics.

https://brainly.com/question/32655962

#SPJ11

The equation of the axis of symmetry for y = -x² - 5x is x = -2.5.

To find the equation of the axis of symmetry for the parabola y = -x² - 5x, we can use the formula

x = -b / 2a

where a is the coefficient of the x² term and b is the coefficient of the x term.

In this case, a = -1 and b = -5, so we have

x = -(-5) / 2(-1)

x = 5 / -2

x = -2.5

Therefore, the equation of the axis of symmetry for the parabola y = -x² - 5x is

x = -2.5

To know more about axis of symmetry:

https://brainly.com/question/22495480

#SPJ4

Answer:

-20x       87y

Step-by-step explanation:

Safety data sheets (SDS) are not only required when there are 10 gallons. This statement is false. SDS, also known as material safety data sheets (MSDS), are required for hazardous substances, regardless of the quantity.

Safety data sheets provide detailed information about the potential hazards, handling, and emergency measures for substances. They are required under various regulations, such as the Occupational Safety and Health Administration (OSHA) Hazard Communication Standard (HCS) in the United States.

The quantity of the substance does not determine the need for an SDS. For example, even if a small amount of a highly hazardous substance is present, an SDS is still necessary for safety reasons.

SDS help workers and emergency personnel understand the risks associated with a substance and how to handle it safely. It is essential to follow proper safety protocols and provide SDS for hazardous substances, regardless of the quantity.

To know more about Protocols visit.

https://brainly.com/question/28782148

#SPJ11

First, we want to note two things:

We can describe this with an inequality:  x ≥ -10
Be sure you use ≥ and not >, since -10 is included.

We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.

You can also use set-builder notation: { x | x ≥ -10 }

The value of x for which (f - g)(x) = 0 is x = 12.

To find the value of x for which (f - g)(x) = 0, we need to subtract g(x) from f(x) and set the resulting expression equal to zero. Let's perform the subtraction:

(f - g)(x) = f(x) - g(x)

= (16x - 30) - (14x - 6)

= 16x - 30 - 14x + 6

= 2x - 24

Now, we can set the expression equal to zero and solve for x:

2x - 24 = 0

Adding 24 to both sides:

2x = 24

Dividing both sides by 2:

x = 12

Therefore, the value of x for which (f - g)(x) = 0 is x = 12.

Know more about the expression click here:

https://brainly.com/question/15034631

#SPJ11

Answer: 32

Step-by-step explanation:

5+3*(5-2)^2

5+3*(3)^2

5+3*9

5+27

32

Answer:

32

Step-by-step explanation:

5 + 3 * (5 - 2)^2

5 + 3 * 3^2

5 + 3 * 9

5 + 2

= 32

The mode of a dataset is the value that appears most frequently. In this case, we need to find the interval of rainfall that occurs most frequently.

From the given data, we can see that the interval "less than 0.01 inch" has the highest frequency with 165 days. Therefore, the mode of this dataset is "less than 0.01 inch"

Effective communication is crucial in all aspects of life, including personal relationships, business, education, and social interactions. Good communication skills allow individuals to express their thoughts and feelings clearly, listen actively, and respond appropriately. In personal relationships, effective communication fosters mutual understanding, trust, and respect.

In the business world, it is essential for building strong relationships with clients, customers, and colleagues, and for achieving goals and objectives. Good communication also plays a vital role in education, where it facilitates the transfer of knowledge and information from teachers to students.

Moreover, effective communication skills enable individuals to engage in social interactions and build meaningful connections with others. Therefore, it is essential to develop good communication skills to succeed in all aspects of life.

Learn more about dataset here:

https://brainly.com/question/26468794

#SPJ11

Answer:  x = 12

Step-by-step explanation:

1) Convert mixed numbers into improper fractions: \(21\frac{2}{3} =\frac{21*3+2}{3} =\frac{65}{3}\)

New equation written as: \(\frac{5}{3}x+\frac{1}{3}x=\frac{65}{3}+\frac{7}{3}\)

2) \(\frac{5}{3}x+\frac{1}{3}x=\frac{65+7}{3}\)

3) Add the numbers 65 + 7 = 72: \(\frac{5}{3}x+\frac{1}{3}x=\frac{72}{3}\)

4) Divide 72/3 = 24: \(\frac{5}{3}x+\frac{1}{3}x=24\)

5) Multiply both sides by 3. Note: * = multiply: \(\frac{5}{3}x*3+\frac{1}{3}x*3=24*3\)

6) Simplify: 6x = 72

7) Divide both sides by 6: \(\frac{6x}{6}=\frac{72}{6}\)

x = 12

Answer:

Let ac=ab=5

With this, bc= 5√2

Step-by-step explanation:

So to find ad, Let ad be x

5√2=(2)(x)

(5√2/2)= x

This proves that bc=2ad

Answer:

81

Step-by-step explanation:

9x + 100 = 829

9x =829-100

= 729

x = 729/9

x = 81

Answer: x = 81

Step-by-step explanation:

You'd want to isolate x, meaning subtracting 100 on both sides to remove that from the equation. This results in 9x = 729, divide by 9 on both sides to remove that too from the equation and you'd be left with x = 81.

The region R is bounded by the curves y = x^2 − 1 and 2x = y + 1. To set up the integral in two different ways, we can use vertical cross sections (VCS) and horizontal cross sections (HCS).

For VCS, we can integrate with respect to x. First, we need to find the intersection points of the two curves. Setting y = x^2 − 1 and 2x = y + 1 equal to each other, we get:

x^2 − 1 = 2x + 1

x^2 − 2x − 2 = 0

Using the quadratic formula, we find that x = 1 ± √3. Therefore, the integral with respect to x is:

∫[1-√3, 1+√3] (2x + 1) - (x^2 − 1) dx

For HCS, we can integrate with respect to y. First, we need to find the intersection points of the two curves in terms of y. Solving for x in both equations, we get:

x = √(y + 1) and x = (y + 1)/2

Setting these equal to each other, we find that y = -1 ± 2√3. Therefore, the integral with respect to y is:

∫[-1-2√3, -1+2√3] (√(y + 1)) - ((y + 1)/2) dy

Both of these integrals represent the area of the region R bounded by the curves y = x^2 − 1 and 2x = y + 1, but they are set up in two different ways using vertical and horizontal cross sections.

To know more about cross sections refer here:

https://brainly.com/question/29589203

#SPJ11

Using simple mathematical operations, we know that Adalyn can purchase 14 cans if she spends no more than $30.

An operation is a function in mathematics that transforms zero or even more input values into a clearly defined output value.

The firm's arity is influenced by the number of operands.

Most people believe that addition, subtraction, multiplication, and division are the four basic operations in mathematics.

So, we know that:

Money =30 + 3 = 33

Price per can 2.25.

Then, she can buy:

33/2.25 = 14.67

Round off to 14 cans.

Therefore, using simple mathematical operations, we know that Adalyn can purchase 14 cans if she spends no more than $30.

Know more about mathematical operations here:

https://brainly.com/question/28937023

#SPJ1

Answer:

Yessss

Step-by-step explanation:

I'm onlineeeee

Answer:

2^6*2^-8

Step-by-step explanation:

Answer:

Irrational.

Step-by-step explanation:

0=(x+4)^2-7

(x + 4)^2 = 7

Taking square roots:

x + 4  =  ±√7

x = -4 ±√7

The statement is True: the null space of a is the solution set of the equation ax = 0.

The collection of all solutions to the homogeneous equation makes up a matrix's null space. Any matrix's null space contains the zero vector at all times. The null space is denoted as Null A.

We know that The null space of an m × n matrix A, written as Nul A, is the set of all solutions to the homogeneous equation Ax = 0.

Hence, the statement is True: the null space of a is the solution set of the equation ax = 0.

Learn about matrix here:

https://brainly.com/question/28180105

#SPJ4

Answer:

11:

since diagonal are equal of rectangle

QS=RT

4x+6=6x-4

6+4=6x-4x

2x=10

x=10/2

x=5

now

diagonal :4x+6=4*5+6=26

12.

again

QS=RT

9x+12=11x-10

12+10=11x-9x

2x=22

x=11

now

diagonal=9*11+12=99+12=111

The first quartile of the data set represented by the box plot is 12.

The median of the data set is 16.

We have,

The box plot is drawn using five summary statistics: minimum, maximum, median, and the first and third quartiles.

The box in the plot represents the middle 50% of the data, with the lower end of the box representing the first quartile (Q1) and the upper end representing the third quartile (Q3).

The median is shown as a line inside the box.

From the box plot,

Median = 16

First quartile = 12

Third quartile = 19

Lowest value = 9

Largest value = 24

Thus,

The first quartile of the data set represented by the box plot is 12

The median of the data set is 16.

Learn more about the quartiles  here:

https://brainly.com/question/29204101

#SPJ1