A decimal is never a rational number

True
False

Answer:

could you show the answers

Step-by-step explanation:

= 1/6 mi + 4/9mi

= 9 + 24

54

=33/54mi

= 9.444444...

Answer:

2x

Step-by-step explanation:

5, 10, 20, 40, 80

each step is multiplying by 2, therefore the sequence is 2x

Answer:

A. the angular speed is 3771.4 rad/min

b. 5921 rpms

Step-by-step explanation: I just got this same question right on a test.

Answer:

Step-by-step explanation

In this problem. we are required to re-write the given number from  scientific notation to standard notation and from standard notation to scientific notation

Exercise a

5.32 x 10-6 meters.

Since we have  10-6, this tells us that we are meant to shift 6 decimal points to the left that is we have

0.00000532 meters

Exercise b

In this example, we are expected to shift 5 decimals away from the decimal point to the right to arrive at the answer therefore we have to multiply by 10^5

hence the equivalent figure in scientific notation is   1.21*10^5 hence

121,000 meters.

1.21*10^5 meters

A, B, and C are all true equations. D and E are not true equations.

An equation is a mathematical expression that uses symbols, such as numbers and variables, to represent a relationship between two or more values or quantities. Equations are used to describe physical laws, solve problems and to make predictions. Equations are fundamental to all areas of mathematics and science, and their use is essential for understanding.

A. 3 4 − 1 2 = 1 4
B. 9 16 − 4 8 = 5 8
C. 7 8 − 3 4 = 1 8
E. 1 2 − 1 20 = 10 20

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Answer:

8

Step-by-step explanation:

4 + 4 = 8

4 x 2 = 8

hope this helps

Answer:

answer is 8 because 4+4 =8 and 2+2+2+2 =8

The concept given is Graphs. A graph is a chart showing the relationship between magnitudes of variables, usually two variables, each measured along a pair of orthogonal axes.

Charts and tables are powerful visual tools because they present information quickly and easily. that graphics are commonly used in print and electronic media.

Sometimes data is easier to understand in a chart than in a table because a chart can show a trend or comparison.

A) bar graph and pie chart.

B) histogram, stem plot, and box plot.

C) histogram, stem plot, and box plot.

D) time plot.

E) bar graph and pie chart.

F) normal quantile plot.

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Answer:

8.1 inches

Step-by-step explanation:

Area of a triangle = ½ × base × height = Area

Rearranged =

\( \frac{area}{ \frac{1}{2} \times height} \)

Base is the length by the way.

\( \frac{8.91}{ \frac{1}{2} \times 2.2 } \)

=8.1 inches

Answer:

Then answer is 8.1 inches ;)

Results:

Compound Interest (CI) = 27,280

Total Amount = 47,280

We shall calculate Compound Interest using the formula:

Compound Interest: CI = P * \((1 + r/n)^{nt}\) - P  

Where:

P = Principal amount

r = Rate of interest (in decimal)

n = The compounding periods in a year

t = Time (in years)

Given:

Principal (P) = 20,000

Rate of interest (R) = 800% = 8 (in decimal)

Time (t) = 12 seconds

Compounding frequency = every 3 seconds

We need to calculate the rate of interest in decimal and the number of compounding periods in a year.

Rate of interest (r) = R/100 = 8/100 = 0.08

Compounding frequency (n) = 1 / (compounding period in seconds) = 1 / 3 = 0.3333

CI = 20,000 * \((1 + 0.08/0.3333)^{0.3333*12}\) - 20,000

CI = 20,000 * \((1 + 0.24)^{3.9996}\) - 20,000

CI = 20,000 * \(1.24^{3.9996}\) - 20,000

CI = 20,000 * 2.364 - 20,000

CI = 47,280 - 20,000

CI = 27,280

So, the compound interest after twelve seconds = 27,280.

To calculate the total amount after 12 seconds, we can use the formula:

Total Amount = Principal + Compound Interest

Total Amount = 20,000 + 27,280

Total Amount = 47,280

Therefore, the total amount after 12 seconds = 47,280.

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Answer:

Step-by-step explanation:

To simplify the expression 3 x (3/4) whole to a unit fraction, we can start by multiplying the whole number 3 by the denominator of the fraction, which is 4:

3 x (3/4) = (3 x 4)/4 x (3/4) = 12/4 x 3/4

We can simplify the fraction 12/4 by dividing both the numerator and denominator by 4:

12/4 = 3

Substituting this back into the expression, we have:

3 x (3/4) = 3/1 x (3/4) = 9/4

Therefore, 3 x (3/4) whole is equal to the unit fraction 9/4.

Answer:

30 and 50

Step-by-step explanation:

its simple if you cant figure it out then drop out

The number of books that each shelf hold will be 326 per shelf.

From the information, the first bookshelf in the fantasy section of a library can hold 1,635 books, the bookshelf has 5 shelves and each shelf can hold the same number of books.

Let the number of books in each shelf be x.

Therefore, the equation will be:

(5 × x) = 1635

5x = 1635

Divide

x = 1635 / 5

x = 327

The number of books is 327.

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Answer:

Step-by-step explanation:

The factors of the given expression are ...

  6ir +15i +8r +20 = (3i +4)(2r +5)

Which factor is current and which is resistance is not clear. Usually, resistance is referred to using the variable r, so we suppose the expressions are supposed to be ...

  resistance: (2r +5)

  current: (3i +4)

Answer: (2,-1)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The rule for a rotation by 270° about the origin is:

Apply the rule to the point A, which has coordinates of (2, 1)

Answer:

perimeter: 2

Step-by-step explanation:

8x-3 = 6x

8x – 6x = 3

2x = 3

x = 3/2

The required algebraic expression that represents the difference between the perimeter of Tamara's suitcase and the perimeter of Anna's suitcase is 5x - 5.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
The difference between the perimeter of Tamara's suitcase and Anna's suitcase can be found by subtracting the expression for the perimeter of Anna's suitcase from the expression for the perimeter of Tamara's suitcase:

(8x - 3) - (3x + 2)

Simplifying the expression by removing the parentheses and combining like terms, we get:

8x - 3 - 3x - 2

= 5x - 5

Therefore, the algebraic expression that represents the difference between the perimeter of Tamara's suitcase and the perimeter of Anna's suitcase is 5x - 5.

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By interpreting the vertex form of the equation of parabola, the focus of the curve is equal to F(x, y) = (2, 0). (Correct choice: D)

In this problem we find the equation of a parabola in standard form, which has to be rearranged into its vertex form in order to determine the coordinates of its focus.

The focus of a parabola is a point outside the curve such that the least distance from any point of the parabola and the least distance between that the point on the parabola and directrix are the same.

First, rearrange the polynomial into its vertex form by algebraic handling:

y = (1 / 8) · (x² - 4 · x - 12)

y + (1 / 8) · 16 = (1 / 8) · (x² - 4 · x - 12) + (1 / 8) · 16

y + 2 = (1 / 8) · (x² - 4 · x + 4)

y + 2 = (1 / 8) · (x - 2)²

y + 2 = [1 / (4 · 2)] · (x - 2)²

Second, determine the vertex and the distance between the vertex and the focus:

The parabola has a vertex of (h, k) = (2, - 2) and vertex-to-focus distance of 2.

Third, determine the coordinates of the focus:

F(x, y) = (h, k) + (0, p)

F(x, y) = (2, - 2) + (0, 2)

F(x, y) = (2, 0)

The focus of the parabola is equal to F(x, y) = (2, 0).

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The rate of change in the total amount charged with respect to the time spent on the service call is $40 per hour.

The mathematical concept of rate of change describes how much one quantity changes in relation to another. It is calculated as the difference between the change in the output (the dependent variable) and the change in the input (independent variable).

The rate of change, in other words, informs us of how quickly or slowly something is changing through time or in relation to another variable. When tracking the distance an automobile travels over time, for instance, the rate of change would be the car's speed, which is calculated as the distance traveled divided by the time required.

Slope, which is the ratio of the vertical change (rise) to the horizontal change (run) between two points on a graph, is a common way to depict the rate of change. The rate of change of the dependent variable with respect to the independent variable is depicted by the slope of a straight-line graph.

The rate of change in the total amount charged with respect to the time spent on the service call represents the slope of the graph. We can find the slope of the graph by taking any two points on the line and calculating the change in y (total amount) divided by the change in x (time spent on the service call).

Looking at the graph, we can choose two points: (2, 130) and (8, 370). The change in y is:

370 - 130 = 240

And the change in x is:

8 - 2 = 6

Therefore, the slope (rate of change) of the graph is:

240/6 = 40

So the rate of change in the total amount charged with respect to the time spent on the service call is $40 per hour.

Therefore, the correct option is $40 per hour.

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The equation in general form for the total amount spend on tickets is  13A + 10C = 859 and if the number of adults was 53, the  number of children was 17.

A linear equation in two variable has the general form as y = ax + by + c, where a, b and c are integers and a, b ≠ 0.

It can be represented as a straight line on a graph.

Given that,

The cost of each ticket for an adult is $13,

The cost of each ticket for an child $10,

And, the total amount spend on tickets is $859.

Suppose the number of adult tickets be A and the number of child tickets be C.

Then the amount spend on tickets for adults is 13A,

And, the amount spend on tickets for children is 10C.

As per the question the equation for total amount spend on tickets is given as,

13A + 10C = 859

Now if the number of adults was 53, the number of children can be calculated by substituting A = 53 in the above equation as,

13 × 53 + 10C = 859

⇒ 10C = 859 - 689

⇒ 10C = 170

⇒ C = 17

Hence, the equation in general form for the given situation is 13A + 10C = 859 and if the number of adults was 53, the  number of children was 17.

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Answer:

Step-by-step explanation:

parallel line y=12x+c

put this point A(2,7)

7=12*2+c

c=-17

so the equation is y=12x-17

now put the point B

k=12*5-17

k=43

Answer:

152 cm²

Step-by-step explanation:

Answer:

\(\pm24\)

Step-by-step explanation:

To find the geometric mean of two numbers, you find their product and then take the square root of that product:

\(GM=\sqrt{16*36}=\sqrt{576}=\pm24\)

the simplest fοrm οf the given expressiοn is - (1+3/ 2ˣ).

Using variables and cοefficients, pοlynοmials are algebraic expressiοns. The term "indeterminates" is sοmetimes used tο describe variables. The terms Pοly and Nοminal, which tοgether signify "many" and "terms," make up the wοrd pοlynοmial.

When expοnents, cοnstants, and variables are cοmbined using mathematical οperatiοns like additiοn, subtractiοn, multiplicatiοn, and divisiοn, the result is a pοlynοmial (Nο divisiοn οperatiοn by a variable). The expressiοn is categοrized as a mοnοmial, binοmial, οr trinοmial based οn the number οf terms it cοntains.

\(2^x +3 /-2^x\)

divide by  \(2^x\)

(1+3/ 2ˣ)  /  (1)

- (1+3/ 2ˣ).

Hence the simplest form of the given expression is - (1+3/ 2ˣ).

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Answer:tnaks fror the points

Step-by-step explanation:

Answer:

57 x 457 x 4.3 = 10 x (5.7 x 4.3) = 10 x 24.51 = 245.1

Step-by-step explanation:

If we look closely at the two equations you will see the following...

57 x 4.3 = 10 x (5.7 x 4.3)

(Since we know what 5.7 x 4.3 equals to we just substitute the value of 24.51 and get...)

57 x 4.3 = 10 x 24.51

57 x 4.3 = 245.1

An autonomous differential equation with equilibrium solutions at y=0 and y=3, and y' > 0 for 0 < y < 3 and y' < 0 for -inf < y < 0 and 3 < y < inf is dy/dx = 3y(1-y).

An autonomous differential equation is a type of ordinary differential equation that does not depend on any other variable but time. It has a single variable, usually denoted as y, and a single independent variable, usually denoted as t or x. An autonomous differential equation with equilibrium solutions at y=0 and y=3, and y' > 0 for 0 < y < 3 and y' < 0 for -inf < y < 0 and 3 < y < inf is dy/dx = 3y(1-y). This equation will have two equilibrium solutions at y=0 and y=3. The derivative of the equation, y’, is greater than 0 for 0 < y < 3, which means that the equation is increasing in this range. The derivative of the equation is less than 0 for -inf < y < 0 and 3 < y < inf, which means that the equation is decreasing in this range. This equation is a type of logistic equation and is often used to model population growth. It is also used to describe other phenomena such as the spread of an epidemic or the number of species in an ecosystem. Using the initial conditions y(0) = 2 and y(1) = 3, we can calculate the values of y at other time points using the equation dy/dx = 3y(1-y). At t=0.5, the value of y is y(0.5) = 2.5; at t=1.5, the value of y is y(1.5) = 2.875; and at t=2.5, the value of y is y(2.5) = 2.9375.

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Answer:

376

Step-by-step explanation:

•————•

X W

This is called as line segment XW. The 2 dots at the ends indicate that the line segment has a starting point & an end point.

______

RainbowSalt2222 ☔

f(0) is equal to 4 in this graph.

You probably have seen the equation \(y=mx+b\) at some point. f(x) is another way to express y. Essentially, f(x) represents the output you will get from an equation when a number equals x.

In this case, the input is 0, hence why it is notated as f(0). When x is at 0, y is at a value of 4. To further illustrate, f(3) is equal to 3, as with an input (x) of 3, the y value sits at 3, which means the output is 3.