Write out work showing the percent proportion set up.

Answer:

Step-by-step explanation:

The period of a simple pendulum is

T = 2π√(L/g)

as going from zero velocity to max velocity takes 1/4 of a period

t = ¼(2π)√(L/g)

t = ½π√(L/g)

t = ½π√(0.864/9.81)

t = 0.466 s

Answer: Becky I guess

Step-by-step explanation:

Answer:

\(\frac{y}{x^2}+\frac{y}{x^3}=\frac{yx+y}{x^3}\)

Step-by-step explanation:

Given the expression

\(\frac{y}{x^2}+\frac{y}{x^3}\)

Let us perform the operation and express your answer as a single fraction​

\(\frac{y}{x^2}+\frac{y}{x^3}=\frac{x^3y+x^2y}{x^5}\)

            \(=\:\frac{x^2\left(xy+y\right)}{x^5}\)

            \(=\frac{\left(xy+y\right)}{x^3}\)

Therefore, we conclude that:

\(\frac{y}{x^2}+\frac{y}{x^3}=\frac{yx+y}{x^3}\)

Answer:

0 1 2 3

Step-by-step explanation:

Since n is an integer

We have n = { 0 1 2 3 }

Answer:

right triangles

The weight of large box will be 45 pounds.

The weight of small box will be 30 pounds.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The combined weight of a large box and a small box is 75 pounds.

And, The truck is transporting 55 large boxes and 70 small boxes.

Total weight of boxes = 4575 pounds

Now,

Let weight of large box = x

And, Weight of small box = y

Here, The combined weight of a large box and a small box is 75 pounds.

So, We can formulate;

⇒ x + y = 75   ...(i)

And, Total weight of boxes = 4575 pounds

So, We can formulate;

⇒ 55x + 70y = 4575   ...(ii)

Solve both equation as;

From (i);

x = 75 - y

Substitute in equation (ii), we get;

⇒ 55(75 - y) + 70y = 4575

⇒ 4,125 - 55y + 70y = 4575

⇒ 15y = 4575 - 4,125

⇒ 15y = 450

⇒ y = 30

And, x = 75 - 30 = 45

Thus, The weight of large box will be 45 pounds.

The weight of small box will be 30 pounds.

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Answer

All real numbers or (-∞, ∞)

Step-by-step explanation:

There aren't any X values that can make this linear equation output an invalid results, so we can deduce that the domain is all x values.

Answer:

All Real Numbers

Step-by-step explanation:

The Domain for a function simply is all the possible x values.

When graphing this function, you'll realize that it's continuous and passes all x values.

Additionally, when looking at it, you'll realize you can input any number of your choosing.

When trying to evaluate the domain of other functions, you can look at if any values of x will create an undefined value.

For example, some functions may have x in the denominator, and since the denominator can not be 0, there will be a discontinuity.

Other examples where the domain wouldn't be all real numbers would be if x was under a square root and couldn't be negative, or if the function was a vertical line.

Hope that helps, please let me know if you have any queries.

Explanation:

I'm assuming you meant to write 1/5 instead of 1:5

Add up all the fractions

1/4 + 3/8 + 1/10 + 1/5

20/80 + 30/80 + 8/80 + 16/80

(20+30+8+16)/80

74/80

37/40

He spends 37/40 of his income on rent, foot, clothes, insurance and other items combined.

Subtract this from 1 to find the fraction of his income he saves

1 - 37/40

40/40 - 37/40

(40-37)/40

3/40

He saves 3/40 of his monthly income.

(3/40)*8480 = 636 dollars is the amount saved every month.

Answer:

x=82

Step-by-step explanation:

Step 1: Cross-multiply.

Step 2: Divide both sides by 19.

x/38=41/19

Answer:

= 4.32 × 10^6

(scientific notation)

= 4.32e6

(scientific e notation)

= 4.32 × 10^6

(engineering notation)

(million; prefix mega- (M))

= 4320000

(real number)

Hence number using scientific notation is 4.32*\(10^{6}\)

When a number between 1 and 10 is multiplied by a power of 10, it is written in scientific notation. 650,000,000, for example, can be expressed as 6.5 108 in scientific notation. Sal Khan and the CK-12 Foundation collaborated on this project.

Given   4,320,000 which can be broken in 432*10000

Which can be written as 432*\(10^{4}\)

432 can be written as 4.32*100*\(10^{4}\)=4.32*\(10^{6}\)

Hence number using scientific notation is 4.32*\(10^{6}\)

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Finding the distance between the two points and applying the proportion, it is found that the distance between the two memorials is of 1,42 miles.

----------------

The distance between two points \((x_1,y_1)\) and \((x_2,y_2)\) is of:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Thus, in the coordinate grid, the distance is of:

\(D = \sqrt{(7 - 3)^2+(-5 - (-1))^2} = \sqrt{4^2 + 4^2} = \sqrt{32} = 5.66\)

\(D_m = 5.66(0.25) = 1.42\)

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Answer:

Hello,

answer D 48°

Step-by-step explanation:

In the right triangle down, a+42°=90° ==> a=90°-42°=48°

Answer:

  3

Step-by-step explanation:

Given the LCM of 18 and 21 is 126, you want the HCF.

The relation between two numbers, their LCM and HCF is ...

  LCM(A, B) = A·B/HCF(A, B)

Then the HCF is ...

  HCF(A, B) = A·B/LCM(A, B) = 18·21/126 = 3

The highest common factor is 3.

__

Additional comment

By Euclid's algorithm, 21 mod 18 = 3; 18 mod 3 = 0, so 3 is the HCF.

Here,

LCM = 126

Two number is = 18 and 21

We have to find -

Now,

We know that,

\( \large \bf \: HCF = \frac{Product \: of \: two \: number \:}{HCF} \)

Putting the values

→ 18 × 21 / 126

→ 18 / 6

→ 3

Thus,

Hope it helpfull !

\( \rule{190pt}{4pt}\)

To construct a frequency histogram based on the given temperature data, we will use the temperature ranges as the x-axis and the number of days as the y-axis.

The temperature ranges and their corresponding frequencies are as follows:

30-39: 2 days

40-49: 26 days

50-59: 28 days

60-69: 8 days

70-79: 2 days

To create the histogram, we will represent each temperature range as a bar and the height of each bar will correspond to the frequency of days.

Using an appropriate scale, we can label the x-axis with the temperature ranges (30-39, 40-49, 50-59, 60-69, 70-79) and the y-axis with the frequency values.

Now, we can draw rectangles (bars) on the graph, with the base of each rectangle corresponding to the temperature range and the height representing the frequency of days. The height of each bar will be determined by the corresponding frequency value.

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Answer:

A is the correct one

Because it can be divided by 1 and by itself

Answer:

The answer will be 107 which is the letter A

Step-by-step explanation:

A prime number is a whole number greater than 1

Answer: C

Step-by-step explanation: I got it right

9514 1404 393

Answer:

  106.55 miles

Step-by-step explanation:

The number of miles driven on the third day will be the total number of miles less the miles driven on the other two days.

  320.7 -118.75 -95.4 = 106.55

Joan must have driven 106.55 miles on the third day.

The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

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There is no point that is NOT included in the graph of the step function.

The coat check service charges $2 for the first hour and $1 for each additional hour or fraction of an hour.

To determine the point that is NOT included in the graph of the step function, we need to consider the charging scheme and analyze the pattern of charges.

The step function can be represented as follows:

For the first hour, the charge is a flat rate of $2.

For each additional hour or fraction of an hour, the charge is $1.

Let's analyze the points included in the graph:

(1, 2): This point represents the charge for the first hour, which is $2.

Now, let's consider the additional hours:

2. (2, 3): This point represents the charge for 2 hours, which is $2 for the first hour and $1 for the additional hour.

(3, 4): This point represents the charge for 3 hours, which is $2 for the first hour and $2 for the additional 2 hours.

(4, 5): This point represents the charge for 4 hours, which is $2 for the first hour and $3 for the additional 3 hours.

Based on the charging scheme, we can observe a pattern where the charge increases by $1 for each additional hour or fraction of an hour.

Since the charging scheme allows for any additional hour or fraction of an hour, there is no specific point that is excluded from the graph. Any positive value of x greater than or equal to 1 will have a corresponding point on the graph.

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Answer:

its -3h,-2h,6h

Step-by-step explanation:

hope i helped

Answer:

0.5+8

Step-by-step explanation:

The slope intercept form is mx+b

Mx is the slope

b is the y intercept

The slope formula is y2-y1/x2-x1

2 points to find the slope:

(2,9) (4,10)

10-9=1

4-2=2

1/2=0.5

The y-intercept is the number that goes through the number line when x equals 0. The y intercept is 8.

The vertex of the absolute value graph given by; f(x) = - | 0.75x + 1.5 | as required is; ( -1.5, 0).

It follows from the task content that the graph of the absolute value graph defined by the given equation is to be determined.

According to the task content; the given absolute value equation is;

f(x) = - | 0.75x + 1.5 |

Hence, by comparison with the standard absolute value equation; f(x) = a | x - h | + k where the vertex is; (h, k).

Therefore, h = -1.5 and k = 0.

On this note, the required vertex of the graph is; (-1.5, 0).

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Answer:

2/1

Step-by-step explanation:

20/10 devided by 10 to both numbers

Answer:

Pretty sure it's B 234

Step-by-step explanation:

Starting point:

A=(-4 , -8)

Final point:

B= (10 , 6)

First we have to substract the first x-value from the second, we will get:

10- (-4)=14

Now, substracting the first y-value form the second:

6 - (-8)= 6+8= 14

Since both legs are the same, this makes a triangle isoceles, this is because the slope of our line is 1

Now, we have to multiply the lenght of each leg by 3/10:

Remember that both length are the same. Therefore, we have to add 4.2 to -4 and -8 to find the coordinates of the point 3/10 of the way from A to B:

Answer: The coordinates are (0.2 , -3.8).

Answer:

what is the question? where is the diagram?

Answer:

1.

\(midpoint = ( \frac{ - 4 + 6}{2} , \: \frac{ - 12 + 8}{2} ) \\ = (1, \: - 2)\)

2.

\(distance = \sqrt{ {( - 4 - 6)}^{2} + {( - 12 - 8)}^{2} } \\ = \sqrt{500} \\ = 22.4 \: units\)