theories of relativity

The perimeter of television is = 100 inches

The study of measuring geometric shapes and their qualities such as length, volume, shape, surface area, lateral surface area, and so on is known as mensuration. Mensuration will be covered in fundamental mathematics.

let the length be 16x and width be 9x

area given = 576 sq. inches

16x * 9 x = 576

144 \(x^{2}\) = 576

x = 24/12

x = 2

length = 32

width = 18

perimeter = (32 + 18)*2  =100 inches

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-0.477  is the value of log 1 by 3 .

A logarithm is defined simply?

The logarithm represents the power to which a number must be raised to obtain another number (see Section 3 of this Math Review for more about exponents).

For instance, since ten raised to the power of two equals 100, the base ten logarithm of 100 is 2: log 100 = 2.

log (1/3)

= log1 - log3

= 0 - 0.477

 = -0.477

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Mr. Adams divides 183 markers equally among the 24 students in his class. To find the least number of extra markers in the box, divide the total markers (183) by the number of students (24). The result is 7 with a remainder of 15. So, the least number of extra markers in the box is 15.

Mr. Adams divides 183 markers equally among the 24 students in his class, which means each student gets 7 markers. However, since 7 does not divide evenly into 183, there will be some markers left over. To determine the least number of extra markers in a box, we need to find the remainder when 183 is divided by 24.
Using long division, we get:

   24 | 183
       -----
         7  6
         -----          
This means that there are 6 markers left over that Mr. Adams puts in a box. Therefore, the least number of extra markers in a box is 6.
Mr. Adams divides 183 markers equally among the 24 students in his class. To find the least number of extra markers in the box, divide the total markers (183) by the number of students (24). The result is 7 with a remainder of 15. So, the least number of extra markers in the box is 15.

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Answer: 100 to 200 mm

Step-by-step explanation:

Answer:

B. 4 steps

Step-by-step explanation:

\(84 \div 21 = 4\)

84 snacks

21 friends

how many snacks each of her friend gets.

\( \frac{84}{21} \)

\( = 4\)

hence, each of her friend will get 4 snacks.

answer= option B

Given :-

\( \\ \\ \)

To find :-

\( \\ \\ \)

We know. :-

\( \boxed{ \rm Area_{(triangle)}= \frac{1}{2} \times base \: \times heigt}\)

\( \\ \)

By using this formula we can find base of triangle.

\( \\ \\ \)

So:-

\( \dashrightarrow\sf Area_{(triangle)}= \frac{1}{2} \times base \: \times heigt \\ \)

\( \\ \\ \)

\( \dashrightarrow\sf 10.6= \frac{1}{2} \times base \: \times 4\\ \)

\( \\ \\ \)

\( \dashrightarrow\sf 10.6= \frac{1}{ \cancel2} \times base \: \times \cancel4\\ \)

\( \\ \\ \)

\( \dashrightarrow\sf 10.6= \frac{1}{1} \times base \: \times 2\\ \)

\( \\ \\ \)

\( \dashrightarrow\sf 10.6 = base \: \times 2\\ \)

\( \\ \\ \)

\( \dashrightarrow\sf base \: \times 2 = 10.6 \\ \)

\( \\ \\ \)

\( \dashrightarrow\sf base= \frac{10.6}{2} \\ \)

\( \\ \\ \)

\( \dashrightarrow\bf base= 5.3 \: cm \\ \)

The effect of the slower speed is paul would be late by 10 minutes.

Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.

Here,
Paul planned a 160-mile trip and assumed he would travel at an average rate of 50 miles per hour.
Estimated time = 160 / 50 = 3.2 hours

After 2 hours at his planned rate of travel, traffic slowed and he was only able to travel 40 miles per hour for the remainder of the trip.

Actual time = 2 + [160 - 2×50]/40
Actual time = 3.5 hours

Thus, the effect of the slower speed is paul would be late by 10 minutes.

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Answer:

(x-5)^2

Step-by-step explanation:

Answer:

a negative integer

Step-by-step explanation:

We can first establish basic rules that we can apply:

the product of one negative integer:

-1 = -1

(odd number = negative)

the product of two negative integers:

-1 · -1 = 1

(even number = positive)

the product of three negative integers:

-1 · -1 · -1 = 1   {-1 · -1 = 1, 1 · -1 = -1}

(odd number = negative)

the product of four negative integers:

-1 · -1 · -1 · -1 = 1

(even number = positive)

So, we can understand that an even number of integers changes the original value to its negative/positive [the opposite +/- sign from the original number], whilst an odd number of integers does not change the +/- sign.

So, because 23 is an odd number, the product will stay negative.

The constraint that is NOT valid is " \(y > = 5x + 30\) "

To determine the constraints, we analyze the given information. The farmer has a 500-acre farm, and she wants to optimize her planting strategy for wheat and corn. Each acre of wheat requires 1 person-day of labor and $20 in expenses, while each acre of corn requires 5 person-days of labor and $30 in expenses. The farmer has a budget of $11,400 and 1480 person-days of labor available.

To maximize profit, we consider the profit per acre for each crop, which is $90 for wheat and $120 for corn. Let x represent the acres of wheat and y represent the acres of corn.

The constraints are as follows:

By considering these constraints, the farmer can determine the optimal combination of wheat and corn planting to maximize profit while adhering to resource limitations.

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If the contractor's truck can haul 17 cubic yards per load, then 21 truckloads are needed.

Earth removed from a building site is 357 cubic yards.

A contractor's truck can haul 17 cubic yards per load.

To find how many truckloads were needed, we needed to divide the earth removed from the building site by the contractor's truck capable of hauling.

That is,  

The number of truckloads = earth removed from the building site/contractors' truck capable of hauling.

The number of truckloads = 357 cubic yards/17 cubic yards per load

The number of truckloads = 21 truckloads.

Therefore, the required truckloads are 21.

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Answer:

96 inches

Step-by-step explanation:

1:24

4:x

cross multiply:

x=4*24

x=96

Answer:

\(\boxed {39}\)

Step-by-step explanation:

-Solve the following expression when \(a = 4\) and \(b = 5\):

\(a - 7b\)

-Apply both the value of \(a\) and \(b\) to the equation:

\(4 - 7(5)\)

-Simplify:

\(4 - 7(5)\)

\(4 - 35\)

\(\boxed {39}\)

Therefore, the answer is \(39\).

The measure of ∠angle B when Angle C is inscribed in circle O and AB is a diameter of circle O, is 19 degrees.

According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees.

In the image attached below:

The measure of the angle A is,

\(m\angle A=71^o\)

The measure of the angle C in a semicircle is,

\(m\angle C=90^o\)

The sum of all the angle(interior) of a triangle is equal to the 180 degrees. Thus,

\(\angle A+\angle B+\angle C=180\\90+\angle B+71=180\\\angle B=180-90-71\\\angle B=19^o\)

Thus, the measure of ∠angle B when Angle C is inscribed in circle O and AB is a diameter of circle O, is 19 degrees.

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The expected value of a random variable is the measure of the central location of a random variable.

Expected value can be defined as the weighted average value of a random variable where the weights are the probability of occurrence of each value of the random variable. It is a measure of the central location of a random variable.

It represents the average value of a random variable that is expected to occur after an experiment has been conducted several times.

The formula for the expected value is: E(x) = ∑xP(x), where x represents the different values of the random variable, and P(x) represents the probability of occurrence of each value of the random variable x.

Summary:The expected value of a random variable is the measure of the central location of a random variable. It is the average value of a random variable that is expected to occur after an experiment has been conducted several times. The formula for the expected value is E(x) = ∑xP(x).

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The phrase of variable expression is (x - 3) / 20 = 12

Variable Expression:

A variable expression (or) an algebraic expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc.

Given,

20 divided by x minus 3 is 12 as a variable expression.

Write the phrase of above given.

20 divided by x minus 3 is 12

(x - 3) / 20 = 12

Hence, The phrase of variable expression is (x - 3) / 20 = 12

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Answer:

B.

Step-by-step explanation:

The graph shows a linear function that is extending infinitely in both directions.

In other words, the domain is all real numbers.

As inequalities, this is:

\(-\infty< x<\infty\)

Therefore, the correct answer is B.

Answer:

Step-by-step explanation:

To ensure that no member is scheduled to attend two meetings at the same time, a minimum of 4 different meeting times must be used for the six committees.

Given the membership of the six committees as stated in the table:

C1: Sarah, Rahan, Arman
C2: Zaba, Tim, Arman
C3: Sarah, Rohan
C4: Rohan, Zaba, Tim
C5: Sarah, Tim, Arman
C6: Rohan, Tim, Arman

We can analyze the overlapping members and organize the committees into different meeting times. For example:

Meeting Time 1: C1 and C3 (share Sarah)
Meeting Time 2: C2 and C4 (share Tim)
Meeting Time 3: C5 (Arman, but Sarah and Tim are occupied)
Meeting Time 4: C6 (Rohan and Arman, but Tim is occupied)

Thus, a minimum of 4 different meeting times must be used to ensure no member has a scheduling conflict.

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Answer: 59

Step-by-step explanation:

Answer:

-7.5 OR -7 1/2

Step-by-step explanation:

20.5 - 28 = -7.5

OR

20 1/2 - 28 = -7 1/2

Answer:

A. 1/6

B. 1

Step-by-step explanation:

A. 9/j x j/54= 9/54 = 1/6

B. 6k/8m : 3k/4m = 6k/8m : 4m / 3k = 2/2 =1

Answer:

a. 3/2

b. 1

Step-by-step explanation:

A. To simplify the expression, we can cancel out the common factor of j:

9/j * j/54 = (9/1 * 1/6) = 3/2

Therefore, 9/j * j/54 simplifies to 3/2.

B. To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction. That is,

(a/b) ÷ (c/d) = (a/b) x (d/c)

Using this rule, we can simplify the given expression as follows:

6k/8m ÷ 3k/4m = (6k/8m) x (4m/3k)

             = (6/8) x (4/3)  

             = 2/2

             = 1

Answer:

In the picture

Step-by-step explanation:

For #8, make sure you combine the like terms on the parantheses due to PEMDAS, then distribute and solve for the variable.

In the given diagram of circle O, we need to find various measurements. Let's consider the following measurements:

Diameter (d): The diameter of a circle is the distance across it, passing through the center. To find the diameter, we can measure the distance between any two points on the circle that pass through the center. Let's say we measure it as 12 units.

Radius (r): The radius of a circle is the distance from the center to any point on the circumference. It is half the length of the diameter. In this case, the radius would be 6 units (12 divided by 2).

Circumference (C): The circumference of a circle is the distance around it. It can be found using the formula C = 2πr, where π is approximately 3.14 and r is the radius. Using the radius of 6 units, we can calculate the circumference as C = 2 * 3.14 * 6 = 37.68 units. Rounding to the nearest whole number, the circumference is approximately 38 units.

Area (A): The area of a circle is the measure of the surface enclosed by it. It can be calculated using the formula A = πr^2. Substituting the radius of 6 units, we can find the area as A = 3.14 * 6^2 = 113.04 square units. Rounding to the nearest whole number, the area is approximately 113 square units.

In summary, for circle O, the diameter is 12 units, the radius is 6 units, the circumference is approximately 38 units, and the area is approximately 113 square units.

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Answer:

Yes. |8|+|-7| = 15

Step-by-step explanation:

the absolute cancels out the -, so it would mean that -7 is now positive 7, so yes it'd be 15

By evaluating the polynomial, we will see that the sign on the interval [-4, 2] is negative.

Here we have the polynomial:

f(x) = (x - 2)*(x + 4)*(x + 5).

You can see that the roots of the polynomial are at:

x = 2

x = -4

x = -5.

Then, on the interval [-4, 2], the sign of the polynomial don't change. So to get the sign of f(x) on that interval we can just evaluate it in any value of x that belongs to the interval, for example, x = 0.

f(0) = (0 - 2)*(0 + 4)*(0 + 5) = -2*4*5 = -40

With this, we can conclude that the sign of f(x) on the given interval is negative.

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Answer:

always negative

Step-by-step explanation:

The value of x which will make the equation 8 + x = 32 true will be 24 thus, option (B) is correct.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

The equation must be constrained with some constraints.

As per the given equation,

8 + x = 32

Put x = 4

8 + 4 = 12 ≠ 32

Put x = 24

24 + 4 = 32 (so it will be the solution)

Hence "The value of x which will make the equation 8 + x = 32 true will be 24".

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hope this helps

The figure below shows a line graph and two shaded triangles that are similar:

A line is shown on a coordinate grid. The x axis values are from negative 20 to positive 20 in increments of 4 for each grid line. The y axis values are from negative 5 to positive 5 in increments of 1 for each grid line. The line passes through the ordered pairs negative 16, 4, and 0, 0, and 16, negative 4. A shaded right triangle is formed so that its hypotenuse is from ordered pair 0, 0 labeled as O to negative 8, 2 labeled as A, one leg is from 0, 0 to negative 8, 0, and the second leg is from negative 8, 0 to negative 8, 2. Another shaded right triangle is formed with the hypotenuse from negative 8, 2 to negative 12, 3 labeled as B, one leg is from negative 8, 2 to negative 12, 2, and the second leg is from negative 12, 2 to negative 12, 3.

Which statement about the slope of the line is true?

The slope from point O to point A is fraction 1 over 4 times the slope of the line from point A to point B.

The slope from point O to point A is 4 times the slope of the line from point A to point B.

It is fraction negative 1 over 4 throughout the line.

It is −4 throughout the line

Step-by-step explanation:

not my answer found it on a different page but it should help.