Planet A has a mass of 5*10^26 kilograms. Planet B has a mass of 2*10^28 kilograms. Choose which planet has the larger mass. Then fill in the blank with a number written in standard notation.

Volume of the cylinder is = [tex]\pi r^{2}h[/tex] = [tex]3.14 * (.9)^{2}*2.9[/tex] = 7.37586 = 7.38 cu. mm

A cylinder is a three-dimensional solid that maintains, at a given distance, two parallel bases connected by a curving surface. These bases often have a circular form (like a circle), and a line segment known as the axis connects the centres of the two bases. The height of the cylinder is "h," while the radius of the cylinder is "r," measuring the distance from the axis to the outside surface.

Each form has specific characteristics that set it apart from other shapes. Consequently, cylinders share those same traits.

Radius(r) of the cylinder is .9 mm

Height(h) of the Cylinder is 2.9 mm

Volume of the cylinder is = [tex]\pi r^{2}h[/tex] = [tex]3.14 * (.9)^{2}*2.9[/tex] = 7.37586 = 7.38 cu. mm.

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The step in which there was a mistake in the simplification of the expression is given as follows:

A. Step 5.

The expression in this problem is defined as follows:

(1 + 3²)/5 + |-10|/2

The first step is applying the absolute value of -10, which is the distance of -10 from the origin of 0, hence it is of 10 and the expression is given then by:

(1 + 3²)/5 + 10/2.

Then the square is applied to 3², as 3 x 3 = 9, hence:

(1 + 9)/5 + 10/2

The parenthesis takes precedence, hence:

10/5 + 10/2.

The first quotient takes precedence, hence:

2 + 10/2.

Then in Step 5 there was the mistake, as the quotient takes precedence over the addition, meaning that the expression should have been simplified as follows:

2 + 5 = 7.

This means that option A is correct.

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In an exhibition, the cost of tickets for an adult is 5 more than thrice the cost o f ticket for a child.  

What is   equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.

Equation relates the cost, y, of adult ticket in terms of the cost, x, of child ticket.

Cost of Adult ticket = y

cost of child ticket  = x

cost of tickets for an adult is 5 more than thrice the cost o f ticket for a child.  

=> cost of tickets for an adult = 5 + 3 (cost o f ticket for a child.)

=> y  = 5 + 3x

=> y = 3x + 5

Equation is   y = 3x + 5

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Answer:

hi no ugh I pero Eresi me gusta la

If the line y=-x+4 is tangent to the graph of f(x) = x^2 - 5x + a, it means that the line and the graph of the function are just touching at a single point, and are not intersecting at any other points.

To find the value of a, we can start by setting the equation for the line and the equation for the function equal to each other:

y = -x + 4

f(x) = x^2 - 5x + a

Then, we can substitute the equation for the function into the equation for the line:

-x + 4 = x^2 - 5x + a

We can then solve this equation for a by moving all the terms to one side:

-x + 4 - x^2 + 5x = a

-x^2 + 6x - 4 = a

We can see that the left-hand side of this equation is a quadratic expression in x, and we know that a quadratic function is tangent to a line when the line is a horizontal tangent. This occurs when the derivative of the function is equal to the slope of the line.

The derivative of f(x) = x^2 - 5x + a is 2x - 5, so we can set this equal to the slope of the line, which is -1:

2x - 5 = -1

2x = -6

x = -3

Now that we know the value of x, we can substitute it back into the equation for the function to find the value of a:

f(-3) = (-3)^2 - 5(-3) + a

f(-3) = 9 + 15 + a

f(-3) = 24 + a

Since the line and the function are just touching at this point, the y-value of the function at x=-3 must be equal to the y-value of the line at x=-3. We can substitute these values into the equation for the line to find the value of a:

y = -(-3) + 4

y = 3 + 4

y = 7

Substituting this back into the equation for the function, we get:

f(-3) = 24 + a = 7

a = 7 - 24

a = -17

Therefore, the value of a is -17.

what do you mean by tangent?

A tangent is a line that touches a curve at a single point, but does not intersect the curve at any other points. In other words, it is a line that is just "skimming" the curve, rather than crossing it.

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The last line of a solution is 7 = 7. It means there is infinite solutions.

What are types of solution of linear equation?

The points where the lines representing the intersection of two linear equations intersect are referred to as the solution of a linear equation. In other words, the set of all feasible values for the variables that satisfy the specified linear equation constitutes the solution set of the system of linear equations.

The set of linear equations can have one of three different sorts of solutions. As follows:

1) unique solution

2) No solution

3) Infinite solutions

Given that the last line after solving an equation is 7 = 7.

Since the LHS and RHS of the equation is same thus it has infinite many solution.

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The inequality that models the domain of the linear function d(x)=  96 - 6*x is:

0 ≤ x ≤16

Here we know that Tiah buys a 96-ounce bag of dog food, and she gives the dog 6 ounces per day.

Then the amount of food remaining after x days is modeled by the linear equation:

d(x)=  96 - 6*x

The domain starts at x ≥ 0, now we need to find the upper bound, to do that, we need to find the value of x such that the remaining dog food is 0, so we need to solve:

d(x) = 0 = 96 - 6*x

6x = 96

x = 96/6 = 16

So the maximum value that x can take is x = 16, then the ineqeuality that defines the domain of d(x) is:

0 ≤ x ≤16

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Find the biggest common factor between the ratio's two terms to write the ratio in its simplest form. The largest number that equally divides both numbers is known as the greatest common factor of two numbers.

1 : 1/2 = 2 : 1

Add whole numbers to the values.

Create a fraction with the full number 1 as the denominator.

Next, we have:

1 : 1/2 = 1/1 : 1/2

Remove the denominators from fractions to convert them to integers.

We discover the Least Common Denominator and rewrite our two fractions as necessary using the common denominator because our two fractions have unlike denominators.

1 1/3 : 4 4/7 = 7 : 24

There are now:

1 1/3 : 4 4/7 = 4/3 : 32/7

Remove the denominators from fractions to convert them to integers.

We discover the Least Common Denominator and rewrite our two fractions as necessary using the common denominator because our two fractions have unlike denominators.

0.360 : 0.153 = 40 : 17

Add whole numbers to the values.

By multiplying both sides by 103 = 1000 to remove all three decimal places, you can convert any decimal values to integers.

Next, we have:

0.360 : 0.153 = 360 : 153

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An equation in slope-intercept form for the line that passes through (9,12) and is parallel to y=4 is y= 4x -24.

What is Parallel lines?

Parallel lines in geometry are coplanar, straight lines that don't cross at any point. In the same three-dimensional space, parallel planes are any planes that never cross. Curves with a predetermined minimum distance between them and no contact or intersection are said to be parallel.

Parallel lines will have the same slope but different y-intercepts  so again we can  use the coordinates to determine the y intercept of the new equation.

So we know that the slope intercept formula is y=mx + b where m is the slope and b is the y-intercept so we will input the x and y coordinates to solve for b.

12 = 4(9) + b

12 = 36 + b

b = -24

The equation will be y= 4x -24.

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Answer:

(A) 19 times, 16 people.

Step-by-step explanation:

There are 374 people in line and 16 people leave the line without riding, so there are 374 - 16 = <<374-16=358>>358 people who want to ride the Caterpillar.

The Caterpillar seats 18 people, so it must run 358/18 = <<358/18=19.89>>19.89 times to accommodate all the riders.

Since the Caterpillar cannot run a fraction of a time, it must run 19 times.

There are 358 people who want to ride and the Caterpillar can accommodate 19 x 18 = <<19*18=342>>342 of them, so there are 358 - 342 = <<358-342=16>>16 people on the last ride.

Therefore, the Caterpillar runs 19 times and there are 16 people on the last ride, so the answer is (A) 19 times, 16 people.

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The solution to the first inequality is x ≥ -2. Option 1 is correct. The solution to the second inequality is x ≤ -7. Option 1 is correct.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.

A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R." It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.

The inequalities are,

2( x +6 ) > -6( x +1) +2

2x + 12 > -6x - 6 + 2

2x + 6x > -12 - 6 +2

8x > -16

x > -2

-3x - 1 ≥ 20

-3x ≥ 21

x ≥ -7

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The value of x in the triangle is 3.

Different types of shapes—some two dimensional and some three dimensional—appear in mathematics' geometry. Two-dimensional shapes are those that can be specified with the aid of two parameters, while three-dimensional shapes are those that can be defined with three parameters. Shapes that are only two dimensional include squares, rectangles, triangles, etc. Such a two-dimensional object with straight sides is known as a polygon. Three line segments are arranged in a triangle at a specific angle for any two of the three line segments. A triangle has three angles, the total of which is always 180 degrees.

Given,

Triangle given

Sides of the length is x and 14

Sum is 6x -1.

6x - 1 = 14 + x

6x - x = 14 + 1

5x = 15

x = 3

The value of x in the triangle is 3.

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Answer:D. y = 3/4x + 1

Using slope-intercept form, the slope and y-intercept of the equation are 1 and - 7 respectively

The slope-intercept formula is often used to calculate or identify the slope, the y-intercept, the x-intercept, or the equation of a straight line in the equation.

The slope of the line is defined as the rate of change of the y - axis to the change in the x - axis.

The formula is represented as;

m = Δy / Δx

where Δ represent the change

The y-intercept of a line is the point at which the line touches the y-axis of the graph.

With these information, we can write a slope-intercept form of a straight line which is given as;

y = mx + c

In the given question;

x - 3 = 4

Let's collect like terms

x - 3 - 4 = x - 7

The equation can be rewritten as y = x - 7

In this case, the slope is 1 and the y-intercept is - 7

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Answer:

3x(5-2y)

Step-by-step explanation:

15x-6xy:  

(5x*3)-(2x*3)y=

3(5x-2x*y)=

3(5x-2xy)=3x(5-2y)

Repeating decimals are those numbers that, following the decimal point, continue to repeat the same value. The term "non-repeating rational numbers" refers to decimal numbers that do not repeat their value after the decimal point.

Repeating decimals are those numbers that, following the decimal point, continue to repeat the same value. Recurring numbers is another name for these figures. The term "non-repeating rational numbers" refers to decimal numbers that do not repeat their value after the decimal point.

A repeating decimal can be a rational number, and any integer is a rational number since it can be expressed as a fraction by simply assigning it a denominator of 1. Then, by multiplying and dividing the decimal according to its place values, we can also state that a terminating decimal can be expressed as a fraction.

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The triangle in front of the x and y represents the ratio of the change in y to the change in x. Option C is the correct choice based on this interpretation.

The calculation involves determining the average rate of change between two given points, namely (x₁, y₁) and (x₂, y₂).

The average Rate of Change is given  by, = ∆y / ∆x

where ∆y represents the change in the y-values [tex](y_2_-y_1)[/tex], and ∆x represents the change in the x-values [tex](x_2 - x_1)[/tex] between the two points on the function.

In the average rate of change formula, the triangle symbol (∆) preceding the x and y denotes the delta notation, which signifies "change in." More precisely, it indicates the change in y divided by the change in x.

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We may calculate our answer using fractions and the fact that the base is 18.3 feet.

The components of a whole or group of items are represented by fractions. A fraction consists of two components.

The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection.

The denominator is the figure that appears below the line. It displays the total number of identical objects in a collection or the total number of equal sections the whole is divided into.

There are three different methods to express a fraction: as a fraction, as a percentage, or as a decimal. Let's examine each of the three representational styles.

According to our question-

The patio is 280 square feet in size. locate the base.

Height = 5x Area = 280 feet square

Base = 6x

The parallelogram A's area can be expressed mathematically as;

Base + height equals area.

A = b×h

the values of area, base, and height are substituted.

280 = 5x × 6x = 30x^2 \sx^2 = 280/30 \sx = √(280/30)

Given that the base is 6x,

swapping out x's value.

Base = 6x = 6(√(280/30))

Base=18.3 feet

18.3 ft tall is the base

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Answer:

At short 18.7 ft is the answer

Answer:

it's not easy but I'll try my best when I get the answer I'll come back thanks

The required inequality for the pizzas and donuts can be represented as, nx + ny > 0.

Inequality shows relation between two expression which are not equal to each others.

Number of donuts produced each hour = x,

And number of pizzas produced each hour = y.

Let for n hours, donuts and pizzas are produced.

So the inequality for the positive number of pizzas and donuts, the inequality can be presented as,

nx + ny > 0

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To represent the constraints, the inequalities are  x ≤ n and y ≤ m.

When two expressions or values are not equal to one another, this connection is referred to as "inequality" in mathematics.

Let you can make at most n numbers of donuts per hour.

If x represents the number of donuts produced per hour.

To write an inequality to represent this:

x ≤ n.

And also, you can make at most m number of pizzas per hour.

If represents the number of pizzas produced per hour.

To write an inequality to represent this:

y ≤ m.

You may use a variety of methods to eliminate the inequality, including multiplying or dividing each side by the same positive number, adding or subtracting the same amount from each side, and more. If either side is multiplied or divided by a negative value, the inequality sign must be reversed.

Therefore, the inequalities are x ≤ n and y ≤ m.

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A product is designed to function for 10,000 hours with a 3% chance of failure , then Average number of failures per hour = 0.03/10000 = 0.000003 and MTTF = 1/0.000003 = 333,333 hours

Given,

Chance Product is designed to function for 10,000 hours

of failure is 3%

To find,

Average number of failures per hour

MTTF

Solution,

Average number of failures per hour = Chance of failure/Total hours of function

= 3%/10000

= 0.03/10000

= 0.000003

MTTF = 1/Average number of failures per hour

= 1/0.000003

= 333,333 hours

The product is designed to function for 10,000 hours with a 3% chance of failure. This means that the average number of failures per hour is 0.000003 and the Mean Time To Failure (MTTF) is 333,333 hours. This means that, on average, the product should last 333,333 hours before it fails.

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For the Δabc the measure of angle c is ∠c = 113°.

What is triangle?

Three edges and three vertices make up a triangle, which is a polygon. It is among the fundamental shapes in geometry. Triangle ABC refers to a triangle with the vertices A, B, and C. In Euclidean geometry, any three points that are not collinear determine a singular triangle and a singular plane at the same time.

Consider, the given triangle Δabc with a = 30°, b = 37°.

We have to find the measure of ∠c.

Since the sum of three angles of triangle is 180°.

So,

∠a + ∠b + ∠c = 180°

30° + 37° + ∠c = 180°

67° + ∠c = 180°

∠c = 180° - 67°

∠c = 113°

Hence, for the Δabc the measure of angle c is ∠c = 113°.

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Answer: pls show list of equations

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

All of the  angles are the same (their opposite sides are =)....it is an equilateral triangle

 all of the angles sum to 180°

  each angle is then 60°

    5y+10 = 60

       5y = 50

          y = 10 °

Answer: The answer is C

Step-by-step explanation:

6- 1/3 - 1/2 = 4 2/5

With the Application of Arithmetic operators the value of given equation is 492.

what is Arithmetic operators?

an operator that works with groups and numbers in arithmetic. The prefix and the binary plus (+) and minus (-) symbols are the only arithmetic operators in AHDL that are supported for Boolean expressions.

solution:

sub  k =8,j=2 in equation k^3-4j = 12

Therefore, (8)^3 - 4 (2) = 12

                  512 - 8 - 12 = 0

492 is the value.

Therefore the value of given equation is 492

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Complete Question:
What Is The Answer
k3 - 4j +12, when k=8, j=2​

The future value of the account in 2 years is $2226.15

The given variables can be represented as:

The Future value can be calculated using the formula given as

FV = P(1 + r/n)^nt

Also from the question, we have

n = 4

This is so because the investment is compounded 4 times in a year as a result of being compounded quarterly

Solving further, we replace the variables with their values in the above equation

FV = 1900 * (1 + 8%/4)^(4 * 2)

Evaluate

FV = 2226.15

Hence, the amount is $2226.15

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