(1/a*b-b^2)+(1/a*b-a^2)​

The product of the leading digits is 10 or more, then the answer to this multiplication problem will have Seven digits.

The product of two numbers is the answer when they are multiplied. So, the product of 5 and 4 is the multiplication 5× 4 and is equal to 20.

A 3-digit number times an 3-digit number.

The largest 3-digit number = 999

The product of largest 3 digit number and 3 digit number = 999×999

= (1000-1)(1000-1)

=( 1000)² - 2000 + 1

= 1000000 - 1999

= 998001

Which is 6-digit number. So, the product of three digit number with three digit number is cannot be greater than 6-digit number .

Now, the product of 3-digit number times an 3-digit number is multiply by 10 then one more digit added to it .

So, the possible answer of this multiplication problem consists 7-digit number.

To learn more about 3-digit number , refer:

https://brainly.com/question/713808

#SPJ4

Answer: The answer is 80

Step-by-step explanation:

Answer:

Gary baked 80 muffins on Sunday

Step-by-step explanation:

I can set up a proportion, knowing that 24/x = 3/10, where x is the total number of muffins baked on Sunday.  By cross multiplying, I get 240 = 3x.  By dividing both sides by 3, I find x = 80.

Answer:

c. y = 1/2x - 2

Step-by-step explanation:

they have the same gradient so are parallel

Answer:

136

Step-by-step explanation:

180 - <BAC

Answer: 1. linear equation

2. non-linear equation

3. non-linear equation

4. non-linear equation

5. linear equation

Step-by-step explanation:

not sure

The value of x for GT is 6.5 .

What is the congruence of triangles?
If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved.

Given, ΔGET ≅ ΔABS
Following the statement that corresponding sides of congruent triangles are congruent, we have:
GE = AB, ET = BS and GT = AS -(i)
AB = 10, BS = 13, AS = 18, GT = 4x - 8 -(ii)
Comparing (i) and (ii) we have, 4x - 8 = 18 ⇒ 4x = 26 ⇒ x = 26/4 = 6.5
Thus, the value of x for GT is 6.5 .

To learn more about this, tap on the link below:
https://brainly.com/question/3999145

#SPJ9

When Tracey pours all the water from the smaller 5-inch cube container into the larger 7-inch cube container, the water will be approximately 7 inches deep in the larger container.

To find out how deep the water will be in the larger container, we need to consider the volume of water transferred from the smaller container. Since both containers are cube-shaped, the volume of each container is equal to the length of one side cubed.

The volume of the smaller container is 5 inches * 5 inches * 5 inches = 125 cubic inches.

When Tracey pours all the water from the smaller container into the larger container, the water completely fills the larger container. The volume of the larger container is 7 inches * 7 inches * 7 inches = 343 cubic inches.

Since the water fills the larger container completely, the depth of the water in the larger container will be equal to the height of the larger container. Since all sides of the larger container have the same length, the height of the larger container is 7 inches.

Therefore, the water will be approximately 7 inches deep in the larger container.

For more such questions on container

https://brainly.com/question/29398973

#SPJ8

Answer:

First system: no solution

Second system: one solution

Third system: one solution

Fourth system: infinite solutions

Fifth system: no solution

Step-by-step explanation:

First system: 3x-2y=3; 6x-4y=1

From the first equation: y = (3x - 3)/2

Using this value of y in the second equation:

6x - 6x + 6 = 1

6 = 1 -> System has no solution

Second system: 3x-5y=8; 5x-3y=2

From the first equation: x = (8 + 5y)/3

Using this value of x in the second equation:

5*(8 + 5y) - 9y = 6

40 + 25y - 9y = 6

16y = -34 -> y = -2.125

x = (8 - 5*2.125)/3 = -0.875

This system has one solution

Third system: 3x-2y=8; 4x-3y=1

 From the first equation: x = (8 + 2y)/3

Using this value of x in the second equation:

4*(8 + 2y) - 9y = 3

32 + 8y - 9y = 6

y = 26

x = (8 + 2*26)/3 = 20

This system has one solution

Fourth system: 3x-6y=3; 2x-4y=2

  From the first equation: x = 1 + 2y

Using this value of x in the second equation:

2*(1 + 2y) - 4y = 2

2 + 4y - 4y = 2

2 = 2

This system has infinite solutions

Fifth system: 3x-4y=2; 6x-8y=1

  From the first equation: x = (2 + 4y)/3

Using this value of x in the second equation:

2*(2 + 4y) - 8y = 1

4 + 8y - 8y = 2

4 = 2

This system has no solution

The polar form is \(r^2\)cosθsinθ dr dθ and A = 0, B = 5, C = 0, D = π/2. The volume enclosed by the given region is 125/6 cubic units.

To convert the given integral to polar coordinates, we need to express the variables x and y in terms of r and θ. In polar coordinates, x = rcosθ and y = rsinθ. Let's proceed with the conversion.

The integrand xy can be expressed as (rcosθ)(rsinθ) = \(r^2\)cosθsinθ.

The limits of integration need to be determined as well. The integral is given as ∫ 0 to 5/√2 ∫ y to √(25 - \(y^2\)) \(r^2\)cosθsinθ dx dy.

To determine the limits, let's first consider the bounds of y. The lower limit of y is given as y = 0, and the upper limit of y is √(25 - \(y^2\)). We can rewrite this equation as \(y^2\) + \(x^{2}\) = 25, which represents a circle with a radius of 5 centered at the origin. The upper limit of y corresponds to the upper semicircle of the circle.

In polar coordinates, the equation of this upper semicircle is r = 5. Therefore, the limits of integration for r are from 0 to 5.

For the angle θ, the integral is taken over the region from y to √(25 - \(y^2\)). In polar coordinates, this corresponds to the angle from the positive x-axis to the line connecting the origin to the point (x, y) on the upper semicircle. This angle can be expressed as θ = 0 to π/2.

Now, let's write the integral in polar coordinates and evaluate it:

∫ A to B ∫ C to D \(r^2\)cosθsinθ dr dθ =

A = 0 (lower limit of r)

B = 5 (upper limit of r)

C = 0 (lower limit of θ)

D = π/2 (upper limit of θ)

Now, let's evaluate the integral:

∫ 0 to 5 ∫ 0 to π/2 \(r^2\)cosθsinθ dr dθ

Integrating with respect to r first:

∫ 0 to π/2 [(1/3)\(r^3\)cosθsinθ] from 0 to 5 dθ

= (1/3) ∫ 0 to π/2 (\(5^3\)cosθsinθ) dθ

= (1/3) (125) ∫ 0 to π/2 cosθsinθ dθ

Now, integrating with respect to θ:

= (1/3) (125) [(-1/2)\(cos^2\)θ] from 0 to π/2

= (1/3) (125) [(-1/2)(\(0^2\) - \(1^2\))]

= (1/3) (125) (1/2)

= 125/6

Therefore, the volume enclosed by the given region is 125/6 cubic units.

Correct Question :

Convert the integral below to polar coordinates and evaluate the integral. ∫ 0 to 5/ 2∫ y to √(25 - \(y^2\)) xy dx dy

Instructions: Please enter the integrand in the first answer box, typing theta for θ. Depending on the order integration you choose, enter dr and order into the second and third answer boxes with only one dr or dtheta in each box. Then, enter the limits of integration and evaluate the integral to find the volume.

∫A to B ∫C to D =

​A=

B=

C=

D=

​

To learn more about volume here:

https://brainly.com/question/32532372

#SPJ4

Answer:

5 feet.

Step-by-step explanation:

The angle of the height and length go down to 5 feet diagonally.

Answer:

25ft

Step-by-step explanation:

To find the length of the top of the flagpole to the end of the shadow, you have to use the Pythagorean theorem a² + b² =c²

15² + 20² = x²

225 + 400 = x²

625 = x²

√625 = √x²

x = 25

The definition and explanation of an equation are given below with an example.

in mathematics, an equation is defined as an expression that expresses equality between 2 quantities or expressions. We use equations quite a lot in our daily lives whenever we have to equate two quantities and find out how they are equal. These are used in all branches of science because of the huge purpose they serve.

in simple words it tells what we have on the Left-Hand Side of the "=" sign is the same as what we have on the right-hand side of the statement. Some examples of equations are-

E²=m²c⁴+p²c²

x²+3x-1=0

70 oranges= 7 oranges × 10 oranges

Learn more about equations on

https://brainly.com/question/29657983?referrer=searchResults

#SPJ4

An appropriate interval width for the given range of values is 30.

To determine an appropriate interval width for a given range of values, you need to consider the desired level of precision and the number of intervals you want to create.

One commonly used method to determine the interval width is to use the range of the data divided by the desired number of intervals. However, in the absence of information about the desired number of intervals, we can still calculate the interval width using the given range of values.

Let's calculate the interval width for each case:

a. For the range 20 to 65:

Interval width = (Max value - Min value) / Number of intervals

The given range is 20 to 65, so the maximum value is 65 and the minimum value is 20. Since the number of intervals is not specified, we can choose a reasonable value. Let's use 10 intervals as an example.

Interval width = (65 - 20) / 10 = 45 / 10 = 4.5

Therefore, an appropriate interval width for the given range of values is approximately 4.5.

b. For the range 30 to 150:

Using the same method as above, we can calculate the interval width:

Interval width = (150 - 30) / Number of intervals

Again, the number of intervals is not specified. Let's use 12 intervals as an example.

Interval width = (150 - 30) / 12 = 120 / 12 = 10

Therefore, an appropriate interval width for the given range of values is 10.

c. For the range 40 to 290:

Similarly, we can calculate the interval width:

Interval width = (290 - 40) / Number of intervals

Assuming 15 intervals for this example:

Interval width = (290 - 40) / 15 = 250 / 15 = 16.67 (approximately)

Hence, an appropriate interval width for the given range of values is approximately 16.67.

d. For the range 100 to 700:

Following the same approach:

Interval width = (700 - 100) / Number of intervals

Taking 20 intervals as an example:

Interval width = (700 - 100) / 20 = 600 / 20 = 30

Therefore, an appropriate interval width for the given range of values is 30.

To know more about interval, visit:

https://brainly.com/question/11051767

#SPJ11

The number of scholarships that pay for both books and meals is 1.

To solve this problem, we need to use the concept of set intersection. Let B be the set of scholarships that pay for books, and M be the set of scholarships that include a meal ticket. We want to find the number of scholarships that pay for both books and meals, which is the size of the set intersection B ∩ M.

From the problem statement, we know that:

|B| = 7 (seven scholarships pay for books)

|M| = 4 (four scholarships include a meal ticket)

We can use the inclusion-exclusion principle to find |B ∩ M|:

|B ∩ M| = |B| + |M| - |B U M|

We need to find the size of the union of the sets B and M, which includes all scholarships that pay for books, all scholarships that include a meal ticket, and possibly some scholarships that pay for both. From the problem statement, we know that there are two scholarships that exclude both meals and books, so we can subtract that from the union:

|B U M| = |B| + |M| - |B ∩ M| + 2

Substituting the known values, we get:

|B ∩ M| = |B| + |M| - |B U M| + 2

|B ∩ M| = 7 + 4 - (7 + 4 - |B ∩ M| + 2) + 2

|B ∩ M| = 1 + |B ∩ M|

Solving for |B ∩ M|, we get

|B ∩ M| = 1

Learn more about inclusion-exclusion principle here

brainly.com/question/27975057

#SPJ4

The given question is incomplete, the complete question is:

A student applies for ten different scholarships to various universities. seven of the scholarships pay for books. four scholarships include a meal ticket. two of the scholarships exclude meals and books. how many scholarships pay for both books and meals?

The differential equation t^2y" - 6ty' + 6y = 0 has solutions of the form y = t^r for t > 0 when r = 1 and r = 6.

There are two values of r.To find the values of r for which the differential equation t^2y" - 6ty' + 6y = 0 has solutions of the form y = t^r for t > 0, we can substitute y = t^r into the differential equation and solve for r.

Let's substitute y = t^r into the equation:

t^2y" - 6ty' + 6y = 0

Differentiating y = t^r with respect to t:

y' = rt^(r-1)

y" = r(r-1)t^(r-2)

Substituting these derivatives into the differential equation:

t^2(r(r-1)t^(r-2)) - 6t(rt^(r-1)) + 6(t^r) = 0

Simplifying:

r(r-1)t^r - 6rt^r + 6t^r = 0

Factor out t^r:

t^r (r(r-1) - 6r + 6) = 0

For a non-trivial solution, t^r cannot be zero, so we must have:

r(r-1) - 6r + 6 = 0

Expanding and rearranging:

r^2 - r - 6r + 6 = 0

r^2 - 7r + 6 = 0

Now we can factor the quadratic equation:

(r - 1)(r - 6) = 0

This gives us two possible values for r:

r - 1 = 0  =>  r = 1

r - 6 = 0  =>  r = 6

Therefore, the differential equation t^2y" - 6ty' + 6y = 0 has solutions of the form y = t^r for t > 0 when r = 1 and r = 6. There are two values of r.

Learn more about derivatives here: brainly.com/question/25324584

#SPJ11

Answer:

Original Ratio: 100:200

Divide both sides by 100: 1:2

The ratio 1:2 cannot be simplified further, so 1:2 is he correct answer.

Let me know if this helps!

Turbulence modeling is needed and employed in Computational Fluid Dynamics (CFD) simulations because turbulence is characterized by chaotic and unpredictable fluid motion.

Turbulence models are mathematical models that are constructed and used to predict the effects of turbulence on fluid flow.
- Turbulence modeling helps to improve the accuracy and reliability of CFD simulations by predicting the behavior of fluid flow under turbulent conditions.
- Turbulence modeling helps to reduce the computational cost of CFD simulations by approximating the effects of turbulence on fluid flow.
- Turbulence modeling allows for the analysis of complex fluid flow problems that would be difficult or impossible to solve analytically.
- Turbulence modeling provides insight into the physics of fluid flow under turbulent conditions, which can lead to improvements in design and optimization of engineering systems.

Turbulence modeling is an essential component of CFD simulations because it allows for the efficient and accurate prediction of fluid flow under turbulent conditions. the effects of turbulence, engineers can analyze complex fluid flow problems and optimize engineering systems.

To know more about Turbulence visit:-

https://brainly.com/question/11443433

#SPJ11

Therefore, the average speed in the simplest form is 6d² + 2d miles per hour.

In mathematics, an expression is a combination of symbols and values that can be evaluated to obtain a result. Expressions can contain variables, constants, operators, and functions, which can be combined using arithmetic or algebraic operations to form more complex expressions. Examples of expressions include 2 + 3, x + 5, and sin(θ) + cos(θ).

Here,

The given polynomial 90d² + 30d represents the miles traveled. We can find the average speed by dividing the distance traveled by the time taken. Since we have traveled for 15d hours, the total distance traveled is (90d² + 30d) miles. Thus, the average speed is:

=(90d² + 30d) miles / (15d) hours

= 6d² + 2d miles per hour

To know more about expression,

https://brainly.com/question/1859113

#SPJ1

Answer:

3/35

Step-by-step explanation:

Here, we want to know the constant of proportionality in this direct variation scenario

Since it is a direct variation, the form we are having would be;

x = ky

where x and y directly vary with each other and k is the constant of proportionality

Now, for the first relation

3 = 35k

for the second

9 = 105k

Thus k would be

3/35 which is the same as 9/105

Kindly note that 9/105 can be reduced to 3/35

So linking the number of weeks to the number of stamps collected, the constant of proportionality is 3/35

The answer is A.) y =35/3x

Answer:

50

Step-by-step explanation:

If R is 65, then T must also be 65 because both of the sides are congruent. 65+65=130 and all angles on a triangle add to 180. Therefore 180-130 is 50

Answer:

Hours worked and money earned

Distance and time when speed is constant

Area and side length of a square

Total cost and the number of hats purchased

Step-by-step explanation:

Answer:

Timed test.

Step-by-step explanation:

An operational definition gives exactly what the independent variable means and its mode of measurement. The Independent variable is the variable in a research or experimental study which causes a change in the the measured variable. Hence, the independent variable is the predictor variable. In the study above, the independent variable is the timed test which is used to observe changes in the heart rate of the test taker (test anxiety). The change innheartrate of the test taker is the dependent variable.

No it is not an irrational number

Answer: \(26.4\ \text{days}\)

Step-by-step explanation:

Given

Half life of radioactive substance is \(T_{\frac{1}{2}}=20\ \text{days}\)

Initial amount \(A_o=2\ \text{days}\)

Amount left at any time is given by

\(\Rightarrow A=A_o2^{\dfrac{-t}{T_{\frac{1}{2}}}}\\\\\Rightarrow 2=52^{\dfrac{-t}{20}}\\\\\Rightarrow 0.4=2^{\dfrac{-t}{20}}\\\\\Rightarrow 2^{\dfrac{t}{20}}=2.5\\\\\Rightarrow \dfrac{t}{20}\ln 2=\ln (2.5)\\\\\Rightarrow t=\dfrac{20\ln (2.5)}{\ln 2}\\\\\Rightarrow t=26.4\ \text{days}\)

It takes 26.4 days to reach 2 gm.

Answer:

4 9/10

Step-by-step explanation:

3 1/2 ---- 3 5/10

7/5 ------ 14/10

3 5/10 + 14/10 = 3 19/10 ---- 4 9/10

The interval that will contain 68 percent of the data, given a mean of 11 and a standard deviation of 2.75, is (8.25, 13.75).

To find the interval, we need to consider the empirical rule (also known as the 68-95-99.7 rule) for a normal distribution. According to this rule, approximately 68 percent of the data falls within one standard deviation of the mean.

Since the mean is 11 and the standard deviation is 2.75, we can calculate the lower and upper bounds of the interval by subtracting and adding one standard deviation, respectively.

Lower bound = 11 - (1 * 2.75) = 8.25

Upper bound = 11 + (1 * 2.75) = 13.75

Therefore, the interval that will contain 68 percent of the data is (8.25, 13.75), which means that approximately 68 percent of the data points will fall within this range.

LEARN MORE ABOUT standard deviation here: brainly.com/question/29115611

#SPJ11