A small heater has a rectangular filter that has a width of 16.0 in. and a length of 20.0 in. Another larger heater requires a similar filter that has a 56 in. width. What is the length (in inches) of this larger filter? (Round your answer using the rules for working with measurements.)

The rate of change of the area at t = 6 is 11 square units per minute

The area of a shape is the amount of space on the shape

The given parameters are

L(6) = 8

W(6) = 4

L'(6) = 7

W'(6) = -3

The rate of change of the area at t = 6 is calculated as

A'(t) = L(t) *L'(t) + W(t) *W'(t)

Substitute the known values in the above equation

So, we have:

A'(6) = L(6) *L'(6) + W(6) *W'(6)

Substitute the known values in the above equation

So, we have:

A'(6) = 8 * 4 - 7 * 3

Evaluate the products

So, we have:

A'(6) = 32 - 21

Evaluate the difference

So, we have:

A'(6) = 11

Hence, the rate of change of the area at t = 6 is 11 square units per minute

Read more about area at

https://brainly.com/question/22972014

#SPJ1

Complete question

A rectangle's length L(t) and width W(t) (measured in inches) are varying in time (in minutes). Let A(t) be the area of the rectangle.

Determine A′() at t = 6 with L(6) = 8, W(6)=4, L′(6)=7, and W′(6)=−3.

9514 1404 393

Answer:

  -1350°

Step-by-step explanation:

π radians is 180°, so you have ...

  -15(180°)/2 = -1350°

Answer:

2 feet 3 inches

Step-by-step explanation:

So we know there are 12 inches in one foot. so 27/3= 2 remainder 3. So the answer is 2 feet 3 inches

Answer:

x ≥ _

Step-by-step explanation:

I can't see the numbers, however the number under the closed dot would be the number to insert there. Leave x alone.

8. Find the measure of the supplement of the angle:

The sum of given angle and the missing angle gives 180 degrees

14 + x = 180

x = 180 - 14

x = 166 degrees

The coefficient of determination, given the total variation and the explained variation would be 0.898.

R-squared, or the coefficient of determination, represents the proportion of variation within a response variable that can be explained by the regression model. This calculation is achieved through dividing the explained variation by the total variation.

We are given the explained variation as 18. 592. We are also given the total variation as 20. 711.

The coefficient of determination is:

= explained variation / total variation

= 18. 592 / 20.711

= 0. 898

Find out more on coefficient of variation at https://brainly.com/question/13228462

#SPJ1

Full question is:

A regression equation is obtained for a collection of paired data. It is found that the total variation is 20.711, the explained variation is 18.592, and the unexplained variation is 2.119.

Find the coefficient of determination. Round to three decimal place

The volume of the circular cylinder be,

⇒ 62.8 mm³

Given that,

For a circular cylinder,

Height = 5 mm

Radius = 2 mm

Then we have to find the volume of this circular cylinder

Since we know that,

The right circular cylinder is a cylinder with circular bases that are parallel to each other. It's a three-dimensional form. The axis of the cylinder connects the centers of the cylinder's two bases.

This is the most frequent sort of cylinder encountered in daily life. The oblique cylinder, on the other hand, does not have parallel bases and resembles a skewed construction.

volume of circular cylinder = πr²h

Here we have,

r = 2 mm

h = 5 mm

Now put the values into the formula we get,

Volume = π x 2² x 5

             = 62.8 mm³

To learn more about volume visit:

https://brainly.com/question/16860802

#SPJ1

What the given experiment demonstrates is; The magnitude of acceleration according tp newton's second law of motion

Newton's second law of motion states that the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object.

This law basically establishes a relationship between the net force and the acceleration, which is expressed as;

∑ F = m a

where;

∑F is the sum of the external forces

m the mass of the body

a is the acceleration of the body

The initial situation in the question shows the block and a baking mass. This means that an acceleration is created towards the hanging mass expressed as;

W₁ = M₁ g

F = ma

Thus;

M₁g = m a

a = (M₁g/m)

where;

W₁ is the weight of the body  

M₁ is the mass of the body hanging under the acceleration of gravity.

For the second case, there are two masses, with one on each side, and so we have;

∑ F = W₁ - W₂

∑F = (M₁ - M₂) g

Using Newton's second law of motion gives us;

(M₁ - M₂ )g = ma

a = (M₁ - M₂ )mg

Thus, the acceleration depends on the difference of the hanging masses which proves Newton's second law of motion.

Read more about Magnitude of Acceleration at; https://brainly.com/question/1597065

#SPJ1

The conditions that are required to validate the use of t for the significance test would be:

D). l and ll only

A response variable, also known as a dependent variable, is a variable that is being studied or measured in an experiment or statistical analysis. It is the outcome or output of the study, and its value is influenced by one or more predictor variables, also known as independent variables.

The goal of a study is often to understand how the response variable is affected by the predictor variables.

For example, in a medical study, the response variable might be the level of a certain protein in the blood, and the predictor variable might be the dosage of a new drug being tested.

In a marketing study, the response variable might be the number of units sold of a product, and the predictor variables might be the price of the product and the advertising budget.

Therefore, The conditions that are required to validate the use of t for the significance test would be:

D). l and ll only

To know more about response variables refer to:

brainly.com/question/14662435

#SPJ4

Answer: B

For a number to be in correct scientific notation, the first number or the decimal number has to be less than 10. In this case, 75.3 is not less than 10, hence it is the incorrect answer.

Answer: B

Step-by-step explanation:

Scientific notation usually writes as c x 10^n, where c is between 1 and 10. The coefficient of B 75.3 is greater than 10, and also is not in the range of 1 and 10, so b is used scientific notation incorrectly.

1. The slopes of perpendicular lines are  a negative reciprocal

2. Parallel lines have the same slope.

3. The shortest distance from any point to a line is a straight line

The slope of two perpendicular lines is such that the slope of one line is equal to the reciprocal of the negative slope of the other.

if two lines of slope m and m' are perpendicular their slopes is written as

m = -1/m'

Parallel lines grow vertically and flow horizontally at the same rate. they have the same slope, they never cross.

if two lines of slope m and m' are perpendicular their slopes is written as

m = m'

Learn more about slope here:

https://brainly.com/question/29333776

#SPJ1

Children learning to duplicate patterns when they can identify the rule, that is, when the unit repeats and the pattern becomes predictable is a true statement.

This involves the regularity or repeated way in which something is done or arranged.

Children are very inquisitive and tend to make logical connections when dealing with patterns due to their reasoning skills thereby aiding their learning process.

Read more about Patterns here https://brainly.com/question/17386984

#SPJ1

Let the amount she chooses to always save monthly be = x

Since she is allowed to deposit up to $100 a month:

Answer:

okay

Step-by-step explanation:

2^3 times 3^2

Answer:

2^3*9

Step-by-step explanation:

72-9

8-2

4-2

2-2

1

Answer:

======================

Progress per day and night is:

Number of days to climb the tree less 11 ft:

Julia climbed in 16 days/nights:

One more day is required after this:

Answer:

Below

Step-by-step explanation:

77 min is 1 hour 17 min...add this to the 9:00 start to find  10 :17 am

7 raised to the power of 4 equals 2,401, and the exponent we were looking for is 4.

What is meant by power?

Power is a function that represents the number of times a base number is multiplied by itself. It is the rate at which work is done or energy is transferred, measured in watts.

What is meant by exponent?

An exponent is a mathematical notation used to indicate the number of times a quantity is multiplied by itself. It is written as a superscript and represents the power to which a number or expression is raised.

According to the given information

To find the value of the exponent that satisfies the equation 7ˣ = 2,401, we can take the logarithm of both sides of the equation with respect to base 7. This gives us:

log7(7ˣ) = log7(2,401)

x = log7(2,401)

Using a calculator, we can find that log7(2,401) is approximately 3. Therefore, the value of x that satisfies the equation 7ˣ = 2,401 is 3.

Alternatively, we could also use the fact that 2,401 is equal to 7⁴ - 2, which can be written as:

7⁴ - 2 = (7²)² - 2

= 49² - 2

= 2,401

To know more about exponent visit

brainly.com/question/15993626

#SPJ1

Answer:

Based on the information given, we know that angles 3 and 4 are supplementary (they add up to 180 degrees) and angles 2 and 4 are vertical angles (they are congruent). Therefore, we can write:

m∠4 + m∠3 = 180 (since angles 3 and 4 are supplementary)

m∠4 = m∠2 (since angles 2 and 4 are vertical angles)

Substituting m∠4 = m∠2 into the first equation, we get:

m∠2 + m∠3 = 180

Now we can solve for m∠2 and m∠3:

m∠3 = 43 (given)

m∠2 = 180 - m∠3 = 180 - 43 = 137

Since angles 1 and 2 are also supplementary, we can find m∠1 by subtracting m∠2 from 180:

m∠1 = 180 - m∠2 = 180 - 137 = 43

Therefore, m∠1 = 43 degrees and m∠2 = 137 degrees.

Answer:

\(4\sqrt{2}\)

Step-by-step explanation:

Use the distance equation

\(\sqrt{(x1-x2)^2+(y1-y2)^2}\)

insert values (5,-2)=(x1,y1) and (1,2)=(x2,y2)

\(\sqrt{(5-1)^2+((-2)-2)^2}\)

\(\sqrt{16+16}\)

\(4\sqrt{2}\)

Hope that helps :)

Answer:

complementary

Step-by-step explanation:

because the angles add up to 90°

Answer:

x = (v - u) / a

Step-by-step explanation:

v = u + ax.

subtract u from both sides:

v - u = ax.

divide both sides by a:

(v - u) / a = x.

so x = (v - u) / a.

this can also be written v/a - u/a

Step-by-step explanation:

1. 9(x - 2) = 7x + 5

9x - 18 = 7x + 5

-7x. -7x

2x - 18 = 5

+18. +18

2x = 23

÷ ÷

2x. 2x

x = 11.5

2. 2x + 8 = -3.5x + 19

+3.5x. +3.5x

5.5x + 8 = 19

-8. -8

5.5x = 11

÷ ÷

5.5x. 5.5x

x = 2

3. 3(3x + 2) -2x = 7x + 6

9x + 6 - 2x = 7x + 6

7x + 6 = 7x + 6

-6. -6

7x = 7x

-7x. - 7x

0 = 0

Answer:

$23400

Step-by-step explanation:

There are 52 weeks in a year, so multiply 450 by 52.

$23400

Answer:

your annual salary will be

$1800 monthly

$23400 yearly

Step-by-step explanation:

please mark me brainliest

The tables which shows a proportional relationship between x and y are table 3 and table 4.

Using ratio to find the proportional relationship

Table 1

x : y = 8 : 8

= 1 : 1

x : y = 12 : 10

= 6 : 5

Not proportional

Table 2:

x : y = 2 : 3

x : y = 3 : 8

Not proportional

Table 3:

x : y = 5 : 3

x : y = 10 : 6

= 5 : 3

Proportional

Table 4:

x : y = 4 : 1

x : y = 16 : 4

= 4 : 1

Proportional

Ultimately, table 3 and table 4 shoes a proportional relationship between x and y.

Read more on proportional relationship:

https://brainly.com/question/12242745

#SPJ1

Answer:

yes youre right it is point D

Step-by-step explanation:

Answer:

x-int: (2, 0)

y-int: (0, -4)

Step-by-step explanation:

Step 1: Convert to slope-intercept form

2y = -4x - 8

y = -2x - 4

Step 2: Find y-int (Set x to 0)

y = -2(0) -4

y = -4

Step 3: Find x-int (Set y = 0)

0 = -2x - 4

4 = -2x

x = 2

Answer:

The x=-2 and y=-4

Step-by-step explanation:

x=(-2,0)

y=(0,-4)

DO the math and you will get the answer

I hope this helps

Stay safe:)

USe desmo

Answer:

1 adult ticket and 7 student tickets were purchased

Step-by-step explanation:

let a represent number of adult tickets purchased and s the number of student tickets purchased, then

a + s = 8 ( subtract s from both sides )

a = 8 - s → (1) ← based on total tickets purchased

10.5a + 7.25s = 61.25 → (2) ← based on cost of tickets

substitute a = 8 - s into (2)

10.5(8 - s) + 7.25s = 61.25

84 - 10.5s + 7.25s = 61.25

84 - 3.25s = 61.25 ( subtract 84 from both sides )

- 3.25s = - 22.75 ( divide both sides by - 3.25 )

s = 7

substitute s = 7 into (1)

a = 8 - 7 = 1

that is 1 adult ticket and 7 student tickets were purchased