you can get the max points i can give for this :)

Answer:

Step-by-step explanation:

if we have a rectangle with W=90 and L=120, and we need to find the diagonal

we will have a right triangle with the legs 90,120

diagonal is the hypothenuse

c^2=90^2+120^2=8100+14400=22500

c=sqrt22500=150

the diagonal, c=150

The correct answer is option A. "Brand P will be $118.26 cheaper than Brand Q." The brand that will have the lower lifetime cost after six years and by how much are to be determined when Robert plans on using his deep fryer about eight times per month.

Hence, the total number of times the deep fryer will be used for six years is:

8 times/month x 12 months/year x 6 years = 576 times

Firstly, let's calculate the lifetime cost of Brand P:

Cost of Deep Fryer: $144.00

Cost per use: $0.49 (electricity + oil)

Number of uses: 576

Lifetime cost:\($144.00 + ($0.49 x 576) = $417.84\)

Lifetime cost of Brand Q is to be calculated now:

Cost of Deep Fryer: $37.50

Cost per use: $0.75 (electricity + oil)

Number of uses: 576

Lifetime cost: \($37.50 + ($0.75 x 576) = $481.50\)

Therefore, Brand P will have a lifetime cost of $417.84 and Brand Q will have a lifetime cost of $481.50 after six years.

We can find the difference between the two amounts: \(481.50 - 417.84 = 63.66\)

The difference between the lifetime cost of Brand P and Brand Q will be $63.66.

However, we have to consider the amount of money saved by purchasing Brand P instead of Brand Q.

Hence, Brand P will be $118.26 cheaper than Brand Q, and thus, option A, "Brand P will be $118.26 cheaper than Brand Q" is the correct answer.

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Answer:

4/3 i think

Step-by-step explanation:

(2+14)/(3+9)

Answer:

4

Step-by-step explanation:

Answer:

The coordinates of its image are (-4, -3), (-7, -3), (-5, -5), (-2, -5)

Step-by-step explanation:

Let us solve the question

∵ Parallelogram FGHJ has vertices at F (4, 4), G (7, 4), H (5, 2), J (2, 2)

∵ The parallelogram is translated down 7 units

∴ k = 7

→ By using the first rule above, subtract every y-coordinates by 7

∴ F' = (4, 4 - 7) = (4, -3)

∴ G' = (7, 4 - 7) = (7, -3)

∴ H' = (5, 2 - 7) = (5, -5)

∴ J' = (2, 2 - 7) = (2, -5)

∵ The parallelogram is reflected over the y-axis

→ By using the 2nd rule above, change the sign of each x-coordinate

∴ F" = (-4, -3)

∴ G" = (-7, -3)

∴ H" = (-5, -5)

∴ J" = (-2, -5)

∴ The coordinates of its image are (-4, -3), (-7, -3), (-5, -5), (-2, -5)

Answer:

4.4      5.2    7.4    and    2.2

Step-by-step explanation:

By using function, it can be concluded that-

The predictor variables are bed, bath, floor

What is function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

In a function y = f(x), x is the independent variable and y is the dependent variable.

The price of an apartment is dependent on the number of bedrooms, bathrooms and the floor of the apartment

So the required function is p = f(bed, bath, floor) where p is the price of the apartment

The predictor variables are bed, bath, floor

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Answer:

The total cost is $ 589.06

Step-by-step explanation:

Answer:

$838.72

Step-by-step explanation:

$765.95 x 1.095 = $838.72

Sara's mom average speed is 66mph. The next step is to divide the distance by the time: 33/0.5 = 66 mph.

You may estimate the average pace at which an object will go a distance by looking at its average speed. Average speed is calculated by dividing a quantity by the time required to obtain that quantity.

Finding the distance and the time is necessary to calculate speed.

In this situation, you must deduct mile marker 88 from 121 to determine the distance.

121 - 88 = 33mile

Even though the time is 30 minutes, you're probably interested in miles per hour. 30 minutes must be converted to 0.5 hours.

The next step is to divide the distance by the time: 33/0.5 = 66 mph.

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We can find the perimeter of a rectangle by means of the formula:

Where a and b are the length of the sides of the rectangle

To find the area of the rectangle, we can use the formula:

Then for each rectangle, we have:

First rectangle, sides: 5ft and 12.5 ft

-Perimeter:

Then, the perimeter of the first rectangle equals 35 feet

-Area:

Then, the area of the rectangle equals 62.5 ft^2

Second rectangle, sides: 15m and 8.2m

-Perimeter:

Then, the perimeter of the rectangle equals 46.4 m

-Area:

Then, the area of this rectangle equals 123 m^2

\(\bf \colorbox{black} {\bf {\textcolor{blue}{topic = }{ \bf { \textcolor{orange}{mathematics = }{ \bf{ \textcolor{cyan}{answer = }}}}}}}\)

M.C.M=

\( \bf \textcolor{red}{ \huge{48}}\)

3-16-2|2

3-8-1 |2

3-4-1 |2

3-2-1 |2

3-1-1 |3

1-1-1

2⁴•3

M.C.M=

2•2=4

2•2=4

4•4=16

16•3=48

\( \bf \textcolor{green}{ \underbrace{48}}\)

Given :

Devon purchased a new car valued at $16,000 that depreciated continuously at a rate of 35%.

Its current value is $2,000.

To Find :

Age of car.

Solution :

Price of car after 1 year :

\(P_1=P_o(1-0.35)\)

Price of car after 2 year :

\(P_2=P_1(1-0.35)\\\\P_2=[P_o(1-0.35)](1-0.35)\\\\P_2=P_o(1-0.35)^2\)

So, price of car after n years.

\(P_n=P_o(1-0.35)^n\)

\(2000=16000(1-0.35)^n\\\\0.65^n=0.125\\\\n\times log(0.56)=log(0.125)\\\\n=\dfrac{log(0.125)}{log(0.56)}\\\\n=3.58\)

Therefore, age of car in nearest whole number is 4 years.

Hence, this is the required solution.

The value of angle θ is approximately 30 degrees.

We have,

We'll use the properties of sine and cosine functions and the unit circle.

Given that sin(θ) = 0.5 and cos(θ) = 0.866.

Using the Pythagorean identity: sin²(θ) + cos²(θ) = 1

Substituting the given values:

(0.5)² + (0.866)² = 1

0.25 + 0.749156 = 1

0.999156 ≈ 1

As the sum is approximately 1, it satisfies the Pythagorean identity.

Now, to find the value of angle θ, we can use inverse trigonometric functions:

θ = arcsin(0.5) ≈ 30 degrees (rounded to the nearest degree)

θ = arccos(0.866) ≈ 30 degrees (rounded to the nearest degree)

Note:

In trigonometry, angles can have multiple solutions due to periodicity.

In this case, both sine and cosine have the same value at 30 degrees and 150 degrees.

However, since we were not provided with the quadrant information, we consider the primary solution, which is approximately 30 degrees.

Thus,

The value of angle θ is approximately 30 degrees.

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The complete question:

Find the value of angle θ if sin(θ) = 0.5 and cos(θ) = 0.866.

The predicted weight of a lizardfish that is 12 cm long, based on the given model, is approximately 13.80 grams.

The predicted weight of a lizardfish that is 12 cm long, based on the given regression model lnW = -5.36 + 3.216lnL, is approximately 13.80 grams.

To calculate the predicted weight, we substitute the value of L = 12 cm into the regression equation. Taking the natural logarithm of both sides, we get:

lnW = -5.36 + 3.216ln(12)

Evaluating the right-hand side of the equation, we have:

lnW ≈ -5.36 + 3.216ln(12)

≈ -5.36 + 3.216(2.48491) [ln(12) ≈ 2.48491]

≈ -5.36 + 7.99604

≈ 2.63604

Taking the inverse of the natural logarithm (exponential function), we find:

W ≈ e^(2.63604)

≈ 13.80 grams

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Answer:

B

Step-by-step explanation:

As per the question, in context of mathematics the relation between 2 and 2 is equality relationship.

n mathematics, an equality relationship is a relationship between two quantities or expressions that are equal to each other. This relationship is represented using the equals sign (=).

Relations are important in mathematics because they allow us to describe and analyze the relationships between different quantities or values. Relations can be used to describe how two quantities are related to each other, such as whether they are equal, greater than, or less than each other.

The relationship between 2 and 2 is that they are both equal to each other. In mathematics, two is a number that is equal to the sum of one plus one. It is a cardinal number, which means it is used to count the number of objects in a set. Two is also an even number, which means it is divisible by 2 without a remainder.

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The day in Madrid at which the high temperature is expected to be closest to 75 degree Fahrenheit is 270.

Linear function is the function in which the highest power of the unknown variable is one. Linear functions are used to model the real life problem in the mathematical expressions.

The average daily high temperature in Madrid peaks at 92°f in the summer and drops as low as 33°f in the winter.

The temperature can be modeled by the following function,

\(t (d) = 29.5 \cos\left(\dfrac{2\pi}{365}(d-204)\right)+62.5\)

Here, d represents the day number of the year (january 1 is 1, january 2 is 2, and so on).

The day has to be find out when the temperature is at 75 degree Fahrenheit. Put the value of temperature 75 in the above equation as,

\(75 = 29.5 \cos\left(\dfrac{2\pi}{365}(d-204)\right)+62.5\)

On solving the above equation for cosine function, we get the two values of d as,

\(d\approx 138\\d\approx 270\)

From the given options, 270 is the correct one.

Thus, the day at which the high temperature is expected to be closest to 75 degree Fahrenheit is 270.

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Answer: Mann is correct

Step-by-step explanation:
EDGE

The top of the ladder is dropping at a rate of -5/24 ft/s (approximately -0.208 ft/s) when the base is 5 feet from the wall.To answer your question, we'll use the Pythagorean theorem for the right triangle formed by the ladder, wall, and ground.

Let x be the distance from the base of the ladder to the wall, and y be the distance from the top of the ladder to the ground. The ladder's length (13 ft) is the hypotenuse of the triangle.
According to the Pythagorean theorem:
x² + y² = 13²
When the base is 5 feet from the wall:
5² + y² = 13²
y² = 144
y = 12 ft
Now, we'll differentiate the equation with respect to time (t):
2x(dx/dt) + 2y(dy/dt) = 0
Given that the base is being pulled away at 0.5 ft/s (dx/dt = 0.5 ft/s), we can find the rate at which the top of the ladder is dropping (dy/dt) when x = 5 ft and y = 12 ft:
2(5)(0.5) + 2(12)(dy/dt) = 0
5 + 24(dy/dt) = 0
dy/dt = -5/24

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The top of the ladder is dropping at a rate of \(5/\sqrt(119)\)feet per second.

Let's begin by drawing a diagram of the situation:

           |\

           | \

           |  \   <-- ladder

           |   \

           |    \

           |     \

           |         \

           |______\

              wall

A right triangle formed by the ladder, the wall, and the ground.

Let's call the distance from the foot of the ladder to the wall "x" and the height of the ladder "y".

The ladder is 13 feet long and that the foot of the ladder is being pulled away from the wall at a rate of 0.5 feet per second.

The height of the ladder is changing when the foot of the ladder is 5 feet from the wall.

Using the Pythagorean theorem,

the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle.

It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.

This theorem can be written as an equation relating the lengths of the sides a, b and the hypotenuse c, often called the Pythagorean equation

\({\displaystyle a^{2}+b^{2}=c^{2}.}\)

The theorem is named for the Greek philosopher Pythagoras, born around 570 BC.

The theorem has been proven numerous times by many different methods – possibly the most for any mathematical theorem.

The proofs are diverse, including both geometric proofs and algebraic proofs, with some dating back thousands of years.

\(x^2 + y^2 = 13^2\)

Differentiating both sides with respect to time t, we get:

\(2x dx/dt + 2y dy/dt = 0\)

We want to find. \(dy/dt\) when \(x = 5\), so, we need to substitute. \(x = 5\) and \(dx/dt = 0.5\) into the equation above:

\(2(5)(0.5) + 2y dy/dt = 0\)

\(y dy/dt = -5\)

\(dy/dt = -5/y\)

Pythagorean theorem to solve for y when. \(x = 5\):

\(5^2 + y^2 = 13^2\)

\(y^2 = 144 - 25\)

\(y^2 = 119\)

\(y = \sqrt(119)\)

The foot of the ladder is 5 feet from the wall, the height of the ladder is:

\(y = \sqrt(119) feet\)

And the rate of change of the height of the ladder is:

\(dy/dt = -5/y = -5/\sqrt(119) feet per second\)

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The sum of all the eight interior angles of a regular octagon is first obtained using the general formula:

where n = number of sides of the regular polygon

For a regular octagon, n = 8, and so we have:

Now, we divide this total sum by the number of sides of the regular octagon in order to obtain the measure of an individual interior angle of the octagon, as follows:

Now, to find the sum of 7 interior angles of a regular octagon, we simply multiply an individual interior angle of the octagon by 7, as follows:

Therefore, the sum of 7 of the interior angles of a regular octagon is 945 degrees

Carolyn made an error in her work because she did not correctly distribute the negative in Step 3.

A system of equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point of the intersection.

You can solve a system of equations by the adding or substitution methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.

The question gives:3x-2y=7 (1)y=x+2The question shows that Carolyn applies the substitution method because she replaces the variable y (equation 2) in equation 1. See the given step 2.

3x – 2y = 7

3x – 2(x + 2) = 7

3x – 2x - 4 = 7 - here it is the mistake. (Carolyn did not correctly distribute the negative).

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To answer this question, we have to remember that:

Then, if (r - 5) is a factor of the given polynomial, if we substitute r by 5, that is, r = 5, into the polynomial, and if the result is zero, then the factor (x - 5) is a factor of the polynomial.

Then we have that:

Now, we have to evaluate the polynomial for x = 5:

Since r = 5 is a root of the equation f(r) = 0, then (r - 5) is a factor of f(r).

In summary, (r - 5) is a factor of the given polynomial:

Work Shown:

m = (y2 - y1)/(x2 - x1)

-4/3 = (a - (-3))/(-3 - 3)

-4/3 = (a+3)/(-6)

-4*(-6) = 3(a+3)

24 = 3a+9

3a+9 = 24

3a = 24-9

3a = 15

a = 15/3

a = 5

Step-by-step explanation:

the answer is in the above image

Answer:

61°

Step-by-step explanation:

(x+18)°=(4x-15)°alternate angles, because BC is parallel to AD

x°+18°=4x°-15°

18°+15°=4x°-x°

33°=3x°

33°/3°=3x°/3°

11=x

angle ABD

90°-(x+18)°. the sides of a rectangle meet at 90°

90°-(11+18)°

90°-(29)°

90°-29°

61°

Mr. Miller should clarify the difference between length and width and how they relate to the dimensions of a rectangular prism. He could use visual aids or examples to help his students understand the concept better.

Mr. Miller should:

1. Explain to his students that the terms length, width, and height in the formula for the volume of rectangular prisms can represent any of the three dimensions, as long as they are consistent throughout the calculation.
2. Remind his students that the volume of a rectangular prism can be calculated by multiplying its three dimensions (length, width, and height) together, regardless of the order.
3. Encourage his students to focus on understanding the concept of volume and how it relates to the dimensions of rectangular prisms, rather than getting caught up in the specific labels of the dimensions.

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Answer:

Step-by-step explanation:

A 2 × 2 matrix has 2 rows and 2 columns

Let us assume that matrix A is expressed as

a b

c d

The determinant of matrix A would be

(a × d) - (b × c)

Given that the determinant of matrix A is 3, it means that

ad + bc = 3

If we switch the rows, the first row becomes cd and the second row becomes ab. If we multiply the first row by 6 and the second row by 2, the matrix becomes

6c 6d

2a 2b

The determinant would be

(6c × 2b) - (2a × 6d)

Determinant = 12bc - 12ad

Answer:B 1 real zero

Step-by-step explanation:

Answer:

comparing the means of three or more groups

Step-by-step explanation:

Answer:

50.7202 ounces

Step-by-step explanation:

(500ml+1000ml) / (29.574 ml per ounce) = 50.72 US Fluid Ounces