Which of the following is a difference of perfect squares?

A). x^2+4
B). 9x^2-100
C). x^2-18
D). 4x^2+36

The measure of angle ABC is given as follows:

m < ABC = 55º.

First we look to the exterior angle of angle C in the bottom parallel line, as a ray is formed, hence the missing angle measure is given as follows:

50 + 75 + x = 180

125 + x = 180

x = 55º.

The exterior angle relative to angle B is supplementary with the angle of 55º, as they are consecutive angles, hence it’s measure is obtained as follows:

y + 55º = 180

y = 125º.

By the exterior angle theorem, an interior angle is supplementary with it’s respective exterior angle, hence the measure of angle ABC is given as follows:

m < ABC + 125 = 180

m < ABC = 55º.

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The surface area of the rectangular prism is 396 square inches

From the question, we have the following parameters that can be used in our computation:

7 in by 12 in by 6 in

The surface area of the rectangular prism is calculated as

Area = 2 * (7 * 12 + 7 * 6 + 12 * 6)

Evaluate

Area = 396

Hence, the area is 396 square inches

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Answer:

6* 2.2lb = 13.2 lb

Step-by-step explanation:

If 1 bag weights 2.2lb than 6 bags will weight 6 times more or:
2.2 lb * 6 = 13.2 lb

We can use the provided conversion factor, which states that 1 kg is equal to 2.2 pounds, to determine the weight of the cat food in pounds.

Since each bag of cat food weighs 6 kg, we can calculate the weight of 5 bags as follows.

5 bags of 6 kg each equal the total weight = 30 kg.

Now, we can convert the total weight from kilograms to pounds using the conversion factor:

Total weight multiplied by the conversion factor equals total weight in pounds.

= 30 kg x 0.2 lb/kg.

= 66 lbs.

Consequently, the cat food has a 66-pound weight when measured in pounds.

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Answer:

752.4

Step-by-step explanation:

Here we are provided with a decagon which has 10 sides.

The total interior angle is 360°.

So each will have 360/10 = 36 degrees

Half of that is 18 degrees inside the triangle.

Refer to the attachment below.

opposite = 16sin(18)

adjacent = 16cos(18)

Find the area of this triangle:

= 1/2 × 16sin(18) × 16cos(18)

= 37.61825

There are 20 triangles just like this so the total area is (37.61825 × 20) = 752.365 ≈ 752.4 unit2

Answer: 9 fish

Step-by-step explanation:

To find the answer all you have to do is multiply the amount of fish per gallon (0.12) to the total amount to gallons (75).

75 x 0.12 = 9

A 75-gallon aquarium will hold about 8 fish.

Stocking guidelines are 1 inch of adult fish per gallon of tank water. When applying this rule of thumb, we have to keep in mind that a 75 gallons water tank only holds about 70 gallons of water.

Then the number of fish in the tank would be:

Number of fish = density of fish * volume of water in the tank

Number of fish = 0.12 * 70

Number of fish = 8.4

So there are about 8 fish in the tank.

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The domain of the function f(x) is all real numbers except x = -7. In interval notation, we can express the domain as (-∞, -7) ∪ (-7, +∞).

To find the domain of the function f(x) = (x - 3)/(x + 7), we need to determine the values of x for which the function is defined.

The function is defined for all values of x except those that make the denominator, x + 7, equal to zero.

Division by zero is undefined in mathematics.

So, we set the denominator equal to zero and solve for x:

x + 7 = 0

x = -7

Hence, the only value that makes the denominator zero is x = -7. Therefore, the domain of the function f(x) is all real numbers except x = -7.

In interval notation, we can express the domain as (-∞, -7) ∪ (-7, +∞).

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Answer:

Step-by-step explanation:

lan is 1.83m tall. Donna is 6cm shorter. What is Donna's height in metres? 1.77m. Bath. √34°. 20m. 11m. 11x14. Work out the range. 3 8 4 8 3 5 9. 9-3=6.

The similarity between the cube and cuboid is that both have 12 edges.

option C.

A cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges.

So a cube is a three-dimensional solid figure, having 6 square faces and 12 edges.

A cuboid is a three-dimensional geometric shape that looks like a book or a rectangular box.

A cuboid can be defined as a three-dimensional solid shape that has 12 edges, 8 vertices, and 6 faces and each of its faces is rectangular in shape.

So the similarity between a cube and cuboid is that both have 6 faces and 12 edges.

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The contrapositive of the original conditional statement is B. If a number does not have a negative cube root, then the number is not negative.

In logic, the contrapositive of a conditional statement is a logically equivalent statement that switches the positions of the hypothesis and the conclusion, while also negating both.

The contrapositive maintains the logical validity of the original statement. If the original statement is true, then the contrapositive is also true, and vice versa.  "If a number is negative, then it has a negative cube root." The contrapositive of this statement would be: "If a number does not have a negative cube root, then the number is not negative."

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physical sciences 2023

Measure of angle 1 is,

Angler ACB = 36 degree

We have to given that;

In a parallelogram we get;

Angler CAD = 36 degree

Now, We know that;

Opposite sides are parallel to each other in a parallelogram.

Hence, We get;

Angler CAD = Angle ACB

Since, Angler CAD = 36 degree

Hence, We get;

Measure of angle 1 is,

Angler ACB = 36 degree

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The area of the larger square is 900% of the area of the smaller square.

Let's assume that the side of the smaller square is "s". Therefore, the area of the smaller square will be:

Area of smaller square = s²

Now, the sides of the square are increased by a scale factor of 3, which means that the new side length of the larger square will be 3s. The area of the larger square will be:

Area of larger square = (3s)² = 9s²

To find the percentage of the larger square with respect to the smaller square, we need to divide the area of the larger square by the area of the smaller square, and then multiply by 100:

(9s²/s²) x 100 = 900%

This means that the larger square is 9 times the area of the smaller square.

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Answer:

[tex]-61[/tex]

Step-by-step explanation:

[tex]\mathrm{We\ have\ f(}x)=-3x^2-2x+4\\\mathrm{Put}\ x=-5,\\\mathrm{f}(-5)=-3(-5)^2-2(-5)+4=-3(25)+10+4=-75+10+4=-61[/tex]

The animal that swims at a top speed of 0. 33 miles per minute would be the Dolphin .

To find the animal that swims at a top speed of 0. 33 miles per minute, you need to convert their top speeds in miles per hour to miles per minute.

For every 1 mile per hour, the equivalent in minutes is 0.0166667 miles per minute.

Speed of Swordfish is:

= 60 mph x 0.0166667

= 1 mile per minute

Speed of Tuna :

= 45 mph x 0.0166667

= 0. 75 miles per minute

Dolphin :

= 20 mph x 0.0166667

= 0. 33 miles a minute

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Answer: i think c

Step-by-step explanation:

Answer:

x ≈ 8.1

Step-by-step explanation:

using the cosine ratio in the right triangle

cos36° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] ( multiply both sides by 10 )

10 × cos36° = x , then

x ≈ 8.1 ( to the nearest tenth )

Answer:

Să rezolvăm această problemă pas cu pas. Să denotăm vârsta Denisei ca D, vârsta mamei sale ca M și vârsta tatălui ei ca F. Din informațiile date, putem scrie următoarele ecuații:

M = D + 27 (Denisa are cu 27 de ani mai puțin decât mama ei) F = M + 1 (mama Denisei are cu un an mai puțin decât tatăl ei) F = 5D (Denisa este de cinci ori mai tânără decât tatăl ei)

a) Din ultima ecuație, putem vedea că Denisa este F - D cu ani mai tânără decât tatăl ei. Înlocuind F cu 5D, înțelegem că Denisa este 5D - D = 4D cu ani mai tânără decât tatăl ei.

b) Pentru a determina vârsta Denisei, putem rezolva sistemul de ecuații. Din prima ecuație, obținem acel M = D + 27. Înlocuind acest lucru în a doua ecuație, obținem acel F = D + 27 + 1 = D + 28. Înlocuind acest lucru în a treia ecuație, obținem acel D + 28 = 5D. Rezolvând pentru D, obținem acel D = 7.

Deci Denisa are 7 ani.

Answer:

Denisa are 7 ani

Step-by-step explanation:

Answer:

 r=5.9

Step-by-step explanation:  

The function f(x) = 1/x³ is indeed a decreasing function for x > 0.

To show that the function f(x) = 1/x³ is a decreasing function, we need to demonstrate that the derivative of f(x) is negative for all x > 0.

Let's calculate the derivative of f(x) with respect to x:

f'(x) = d/dx (1/x³)

Using the power rule for differentiation, we can rewrite the expression as:

[tex]f'(x) = (-3) / x^{(3+1)[/tex]

Simplifying further, we have:

f'(x) = -3 / x⁴

Now, to show that f(x) is decreasing, we need to prove that f'(x) < 0 for all x > 0.

Substituting x = 1 in f'(x), we get:

f'(1) = -3 / 1⁴ = -3

Since -3 is negative, we can conclude that f'(x) < 0 for all x > 0.

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The values of the function are 5 and 1.5 and the domain is,

⇒ - ∞ < x < ∞

Here, The equation of the function is given as

f(x) = 5 (1.3)ˣ

The above function is an exponential function.

An exponential function is represented as

f(x) = abˣ

Where

a represents the initial value, b represents the rate of growth or decay

While x and f(x) are the input and output values

Hence, By comparison, we have

a = 5 and b = 1.3

This means that the function values are 5 and 1.3.

Since, the function is an exponential function.

The domain of an exponential function is the set of all real values

Hence, the domain of f(x) is the set of all real values.

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Answer:

14

Step-by-step explanation:

14.5 to 1

205/14.5 = 14

Thomas Sowell's speech "Morality vs. Sanctimoniousness" addresses the distinction between genuine moral actions and the outward appearance of moral superiority.

The keynote of his speech is to prioritize practical and fruitful measures over merely appearing sensible or righteous. According to Sowell, it is crucial to solve prevalent social problems with pragmatic, yet effective solutions instead of adopting self-righteous attitudes that lack meaningful outcomes.

Essentially, he opines that authentic ethical principles should be anchored in consideration for others' welfare and empirical evidence rather than being fueled by personal moral validation or pretentiousness.

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Based on the fraction of the sugar sprinkled on the Brownies, Brandon sprinkles 0.4 cups of sugar on the brownies

The amount of sugar sprinkled on the Brownies by Brandon is determined as follows:

Data given:

Brandon sprinkles 1/10 of the sugar onto the plate of brownies

Since he has 4 cups of powdered sugar in total

The amount of sugar he sprinkles on the brownies can be calculated as:

The amount of sugar he sprinkles on the brownies = 1/10 * 4 cups

The amount of sugar he sprinkles on the brownies  = 0.4 cups

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Answer:

P(d) = 0; 14 days

Step-by-step explanation:

First part of answer:  Setting P(d) = 0 would allow us to find the day Sandra finishes since P represents the pages remaining the book will be finished when there are 0 pages left to read.

Second part of answer:  We can solve the equation P(d) = 0 = 420 - 30d to see how it would take 14 days to finish the book and have 0 pages left to read:

Step 1:  Subtract 420 from both sides:

(0 = 420 - 30d) - 420

-420 = -30d

Step 2:  Divide both sides by -3 to solve for d:

(-420 = -30d) / -30

14 = d

The amount in the account after 4 years, rounded to the nearest cent, will be approximately $17,332.8.

Recall the compounding formula:

A = P * [tex]e^{rt}[/tex]

Where:

A = Final amount in the account

P = Initial principal (deposit)

e = Euler's number (approximately 2.71828)

r = Annual interest rate (as a decimal)

t = Time in years

Given:

Initial principal (P) = $16,000

Annual interest rate (r) = 2%  = 0.02

time (t) = 4 years.

Substitute these values into the formula, we get:

A = $16,000 * [tex]e^{0.02 * 4}[/tex]

Using a calculator, we can calculate:

A = $16,000 * [tex]e^{0.08}[/tex]

A = $16,000 * 1.0833

A = $17,332.8

Therefore, the amount in the account after 4 years, rounded to the nearest cent, will be approximately $17,332.8.

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Answer:

0.24ft

7m

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

The correct statement is: The temperature of the object is decreasing exponentially by 0.007% each minute.

Step-by-step explanation:

The exponential term in the function, [tex]e^{0.007 h}[/tex], is greater than 1. This means that the temperature is increasing over time.

However, the exponent is very small, so the increase in temperature is very slow. In fact, the temperature is increasing by only -0.007% each minute.

We can use the following formula to calculate the percent change in temperature each minute.

[tex]\boxed{\bold{Percent\: change = \frac{(new \:value - \:old \: value) }{ old\:value }* 100\%}}[/tex]

In this case, the new value is the temperature after one minute, and the old value is the temperature at the start of the minute.

So, the percent change in temperature is:

[tex]= \frac{10 + 160e^{-0.007 * 1} - 10) }{ 10} * 100\%[/tex]

≈ -0.007%

Therefore, the temperature of the object is decreasing exponentially by 0.007% each minute.

The conversion of 3185 degrees to minutes and seconds is 19 minutes and 6.6 seconds

From the question, we have the following parameters that can be used in our computation:

Degrees = 0.3185

By definition, there are 60 minutes in a degrees

So, we have

Minutes = 0.3185 * 60

Evaluate the product

Minutes = 19.11

The decimal part of the product above represents the number of seconds

So, we have

Minutes = 19

Seconds = .11 * 60

Evaluate

Seconds = 6.6

Hence, .3185 degrees is 19 minutes and 6.6 seconds

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