HELP....I am very bad a math...will mark brain..

Answer:

Step 4 is incorrect ⇒ C

Step-by-step explanation:

Let us check step by step

∵ sin(x + y)

∵ sin(z) = cos(\(\frac{\pi}{2}\) - z)

→ Replace z by (x + y)

∴ sin(x + y) = cos(\(\frac{\pi }{2}\) - [x + y])

∴ Step 2 is correct

∵ cos(\(\frac{\pi }{2}\) - [x + y]) = cos(\(\frac{\pi }{2}\) - x - y])

∵ take [\(\frac{\pi }{2}\) - x] as the 1st angle and y as the 2nd angle

∴ cos(\(\frac{\pi }{2}\) - x - y]) = cos([\(\frac{\pi }{2}\) - x] - y)

∴ Step 3 is correct

∵ cos(a - b) = cos(a)cos(b) + sin(a)sin(b)

→ Replace a by ([\(\frac{\pi }{2}\) - x] and b by y

∴ cos([\(\frac{\pi }{2}\) - x] - y) = cos(\(\frac{\pi }{2}\) - x)cos(y) + sin(\(\frac{\pi }{2}\) - x)sin(y)

∴ Step 4 is incorrect, the second angle is y not (-y)

∵ cos(\(\frac{\pi }{2}\) - x) = sin(x)

∵ sin(\(\frac{\pi }{2}\) - x) = cos(x)

∴ cos(\(\frac{\pi }{2}\) - x)cos(y) + sin(\(\frac{\pi }{2}\) - x)sin(y) = sin(x)cos(y) + cos(x)sin(y)

∴ Step 5 is correct

Answer:

C. Step 4

Step-by-step explanation:

got it right on edge :)

Answer:

5^8/5^6 = 5^(8-6) = 5^2 = 25. Therefore, 5^8/5^6 simplified to a single power of 5 is 25.

Step-by-step explanation:

Answer:

the answer for that is 5^6-3 = 5^3 = 125

Step-by-step explanation:

Answer:

x = 20

y = 30

Step-by-step explanation:

Answer:

x = 20

y = 30

Step-by-step explanation:

y = 3x - 30

2x + 2y = 100

2x + 2(3x - 30) = 100

2x + 6x - 60 = 100

8x - 60 = 100

8x = 160

x = 20

y = 3(20) - 30

y = 60 - 30

y = 30

The volume of the rectangular building is 2,731,050 feet³ depending on the given height, base and width.

The volume of the building will be calculated by the formula -

Volume = length × breadth × height

Thus, keeping the value of each component of building in the formula to find the volume of the building.

Volume of building = 255 × 255 × 42

Performing multiplication on Right Hand Side of the equation to find the value of volume

Volume of building = 2,731,050 feet³

Therefore, the volume of the building is 2,731,050 feet³.

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Answer:

(6.5,4)

Step-by-step explanation:

First write the formula of finding the midpoint...

step 1: M=(x1+x2÷2,y1+y2÷2)

step 2:substitute for coordinates x1,x2,y1 and y2

step 3:(8+5÷2,2+6÷2)

step 4:(13÷2,8÷2)

then you get the answer...which is

step 5: (6.5,4)

im done

Answer:

(6.5,4)

Step-by-step explanation:

Answer:

2 and 9

Step-by-step explanation:

Answer:

ANSWER IS C: 71.80

Step-by-step explanation:

hope this helps :D you got this!!

The amount that corresponds to the new monthly payment of Jose is approximately $75.34. Hence, option D is correct.

Credit cards are a widely used financial tool that allow individuals to make purchases on credit. The main use of a credit card is to allow the cardholder to borrow money from the card issuer

If Jose decides to pay off Credit Card B using his savings of $1,750, he will have a remaining balance of $1,154 on Credit Card A.

If he transfers the balance of Credit Card A to the new card with a low introductory rate of 8%, he will incur a balance transfer fee of $60.

The total balance transferred =  $1,154 + $60 = $1,214.

To determine his new monthly payment, we need to calculate the monthly interest rate on the new card.

At an annual interest rate of 8%, the monthly interest rate is :

8% / 12 = 0.67%.

Using an online loan calculator or spreadsheet, we can calculate that the monthly payment required to pay off a balance of $1,214 in 18 months at a monthly interest rate of 0.67% is $75.34 (rounded to the nearest cent).

Therefore, the answer is D. $75.34, which represents Jose's new monthly payment.

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Let:

A = Unlock the table on the first try

a = Number of Possible right digits

N = Total number of possible digits

the probability the spy is able to unlock the tablet on his first try is:

Answer:

(-1,1) because -1 and 1 are not inclusive

Step-by-step explanation:

from x = -1 to x = 1, the y-value keeps decreasing from 4 to 2

there is another one, (3,5)

Answer:

the least common denominator is 12

The function f(x) is continuous at x = 0.

The function f(x) is discontinuous at x = 1 and x = 2.

The function f(x) is continuous for all other values of x within its domain.

Therefore, the correct answer is option D) Discontinuous only at x = 2 and x = 4.

To determine if a function is continuous at a specific point, we need to check if the function's limit exists at that point and if the limit is equal to the value of the function at that point.

Let's analyze the function f(x) = {-x² + 1, -1 ≤ x < 0

{5x, 0 < x < 1

{-5, x = 1

{1, 1 < x < 3

{3, 3 < x < 5

{-5x + 10, 1, 6

a) At x = 0:

The function has two different definitions for x approaching 0 from the left (-1 ≤ x < 0) and from the right (0 < x < 1). Since both definitions are continuous within their respective intervals, the function is continuous at x = 0.

b) At x = 1:

The function has a jump discontinuity at x = 1. The limit of the function as x approaches 1 from the left is 5, while the value of the function at x = 1 is -5. Therefore, the function is discontinuous at x = 1.

c) At x = 2:

The function has a discontinuity at x = 2. The limit of the function as x approaches 2 from the left is 1, while the limit from the right is 3. Since the left and right limits do not match, the function is discontinuous at x = 2.

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The temperature in degrees Fahrenheit is approximately 77.4°F.

There are two widely used temperature scales in the world: Celsius and Fahrenheit. The freezing and boiling temperatures of water serve as the foundation for the Celsius scale, commonly referred to as the centigrade scale. According to this scale, the freezing point of water is 0°C, while the boiling point is 100°C.

On the other hand, a German physicist by the name of Daniel Gabriel Fahrenheit created the Fahrenheit scale. While it makes use of different reference points, this scale is similarly based on the freezing and boiling points of water.

The formula of the conversion is given by equation:

25 = 559/9 * (F - 32).

We can solve for F as follows:

25 = 559/9 * (F - 32)

25 * 9/559 = F - 32

F = 25 * 9/559 + 32

F ≈ 77.4

Therefore, the temperature in degrees Fahrenheit is approximately 77.4°F.

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The measurement units along with  the measured quantities are given as -

Measurement units are used to measure the total amount of any specific quantity.

Given are the units to measure the various quantities as given.

{a} -

Height of building is measured in meters.

The height of a building : meters

{b} -

Small quantities of mass is measured in grams.

The mass of a pen : grams

{c} -

The capacity of a paddling pool : liters

Therefore, the measurement units along with  the measured quantities are given as -

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Answer:

8/20= 4/5

25/60= 5/12

Step-by-step explanation:

8÷4

Answer:

25/60 = 5/12

8/20 = 2/5

The Ratios do not form a proportion

Step-by-step explanation:

25/60:

25 ÷ 5/60 ÷ 5

= 5/12

8/20:

8 ÷ 4/20 ÷ 4

= 2/5

5/12 ≠ 2/5

The ratios are not proportional.

The app was downloaded 1120 times for Tory to earn $380.

A linear equation is in the form:

y = mx + b;

where y, x are variables,  m is the rate of change and b is the initial value of y.

Let y represent the total money paid to download the app x times.

The company pay him $100 plus $0.25 every time the app is downloaded. hence b = 100, m = 0.25

y = 0.25x + 100

For making 380:

380 = 0.25x + 100

280 = 0.25x

x = 1120

Therefore the app was downloaded 1120 times for Tory to earn $380.

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The performance rating increased by 2 points 2.04 would happen to the attitude rating.

The slope and the intercept values are given, the equation of a line can be found easily. So, it is also known as the slope and intercept form.

The standard form to represent the equation of a line is as follows:

Given

Managers at a company rate employees on performance and attitude and find that an employee's attitude depends on their performance.

They find a linear relationship and the line of best fit is y = 11. 7 + 1.02x.

The performance rating increased by 2 points what would happen to the attitude rating is;

\(\rm = 1. 02 x\\\\=1.02 \times 2\\\\= 2.04\)

Hence, the performance rating increased by 2 points 2.04 would happen to the attitude rating.

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There are multiple combinations of length and width that can give us an area of 6 cm2. It is important to note that the length and width of a rectangle are interchangeable. This means that if we switch the length and width in any of the above combinations, we will still get the same area of 6 cm2.

Yes, I can definitely help you with that! However, there are multiple possible length and width combinations for a rectangle with an area of 6 cm².

Firstly, let's recall the formula for the area of a rectangle which is:

Area = Length x Width

We know that the area of the rectangle is 6 cm², but we do not have any specific measurements for the length or width. Therefore, we need to find the possible combinations of length and width that will give us an area of 6 cm².

Here are some of the possible combinations:

- Length = 1 cm and Width = 6 cm
- Length = 2 cm and Width = 3 cm
- Length = 3 cm and Width = 2 cm
- Length = 6 cm and Width = 1 cm

As you can see, there are multiple combinations of length and width that can give us an area of 6 cm². It is important to note that the length and width of a rectangle are interchangeable. This means that if we switch the length and width in any of the above combinations, we will still get the same area of 6 cm².

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The length of arc length is,

⇒ Arc length = 1,365 m

And, Area of the bold sector is,

⇒ A = 83.3 m²

We have to given that,

In a circle,

Radius = 7 m

Central angle = 195 degree

Since, We know that,

The length of arc length is,

s = r × θ

Where, r is radius and θ is central angle.

Substitute all the values, we get;

Arc length = 7 x 195

Arc length = 1,365 m

And, We know that,

Area of sector is,

⇒ A = (θ/360) πr²

Substitute all the values, we get;

⇒ A = (195/360) × 3.14 × 7²

⇒ A = 83.3

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The rewritten expression using a common factor is:

4x + 16 = 4*(x + 16)

Here we want to rewrite the expression:

4x + 16

Ussing a common factor, so let's factorize the terms.

The first one is simple:

4x = 4*x

The second one is also simple, we can write:

16 = 4*4

Then the common factor is 4, and we can rewrite the expression as:

4x + 16 = 4*(x + 16)

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Answer: x=-3 can you mark me brainlyest thanks

Step-by-step explanation:

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

3x-18=3x+6x

3x-18=9x

-3x      -3x

-18=6x

__   __

6      6

x=-3

The perimeter of the rectangle is 60 cm.

We have,

The square perimeter = 20 cm

This means,

Each side of the square = 20/4 = 5 cm

Now,

From the rectangle figure,

Length = 5 + 5 + 5 + 5 = 20 cm

Width = 5 + 5 = 10 cm

So,

The perimeter of the rectangle.

= 2 (length + width)

= 2 x (20 + 10)

= 2 x 30

= 60 cm

Thus,

The perimeter of the rectangle is 60 cm.

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Answer:

The scale factor is 4

Step-by-step explanation:

Assuming that the center of the dilation is the origin (0,0).  I hope the picture is clear enough to read.

The function h(x) = 2√(x + 2) - 3 is an increasing function at  (-2, ∞).

Mathematicians use a procedure called differentiation to determine a function's instantaneous rate of change based on one of its variables.

Given:
A function,

h(x) = 2√(x + 2) - 3.

Differentiation with respect to x,

we get,

h'(x) = \(\frac {1}{sqrt (x + 2)}\)

x > (-2, ∞)

Here, h'(x) > 0.

Therefore, the function is increasing in the interval at (-2, ∞).

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Answer:

The answer should be about 114.

Step-by-step explanation:

Of you look at the shape of the other angles. B and D seem to be about 90 and the shape of A is just a little bit bigger than ninety. I started by adding 78, 90, and 90 together which gave me 246. Then I subtracted 246 from 360 which gave me 114. I had estimated the answer to be around 110.

Answer:

B

Step-by-step explanation:

B..................

Answer:

0

Step-by-step explanation:

\(\frac{y2-y1}{x2-x1}\)

\(\frac{5-5}{-17-(-9)}=\frac{0}{-8} =0\)

slope=0

Answer:

The speed of light in a vacuum is 186,282 miles per second

Step-by-step explanation:

The speed of light in a vacuum, commonly denoted c, is a universal physical constant that is important in many areas of physics.Its exact value is defined as 299 792 458 metres per second (approximately 300 000 km/s or 186 000 mi/s). It is exact because, by international agreement, a meter is defined as the length of the path traveled by light …

kilometers per hour: 1080000000

meters per second: 299792458

miles per hour: 671000000

Exact value of the definite integral is 320. Comparing the results: Exact value of the definite integral = 320, Trapezoidal Rule approximation (n = 4) = 340, Simpson's Rule approximation (n = 4) ≈ 246.6667.

What is trapezoid?

A trapezoid is a quadrilateral (a polygon with four sides) that has one pair of parallel sides. The parallel sides are called the bases of the trapezoid, while the non-parallel sides are called the legs.

To approximate the value of the definite integral ∫[0, 4] 5x * x^2 dx using the Trapezoidal Rule and Simpson's Rule, we need to specify the value of n, which represents the number of subintervals.

Let's calculate the approximations using n = 4 for both methods:

Trapezoidal Rule:

Using n = 4, we divide the interval [0, 4] into four subintervals of equal width: h = (4 - 0) / 4 = 1.

The approximated value using the Trapezoidal Rule is given by:

\(T_4 = (h/2) * [f(x_0) + 2f(x_1) + 2f(x_2) + 2f(x_3) + f(x_4)]\)

Plugging in the values:

\(T_4 = (1/2) * [f(0) + 2f(1) + 2f(2) + 2f(3) + f(4)]\\\\= (1/2) * [5(0)(0^2) + 2(5)(1)(1^2) + 2(5)(2)(2^2) + 2(5)(3)(3^2) + 5(4)(4^2)]\\\\= (1/2) * [0 + 10 + 80 + 270 + 320]\\\\= (1/2) * 680\\\\= 340\)

Simpson's Rule:

Using n = 4, we divide the interval [0, 4] into four subintervals of equal width: h = (4 - 0) / 4 = 1.

The approximated value using Simpson's Rule is given by:

\(S_4 = (h/3) * [f(x_0) + 4f(x_1) + 2f(x_2) + 4f(x_3) + f(x_4)]\)

Plugging in the values:

\(S_4 = (1/3) * [f(0) + 4f(1) + 2f(2) + 4f(3) + f(4)]\\\\= (1/3) * [5(0)(0^2) + 4(5)(1)(1^2) + 2(5)(2)(2^2) + 4(5)(3)(3^2) + 5(4)(4^2)]\\\\= (1/3) * [0 + 20 + 40 + 360 + 320]\\\\= (1/3) * 740\\\\= 246.6667\)

Exact value of the definite integral:

∫[0, 4] 5x * \(x^2\) dx = [(5/4) * \(x^4\)] evaluated from 0 to 4

\(= (5/4) * 4^4 - (5/4) * 0^4\\\\= (5/4) * 256 - (5/4) * 0\\\\= 320 - 0\\\\= 320\)

Comparing the results:

Exact value of the definite integral = 320

Trapezoidal Rule approximation (n = 4) = 340

Simpson's Rule approximation (n = 4) ≈ 246.6667

As we can see, the Trapezoidal Rule approximation is slightly greater than the exact value, while Simpson's Rule approximation is less than the exact value.

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Answer: 60 meters

Step-by-step explanation:

Let x be distance

4x = 2.5x + 15

Convert everything into seconds:

4cm/sec = 2.5 cm/sec + 15 * 60

4x = 2.5x + 900

Then you solve the problem:

x=600

Then convert into meters:

x=60 meters