I will give you brainliest and 5 star and thanks if its correct

Andrew made a mistake in Step 4 of his work. He incorrectly applied the associative property. To correct his work, Andrew should use the distributive property instead. Here's the correct step-by-step explanation:

Step 1: Start with the original problem: -4.5 + 4.2 + 5.6 - 7.3

Step 2: Apply the additive inverse to -7.3: -4.5 + 4.2 + 5.6 + (-7.3)

Step 3: Rearrange the terms using the commutative property: (-4.5 + 4.2) + 5.6 + (-7.3)

Step 4: Use the distributive property: -0.3 + 5.6 + (-7.3)

Step 5: Simplify the expression: -0.3 + 5.6 - 7.3 = -2

Andrew mistakenly used the associative property in Step 4 instead of the correct property, which is the distributive property. By correcting this mistake, the simplified expression is -2.

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To find the Taylor polynomial of degree two approximating the function f(x) = cos(2x) centered at a, we'll follow these steps:

1. Find the first three derivatives of f(x).
2. Evaluate the derivatives at the given point a.
3. Use the Taylor polynomial formula.

Step 1: Find the first three derivatives of f(x).

f(x) = cos(2x)
f'(x) = -2*sin(2x)
f''(x) = -4*cos(2x)

Step 2: Evaluate the derivatives at the given point a.

f(a) = cos(2a)
f'(a) = -2*sin(2a)
f''(a) = -4*cos(2a)

Step 3: Use the Taylor polynomial formula.

The Taylor polynomial of degree two is given by:

P₂(x) = f(a) + f'(a)*(x-a) + (1/2)*f''(a)*(x-a)²

Substitute the values we found in Step 2:

P₂(x) = cos(2a) - 2*sin(2a)*(x-a) + (-2)*cos(2a)*(x-a)²

So, the Taylor polynomial of degree two approximating the function f(x) = cos(2x) centered at a is:

P₂(x) = cos(2a) - 2*sin(2a)*(x-a) - 2*cos(2a)*(x-a)²

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Answer:

Area= l+b) ×2

6.5x+5ft +5ft

13x+20ft

the growth factor is simply the same amount, but in decimal format, so what is 5.1% of anything?

\(\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{5.1\% of anything}}{\left( \cfrac{5.1}{100} \right)anything}\implies 0.051(anything)\)

so the growth factor is simply the decimal format of 0.051.

As a result, 23.2 x 0.14 equals 3.248.

One of the four fundamental math processes, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual adding of sets of identical size.

To multiply 23.2 and 0.14,

  23.2

x 0.14

---------

  32.48   (0.2 x 0.14 = 0.028, write down 8 and carry over 2)

+ 232.0   (3 x 0.14 = 0.42, add carried over 2 to get 4, write down 0 and carry over 4)

--------

 3.248   (the final answer)

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Answer:

honestly,I also really didn't know the ans so I took it from internet. hope you won't mind

Answer:

1.) 12:30am

2.) 7:00pm

3.) 22:55 or 10:55pm

4.) 12:15am

5.) 5:38am

Step-by-step explanation:

Not me having to turn the clock on my phone to military time to make sure my answers were right XD

Answer:

y=1/2*(x-4)^2+13

Step-by-step explanation:

Answer:

y=1/2*(x-4)^2+13

Step-by-step explanation:

Answer: 1.11

Step-by-step explanation:

To find the range of the data set all you have to do is subtract the higher number with the lowest number, so in this math problem, we will take 1.75- 0.64 and we get 1.11 :]

Answer:

10

Step-by-step explanation:

I can't write it out, sorry!

Answer:

x = 10

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² = 6² + 8² = 36 + 64 = 100 ( take square root of both sides )

x = \(\sqrt{100}\) = 10

Given in the scenario:

a.) Marjorie bought 24 bottles of juice.

b.) Each day she opens and drinks 2 of these bottles of juice.

The inequality that represents the greatest number of days she can continue before she has to replenish her stock is:

Marjorie has to replenish her stock when it is lesse

Answer:

C)  x = 3

Step-by-step explanation:

factor out a 2 to get:

2(x² - 6x + 9) = 0

(x-3)² = 0

x = 3

Answer and Step-by-step explanation:

First, to find the zeros of the function, we can take out a common factor from the equation, and then factor.

The equation has a common factor of 2 (so distribute of the 2 from all of the numbers).

2(\(x^2 - 6x + 9\))

Now, we factor. Find two numbers that multiplies to \(9x^2\) and adds up to -6x.

-3x and -3x.

Now, we substitute these two for -6x.

\(2(x^2 - 3x-3x+9)\)

Factor.

\(2(x - 3)(x-3)\)

Finally, we set all of the values to 0 and solve for x.

2 ≠ 0

x - 3 = 0    x = 3

x - 3 = 0    x = 3

That means the answer is C. x = 3

(Not shown, but the multiplicity of this x value is 2, because there are two

x = 3)

#teamtrees #PAW (Plant And Water)

To find the vertical asymptotes of a rational function, we need to set the denominator equal to zero and solve for x.

To find the vertical asymptotes of a rational function, you need to determine the values of x that make the denominator of the function equal to zero.

Let's check the limit of our example function as x approaches each of the vertical asymptotes:

As x approaches 1 from the left side: f(x) approaches negative infinity

As x approaches 1 from the right side: f(x) approaches positive infinity

Therefore, x = 1 is a valid vertical asymptote.

As x approaches 3 from the left side: f(x) approaches positive infinity

As x approaches 3 from the right side: f(x) approaches negative infinity

Therefore, x = 3 is also a valid vertical asymptote.

The values of x that make the denominator zero are the vertical asymptotes of the function.

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The table of values that represents exponential decay is (c)

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

The table of values

An exponential function is represented as

y = abˣ

Where

Rate = b

When the rate is less than 1, then the table represents a decay

i.e when y reduces as x increases

The table that has the above features is the table (c)

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Answer:

I hate my math teacher

Step-by-step explanation:

I just hate him

Answer:

X=6

Step-by-step explanation:

140+8*6=50+23*6

140+48=50+138

188=188

To solve for a specified variable, you need to isolate that variable on one side of the equation by rearranging the formula.

In this case, we want to solve for "r" given that r.h=r-m 3.2.

To do this, we can start by moving all terms that don't have "r" to the other side of the equation. First, we can subtract "r.m" from both sides of the equation to get r.h-r.m=r-m 3.2-r.m.

Next, we can factor out the "r" on the left side of the equation to get r(h-m)=r-m 3.2-r.m.

Finally, we can divide both sides of the equation by (h-m) to isolate "r" and get r=(r-m 3.2-r.m)/(h-m).

So, the solution for "r" is r=(r-m 3.2-r.m)/(h-m).

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Answer:

(B) and (C)

Step-by-step explanation:

B and C

Step-by-step explanation:

\(( \frac{3}{8})^{3} \)

\(( \frac{3}{8})( \frac{3}{8})( \frac{3}{8}) \)

\( \frac{27}{512} \)

hope it's helpful ❤❤❤❤❤❤❤

THANK YOU.

Answer:

\( \displaystyle a) \: {x}^{ \circ} = 21.8 ^{ \circ} \)

Step-by-step explanation:

we are given opposite and adjacent

we want to figure out x°

remember that,

\( \displaystyle \: \tan( \theta) = \frac{opp}{adj} \)

where our opp is 5 and adj is 12.5

let \(\theta\) be x°

so

\( \displaystyle \: \tan( {x}^{ \circ} ) = \frac{5}{12.5} \)

\( \displaystyle \: {x}^{ \circ} = \arctan \left( \frac{5}{12.5} \right)\)

by using calculator

\( \displaystyle \: {x}^{ \circ} = 21.8\)

hence,

our answer is a

Answer:

B: $21

Step-by-step explanation:

The solution of the differential equation is given by y = (1/2) x²/11 + 359/22.

Given differential equation is dy/dx = x/11, and it should pass through (1, 16).We have to find the solution of the differential equation.

The given differential equation is,

dy/dx = x/11

Now, we will integrate both sides of the equation with respect to x. We will get\(,∫dy = ∫x/11dx\)On integrating, we get,

y = (1/2) x²/11 + C ------(1)

Where C is the constant of integration.

Now, the equation should pass through (1, 16).Hence, on substituting the value of x and y in equation (1), we get16

= (1/2) (1²)/11 + C16

= 1/22 + CC

= 359/22.

Therefore, the solution of the differential equation is

y = (1/2) x²/11 + 359/22.

Hence, we can write the answer as follows: The differential equation is given by dy/dx = x/11.

After solving the differential equation and using the given point (1,16), the solution of the differential equation is given by y = (1/2) x²/11 + 359/22.

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The percentage of data that lies within 2 standard deviations of the mean in a normal distribution is 95%.

A normal distribution is a probability distribution that is symmetric around the mean of the distribution. This means that the there are more data around the mean than data far from the mean. A normal distribution is also known as the Gaussian distribution. When depicted on a graph, a normal distribution is bell-shaped.

For a normal distribution:

Please find attached an image of a normal distribution. A similar question was answered here: https://brainly.com/question/17101164

Answer:

I believe it is 95%

Step-by-step explanation:

The range of a particular artillery piece in miles, which has a range r of 8260 yards is 4.7 miles (approximately).

It is given in the question that 1 mile is equal to 5280 ft and 1 yard is equal to 3 ft.

Hence, according to the question,

1 yard = 3ft

1/3 yard = 1 ft

Hence,

5280 ft = 1/3 * 5280 yards

5280 ft = 1760 yards

As 1 mile = 5280 ft

So,

1 mile = 1760 yards

Hence,

1/1760 mile = 1 yard

We have to find the range of 8260 yards in miles.

Hence,

8260*1/1760 miles = 8260 yards

8260 yards ≈ 4.69 miles ≈ 4.7 miles

8260 yards ≈ 4.7 miles

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Step-by-step explanation:

4z-16z+8=0

[4×8]=32

factors of 32

1,2,4,8,....

Answer:

x = 12.489996 ft

Step-by-step explanation:

In order to solve one side length of a right triangle given two of other side lengths, you can use the pythagorean theory.

The theory states that the sum of the two adjacent side squares equals the square of the hypotenuse.

Basically:

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

Since the problem gives you the hypotenuse and one adjacent side length you rearrange the formula as so:

\(x^2 = h^2 - y^2\)

\(x=\sqrt{h^2 - y^2}\)

Then plug in the values:

\(x = \sqrt{16^2 - 10^2} = \sqrt{256-100}=\sqrt{156} = 2\sqrt{39}=12.489996\)

Step-by-step explanation:

The more gasoline that you purchase at the

pump, the more you pay.

Answer:

Length: 40ft

Width: 15ft

Step-by-step explanation:

Since we're comparing the two and we know they equal the same perimeter I would write it out like so,

(x+25) + x = 2x + (x + 10)

Combine like terms to end up with...

2x + 25 = 3x + 10

     -10           -10                      

2x + 15 = 3x

Subtract 2x from both sides which you get 15 = 1x (1x is the same as x)

x = 15

One side of Cat's driveway is x so that means it is 15ft and the other side (x+25) you replace the x with 15 and add. (15 + 25) which equals 40ft.

Hope that helps and have a great day!

Answer:

Step-by-step explanation:

Since the perimeter of both driveways are the same, we can write an equation comparing the two.

(x + 25) + (x) = (2x) + (x + 10)

Now, we can solve for x.

(x + 25) + (x) = (2x) + (x + 10)

~Remove parenthesis and combine like terms

2x + 25 = 3x + 10

~Subtract 25 to both sides

2x = 3x - 15

~Subtract 3x to both sides

-x = -15

~Divide -1 to both sides

x = 15

Now that we know what x equals, we can find the length and width of Cats driveway.

Length:

x + 25

15 + 25

40

Width:

x

15

40 + 15 = 55ft

Therefore, the length is 40ft and the width is 15ft.

Best of Luck!

Answer It's A, B, C, and F. Or 1, 2, 3, 5

Step-by-step explanation:

To have a true Inequality there has to be a relation between the 2 sides, meaning there is a greater than or less that sign.

(a) The graph of the linear functions is as attached.

(b) The equation of the linear function in slope-intercept form is; y = x

(c) The equation of the transformed function in slope-intercept form is;

y = x + 2 and y = x - 3

Functions are defined as the relationship between sets of values. For example, in the function; y = f(x), for every value of x there exists a set of y values.

x is the independent variable.

y is the dependent variable.

If the linear function is; y = x,

The equation of the transformation in slope-intercept form is given as;

For translation of 2 units up, we have;

y = x + 2

For a translation of 3 units down, we have;

y = x - 3

Thus, the required graph has been attached and the solution is determined.

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Answer:

1) 25/3

​2) 36

3) 24√2

​4) 36

5) 25

6) 26

7) 16√5

​8) 75

Step-by-step explanation:

steps are in the picture

Answer:

10*(5) - 2*(2)^3

= 50 - 2*8

= 50 - 16

=34

Answer:

Step-by-step explanation:

với x=5 và y=2

phương trinh trở th a

10*  5 - 2 * 2^ 3

=50 -  2*8

=50 - 16

=34

The correct answer is (x - 2)² = 12(y - k) so option A is the correct answer.

A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. A point and a line are used in one definition of a parabola.

Given data is as follows:-

The equation of the parabola will be given as:-

The focus of the parabola is located at 3 units from the vertex.

The equation of the parabola can be:-

y - k = 12 ( x - 2 )²

Therefore the correct answer is (x - 2)² = 12(y - k) so option A is the correct answer.

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