PLEASE HELP!!! Solving equations with substitution! I don't really know how to solve it.

Answer:

See below. The result using the binomial theorem  is 1049.8560 compared with 1049.8573 using a calculator.

Step-by-step explanation:

Binomial theorem:-

( a + x)^n  =   a^n + nC1 a^(n-1) x + nC2 a^(n - 2)x^2 +  .......

(4 + 0.02)^5 = 4^5  + 5C1* 4^4 *0.02 + 5C2* 4^3* 0.02^2 +  5C3*4^2*0.02^3

+ 5C4 * 4 * 0.02^4 + 0.02^5

= 1024 +  5*4^4*0.02 + 10*4^3*0.02^2 + 10*4^2*0.02^3 + 5*4*0.02^4 + 0.02^5

= 1024 + 25.6 + 0.256 + 0.0000032

Answer:

Keisha's Response: The 4th term is almost 0, so the 5th and 6th terms are also close to 0. Add the terms shown to approximate 4.025:  1024 + 25.6 + 0.256 + 0.001 = 1049.857.

Step-by-step explanation:

EDGINUITY

Answer: 18

Step-by-step explanation:

3 times 6

The number of decimal places that the quotient has will be 3.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The numbers are given below.

7.7 and 700

The quotient of the numbers 7.7 and 700 will be

⇒ 7.7 ÷ 700

⇒ 0.011

Then the number of decimal places that the quotient has will be 3.

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Hello from MrBillDoesMath!

Answer:

Choice B (176)

Discussion:

Volume of a box = (area of base) * height.    

In our case this  becomes

"2 of the boxes have a height of 3"      + "and one box has a height of 5"

16 * 3  + 16 * 3                                         + 16 * 5 =

48 + 48 + 80  =

96 + 80 =

176

which is choice B

Thank you,

MrB

Answer:

Triangle A has one right angle

Step-by-step explanation:

Answer:

C. 12

Step-by-step explanation:

The last vertical line in a Box-and-Whisker plot is the upper quartile value, also know as 75% into the data. Since 75% is the same as three quarters and the last vertical line is on 12, C is the answer

Answer: C

Step-by-step explanation: I am a pro

Answer:

D

Step-by-step explanation:

5+7(8r-2)

5+56r-14

-9+56r=56r-9

d

Answer:

D) 56r - 9

Step by Step Explanation:

Answer:

I'mma be honest someone else asked the same question and this is the answer they gotten They gotten 4 and 5 and 4.1 but in my opinion I say the answer should be 4

Step-by-step explanation:

Best estimate would be B, because the answer is 4.1067 and you would round down

Answer:

slope = -1/2

Step-by-step explanation:

To find the slope, we can use the formula

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

   = (4-3)/(-2-0)

   = 1 /-2

   = -1/2

The slope is -1/2

Answer:1 and a half

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

There are one in 1/2

Answer:The answer is 4

Step-by-step explanation:

Answer:

$120.96

Step-by-step explanation:

So the area of the room is 14*12. So the area of the room is 168ft^2. So now we multiply it by .72 because it costs .72 per square foot. So the cost is 120.96

To calculate the cost of installing wallpaper around a rectangular room measuring 14 feet by 12 feet, you first find the perimeter, which is 52 feet, then multiply by the cost per foot, $0.72, leading to a total cost of $37.44.

The formula for the perimeter P of a rectangle is P = 2(length + width). In this case, the length is 14 feet and the width is 12 feet.

P = 2(14 feet + 12 feet) = 2(26 feet) = 52 feet.

Now that we have the perimeter, we multiply it by the cost per foot of the wallpaper to find the total cost. The wallpaper costs $0.72 per foot.

Total cost = Perimeter × Cost per foot = 52 feet × $0.72/foot = $37.44.

Hence, it will cost $37.44 to install the wallpaper around the rectangular room that measures 14 feet by 12 feet.

Answer: Yes, they have equivalent volumes.

Step-by-step explanation:

For the volumes to be equal, a would have to be equal to b. We'll assume x=x

1. Set the volumes equal to each other

x +a +2b =x +2a +b

2. Simplify

[x +a +2b =x +2a +b] -x

[a +2b =2a +b] -a

[2b =a +b] -b

b =a

Therefore, 2a=2b, a=b, and x=x

Since the two prisms have the same measurements, they have the same volumes.

Answer:

Yes, there is a similarity transformation that maps triangle ABC to Triangle DEF.

Step-by-step explanation:

Similarity transformation;

Triangle DEF has been transformed(dilated) by a factor of 2.

Since each dimension is twice that of the triangle ABC.

Two triangles are similar if their corresponding sides are congruent and corresponding angles are congruent.

Similarity statement:

ΔABC [tex]\sim[/tex] ΔDEF

these two triangles are similar because;

[tex]\frac{AB}{DE}= \frac{4}{8} = \frac{1}{2}[/tex]

[tex]\frac{AC}{DF}= \frac{4}{8} = \frac{1}{2}[/tex]

[tex]\frac{BC}{EF}= \frac{3}{6} = \frac{1}{2}[/tex]

⇒ [tex]\frac{AB}{DE}=\frac{AC}{DF} =\frac{BC}{EF}[/tex]

Yes, there is a similarity transformation that maps Triangle ABC to Triangle DEF.

To determine if two triangles are similar, one must check if they have the same shape, which means their corresponding angles are equal and their corresponding sides are in proportion.

Let's denote the angles of Triangle ABC  [tex]\(A\), \(B\), and \(C\),[/tex] and the angles of Triangle DEF as [tex]\(D\), \(E\), and \(F\),[/tex] respectively. Similarly, let's denote the sides opposite these angles as [tex]\(a\), \(b\), and \(c\)[/tex] for Triangle ABC, and [tex]\(d\), \(e\), and \(f\)[/tex] Triangle DEF.

For Triangle ABC and Triangle DEF to be similar, the following conditions must be met:

1. [tex]\(A = D\), \(B = E\), and \(C = F\)[/tex] (AA postulate for similarity).

2. [tex]\(\frac{a}{d} = \frac{b}{e} = \frac{c}{f}\)[/tex] (corresponding sides are in proportion).

If these conditions are satisfied, then there exists a similarity transformation that maps one triangle to the other. This transformation can be broken down into the following steps:

1. Dilation: To make the sides of Triangle ABC proportional to the sides of Triangle DEF, we perform a dilation. The scale factor k can be determined by the ratio of any pair of corresponding sides. For example, [tex]\(k = \frac{d}{a} = \frac{e}{b} = \frac{f}{c}\)[/tex]. This single scale factor should work for all three sides if the triangles are similar.

2. Rotation/Reflection (optional): If Triangle DEF is not oriented in the same direction as Triangle ABC, we may need to rotate or reflect Triangle ABC to align it with Triangle DEF. This does not affect the similarity.

3. Translation (optional): Finally, if Triangle DEF is not in the same position as Triangle ABC (but has the same orientation and size after the dilation), we perform a translation to move Triangle ABC to the position of Triangle DEF.

Since the angles are preserved under dilation, rotation, and translation, and the sides are made proportional by the dilation, the similarity transformation is complete.

If the corresponding angles are equal and the corresponding sides are in proportion, then the two triangles are similar, and a similarity transformation exists that maps one to the other. The similarity statement captures this relationship, indicating that the triangles are similar to the AA postulate and the sides are in proportion.

Answer:

$3.75

Step-by-step explanation:

To find the price after discount subtract this from $25.00

25.00 - 21.25 = 3.75

21.25 + 3.75 = 25

Hope this helped!

Answer:

156 players

Step-by-step explanation:

The 9 players for baseball and 11 players for football are added. 9 + 11 = 20.

Once you have 20, you can multiply it by the 6 schools. Which gets you 120 players so far.

After you multiply the 4 schools by the 9 players for baseball. You’ll get 36. Add the 120 players to 36 players and you’ll get 156 players for the 10 schools in total

Answer: g(x) is the image of f(x)

Step-by-step explanation:

multiplying the x value by -1 means you reflect that point across y-axis, therefore, g(x) is the reflection of f(x) across y-axis.

Multiplying the x value by -1 means you reflect that point across y-axis,

therefore, g(x) is the reflection of f(x) across y-axis.

You are basically assigning the same y-value to the opposite x-values to make g(x). So, for the point (x, 31), on f(x), x is -2, but on g(x), x is 2. Thinking about this visually, you can imagine that this represents a reflection of f across the y-axis.

Here is the general rule for reflection across the y-axis: Given an equation y=f(x) y = f ( x ) , the new reflection equation of the reflected graph will be y=f(−x) y = f ( − x ).

The relationship between the graphs is Option 3 . they are reflection of each other across the y axis.

The reflection vector is generated by applying the equation R = U − 2NT(U · N), where N is the vertex normal transformed into eye space. The reflection equation used is the standard for computing the reflection vector given a surface normal and incident vector.

The line of reflection is usually given in the form y = m x + b y = mx + b y=mx+by, equals, m, x, plus, b.

Learn more about reflection equation, refer

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Answer:

J. $638.14

Step-by-step explanation:

We will use compound interest formula to solve our given problem.

[tex]A=P(1+\frac{r}{n})^{nT}[/tex], where,

A=Final amount after T years.

P= Principal amount.

r= Interest rate in decimal form.

n= Period of compounding.

T= Time in years.

Let us convert our given interest rate in decimal form.

[tex]5\%=\frac{5}{100}=0.05[/tex]

Let us substitute our given values in above formula.

[tex]A=500*(1+\frac{0.05}{1})^{1*5}[/tex]

[tex]A=500*(1+0.05)^{5}[/tex]

[tex]A=500*(1.05)^{5}[/tex]

[tex]A=500*1.2762815625[/tex]

[tex]A=638.14078125\approx 638.14[/tex]

Therefore, we will have an amount of $638.14 after 5 years and option J is the correct choice.

The balance in your account after depositing $500 with an annual compound interest rate of 5% for 5 years would be $638.14, according to the formula for compound interest.

To calculate the balance in an account after a certain period of time, we would use the formula for compound interest. This formula is

, where 'A' is the amount of money accumulated after n years, taking into account interest. 'P' is the principal amount (the initial amount of money), 'r' is the annual interest rate (in decimal), 'n' is the number of times that interest is compounded per year, and 't' is the time the money is invested for in years.

Here, P = $500, r = 5/100 = 0.05 (because the rate was given in percentage), n = 1 (because the interest is compounded annually), and t = 5 years. Inserting these values into the formula gives us

which simplifies to A = $638.14. So, the balance in your account after 5 years would be $638.14, rounded to the nearest cent.

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Answer:

(0, - 4 )

Step-by-step explanation:

under a counterclockwise rotation about the origin of 180°

a point (x, y ) → (- x, - y ), hence

C(2, 4) → (- 2, - 4)

A translation of 2 units to the right means add 2 to the original x- coordinate while the y-coordinate remains unchanged.

(- 2, - 4 ) → (- 2 + 2, - 4 ) → (0, - 4 )

Answer:

(0, - 4 )

Step-by-step explanation:

Meg can trade her tickets in for 20 small toys.

Answer: I am pretty sure your answer is 208 cm. Whenever you see a percentage immediately change it to a decimal like in this case 0.070 and multiply it by 400. 400x0.070 is equal to 280. Hope this helps :)

Answer:

15

Step-by-step explanation:

Via the law of exponents power of a power property we have:

[tex](a^b)^c=a^{bc}[/tex]

Therefore:

[tex](15^{1/5})^5=15^{\frac{1}{5} \times 5}=15^{\frac{5}{5}}=15^1=15[/tex]

~~~Brainliest Appreciated~~~

Final answer:

The expression 6x²/5 is greater than 2/5 if x is a positive integer greater than 1. If x equals 1, the expression is still greater than 2/5. However, if x is zero or negative, the expression will be equal to or less than 2/5.

Explanation:

To determine whether 6x²/5 is greater or less than 2/5, we need to consider the value of x.

As long as x is a positive integer greater than 1, the expression 6x²/5 will indeed be greater than 2/5. If x equals 1, then 6x²/5 simplifies to 6/5, which is greater than 2/5.

However, if x is zero or negative, then 6x²/5 will be equal to or less than 2/5. For example, when x is 2, 6x²/5 becomes 6 × (2²)/5 = 24/5, which is clearly greater than 2/5.

This logic is similar to instances where combining certain quantities doesn't always lead to a straightforward sum, such as mixing volumes of liquids or combining probabilities of events.

Answer:

1.301 × 10⁴ ft  

Step-by-step explanation:

Difference = h₂ - h₁

Difference = 20 320 - 7310

Difference = 13 010 ft

To convert the number to scientific notation, we move the decimal point four places to the left and make the exponent of 10 equal to +4.

Difference = 1.301 × 10⁴ ft

Answer:

B

Step-by-step explanation:

using the cofunction identity

• sin (90 - x) = cosx / cos(90 - x) = sinx, hence

cos 19° = sin(90 - 19)° = sin 71°

Answer:

B

Step-by-step explanation:

using the cofunction identity

• sin (90 - x) = cosx / cos(90 - x) = sinx, hence

cos 19° = sin(90 - 19)° = sin 71°

Answer:

C. 9x^2 − 6x

Step-by-step explanation:

3(x + 6x^2 − 3x − 3x^2)

According to PEMDAS, we need to simplify inside the parentheses first

3(x -3x+ 6x^2 − 3x^2)

3(-2x+3x^2)  

Now we can distribute the 3 to both terms inside the parentheses

3 * -2x + 3* 3x^2

-6x + 9x^2

We normally write them in decreasing powers of x

9x^2 -6x

Answer:

100;200

There are 200 total flips and to find probability we would have to divide it by two. Doing so, should give you something like this 100;200.

Answer:

$150   PLEASE GIVE BRAINLIEST

Step-by-step explanation:

The minimum you can earn would be $150.  This would be your base salary and you selling 0 cell phones.