Don’t mod this look at picture

The diameter of the tin in the picture is  \(3d/5\) where 'd' is the diameter of the tin in reality.

Determining the diameter of tin:

Since there is no indication of dimensions, represent the diameter with a variable 'd' and find the diameter of the tin according to the given condition in the problem.

Here we have assumed that the diameter of the tin is 'd' in reality and the diameter of the tin picture can be calculated as given below.  

Here we have

A ricoffy tin container with no dimensions indicated

Let d and h be the diameter and height of the tin

Given that the container is 2/5 times smaller than d

then the diameter of the tin in the picture \(= d - 2/5(d)\)

\(= [5d - 2d]/5 = 3d/5\)

Therefore, The diameter of the tin in the picture is  \(3d/5\) where 'd' is the diameter of the tin in reality.

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Let's complete

Rule following=4n

#2

The rule is 4n

#3

Let's see

Answer:

-22=22

Step-by-step explanation:

3,5-5,7=

-22/22

The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.

The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.

The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.

So, the coordinates of the midpoint R are (-1/2, 6).

Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:

(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)

Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:

(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))

Simplifying the equation:

(y - 6) = (2 / -8) \(\times\)(x + 1/2)

(y - 6) = -1/4 \(\times\)(x + 1/2)

4(y - 6) = -x - 1/2

Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

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The table should be completed as follows;

Year          Starting Balance             Interest           Ending Balance

1                     $8500                          $510                 $9010

2                    $9010                           $510                $9520

3                    $9520                          $510                $10030

4                    $10030                          $510               $10540

5                    $10540                          $510                $11050

In Mathematics, simple interest can be calculated by using this formula:

S.I = PRT or S.I = A - P

Where:

By substituting the given parameters into the simple interest formula, we have;

S.I = 8500 × 6/100 × 1

S.I = 8500 × 0.06 × 1

S.I = $510.

Note: The simple interest rate of $510 would be constant.

After 1 year, we have:

Ending balance, A = S.I + P

Ending balance, A = $510 + $8500

Ending balance, A = $9010.

After 2 years, we have:

Ending balance, A = $510 + $9010

Ending balance, A = $9520.

After 3 years, we have:

Ending balance, A = $510 + $9520

Ending balance, A = $10030.

After 4 years, we have:

Ending balance, A = $510 + $10030

Ending balance, A = $10540.

Next, we would calculate the ending balance after 5 years as follows;

Ending balance, A = $510 + $10540

Ending balance, A = $11050.

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The correct expanded form using Laws of exponents is:

Two-thirds times two-thirds times two-thirds times two-thirds

Some of the laws of exponents are:

1) When multiplying like bases, keep the base the same and add the exponents.

2) When raising a base with a power to another power, keep the base the same and multiply the exponents.

3) When dividing like bases, keep the base the same and subtract the denominator exponent from the numerator exponent.

Now, we want to solve the expression given as: (²/₃)⁴

When we expend this, we arrive at:

²/₃ × ²/₃ × ²/₃ × ²/₃

This among the options is Option A which is:

Two-thirds times two-thirds times two-thirds times two-thirds

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Answer:

Technically not on a graph but on a table yes it matter but here if I were you I would do (2,2) and (-1,-4)

Step-by-step explanation:   y=mx+b

(2,2) and (-1,-4)                  2=2(2)+b                     Answer is: y=2x+(-2)

x1 y1         x2 y2                2=4+b

-4-2=-6                           -2=b

-1-2=-3                    y-intercept

m=2

slope                        

Answer:

No, it doesn't matter which coordinate you assign \((x_1,y_1)\) and \((x_2,y_2)\)

Step-by-step explanation:

Proof

\(\textsf{let}\:(x_1,y_1)=(-1,-4)\)

\(\textsf{let}\:(x_2,y_2)=(2,2)\)

\(\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{2-(-4)}{2-(-1)}=2\)

\(\begin{aligned}y-y_1&=m(x-x_1)\\\implies y-(-4) &=2(x-(-1)\\y&=2x-2\end{aligned}\)

\(\textsf{let}\:(x_1,y_1)=(2,2)\)

\(\textsf{let}\:(x_2,y_2)=(-1,-4)\)

\(\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-2}{-1-2}=2\)

\(\begin{aligned}y-y_1&=m(x-x_1)\\\implies y-2 &=2(x-2)\\y&=2x-2\end{aligned}\)

Answer:

--------------------------

Find the difference of the initial and used amounts:

Answer:

I would say D

Step-by-step explanation:

since it already tells you what y equals it makes it easier to substitute the others take more work so the best first step is substituting for y

Answer:

Option D) Substitute for y in the first equation

Step-by-step explanation:

When solving for a system of equation, we always need 1 equation to have x or y already isolated by itself.  This makes it easy to substitute that variable into the other equation, solve, then substitute the other variable into another equation.

This will give us an ordered pair, known as the solution.

In this system, we have 2 equations.  In the first one, we have no variables isolated.  In the second one, we have y isolated on the left side of the equal sign.  This means we can take what y equals (3x+2) and substitute that in for y in the first equation.

Hope this helps! :)

The table can be summarized as follows:

|          | Has a dog | Does not have a dog |

|----------|-----------|---------------------|

| Has a cat     | 2         | 3                   |

| Does not have a cat | 12        | 10                  |

To find the probability that a student chosen randomly from the class has a cat, we need to find the total number of students who have a cat (regardless of whether or not they have a dog), and divide it by the total number of students in the class.

The number of students who have a cat is 2 (those who have a dog and a cat) + 3 (those who have a cat but do not have a dog) = 5.

The total number of students in the class is the sum of all four categories: 2 (has a cat and a dog) + 3 (has a cat, does not have a dog) + 12 (does not have a cat, has a dog) + 10 (does not have a cat, does not have a dog) = 27.

So, the probability that a student chosen randomly from the class has a cat is 5/27.

The value of the variable x = 21/32

Algebraic expressions are simply described as expressions that are composed of variables, coefficients, terms, constants and factors.

These expressions are also made up of certain arithmetic or mathematical operations.

These operations includes;

From the information given, we have that;

3/8=4/7x

cross multiply the values, we have;

7x(3) = 8(4)

multiply the values and expand the brackets, we get the values;

21x = 32

Divide both sides by the coefficient of the variable x, we get;

x = 32/21

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\(\\ \rm\Rrightarrow \dfrac{x^2+3x+2}{x^2-4x-5}\)

\(\\ \rm\Rrightarrow \dfrac{x^2+2x+x+2}{x^2-5x+x-5}\)

\(\\ \rm\Rrightarrow {(x+2)(x+1)}{(x-5)(x+1)}\)

\(\\ \rm\Rrightarrow \dfrac{x+2}{x-5}\)

And

\(\\ \rm\Rrightarrow \dfrac{x^2+7x+12}{x^2-3x-28}\)

\(\\ \rm\Rrightarrow \dfrac{x^2+4x+3x+12}{x^2-7x+4x-28}\)

\(\\ \rm\Rrightarrow \dfrac{(x+4)(x+3)}{(x-7)(x+4)}\)

\(\\ \rm\Rrightarrow \dfrac{x+3}{x-7}\)

A sample of size n taken from a normally distributed population with mean µ and standard deviation σ has a sample mean of µ and standard deviation of σ/√n.

So the sample mean would still be 180.1, while the sample standard deviation would be 100/√94 ≈ 10.31.

The completely factoring form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).

To completely factor the expression 6a^2 - 15a + 6, the first step is to check if there is a common factor among the coefficients (6, -15, and 6) and the terms (a^2, a, and 1).

In this case, we can see that the common factor among the coefficients is 3, so we can factor out 3:

3(2a^2 - 5a + 2)

Now we need to factor the quadratic expression inside the parentheses further. We are looking for two binomials that, when multiplied, give us 2a^2 - 5a + 2. The factors of 2a^2 are 2a and a, and the factors of 2 are 2 and 1. We need to find two numbers that multiply to give 2 and add up to -5.

The numbers -2 and -1 fit this criteria, so we can rewrite the expression as:

3(2a - 1)(a - 2)

Therefore, the completely factored form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).

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Answer:

t = 4 s

Step-by-step explanation

We can infer the origin from the t⁰ term of the quadratic as being 192 feet above the ground. Initial velocity is  16 ft/s from the t¹ term, gravity is -32 ft/s² from the t² term

0 = -16t² + 16t + 192

0 = -t² + t + 12

0 = t² - t - 12

0 = (t - 4)(t + 3)

so either

t - 4 = 0

t = 4 s

or

t + 3 = 0

t = -3 s  which we ignore as it occurs before the ball is released.

\( \huge \pink{ \underline \mathfrak{ \green{Answer}}} \: \\ \\ \: \: \rightarrow \fbox{ a). \blue{ \: 54 \: }}\)

Step-by-step explanation:

\( \bf{Given} \: \colon 4w² + w-6, when \: \: w = -4 \\ \\ \tt \underline \red{Solution} \colon \\ \\ \rightarrow \: 4w {}^{2} + w \: - 6 \\ \\ \: put \: \: value \: \: of \: \: w \: \: in \: \: given \: \: equation \\ \\ \rightarrow \: 4( - 4) {}^{2} + \: (- 4 )\: - 6 \\ \\ \rightarrow \: 4(16) \: - 4 \: - 6 \\ \\ \rightarrow \: 64 \: - 10 \\ \\ \bf \rightarrow54\)

The growth rate function indicates that the number of years The Iron Man's net worth will reach the net worth of T'Challa is about 87 years

The growth rate is the rate of growth of a function with regards to the input variable.

T'Challa's net worth in the Marvel comics = 80 trillion (8 × 10¹³) Dollars

The Iron Man's net worth = 20 billion (2 × 10¹⁰) Dollars

The growth rate per annum of The Iron Man's net worth = 10% per annum

The number of years it will take to reach T'Challa can therefore, be found as follows;;

(2 × 10¹⁰) × (1 + 0.1)ˣ = (8 × 10¹³)

(1 + 0.1)ˣ = (8 × 10¹³)/(2 × 10¹⁰)

x·ln(1 + 0.1) = ln((8 × 10¹³)/(2 × 10¹⁰))

x = (ln((8 × 10¹³)/(2 × 10¹⁰)))/(ln(1 + 0.1)) ≈ 87 years

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Answer:

18x^2 + 22x + 4 -----i dont know for sure if this is correct but i tried my best so dont complain pls if its not correct

Step-by-step explanation:

____________________

I                                            I ----srry this helps me

I                                            I

I                                            I 9x^2 + 5x + 2

I                                            I

_____________________

   6x + 1

So you times both by 2 by doing first:

2(6x+1) = 12x + 2

and

2(9x^2 + 5x + 2) = 18x^2 + 10x + 2

Then you need to find the like terms. To find the like terms you need to find two similar terms and add or minus. For example:

2x + 4 - 3x + 2

The two similar terms are: [2x] + 4 [-3x] + 2

so minus them 2x - 3x = -1x and then

4 + 2 = 6 so the final equation is -

6 - 1x . you cant find the like terms of that because they arent the same terms. The same can be said with 2x and 2x^2. Theyre not the same terms.

So continuing with the initial question,

find the like terms of:

18x^2 [+ 10x] (+ 2) [+ 12x] (+ 2)  ----- the brackets are just so you know which are like terms.

so the final equation is:

18x^2 + 22x + 4.

Answer:

I believe the answer is A.

Answer:

the answer is D I believe

Step-by-step explanation:

To determine if this is a good investment, we can use present value calculations to see what the $3,000 payment in 4 years is worth today:

Present value of $3,000 in 4 years at 10% interest rate = $3,000 / (1 + 0.10)^4 = $2,102.50.

If we invest $2,000 today and get a payment of $2,102.50 in 4 years, our net gain would be:

Net gain = $2,102.50 - $2,000 = $102.50

Therefore, investing $2,000 today with an interest rate of 10% and receiving $3,000 in 4 years would yield a net gain of $102.50.

While any gain is better than no gain, a return of $102.50 on an investment of $2,000 over a period of 4 years may not be considered a great investment. It's up to the individual to decide whether they feel that the potential gain is worth the initial investment and risk involved.

∠LMN is an obtuse angle.

==========================================

Explanation

Let's go through the answer choices to see which are true, and which are false.

Answer:

4<x<6

Step-by-step explanation:

4 is smaller than x

and x is samller than 6

so its 5

The answer would be 3

Answer:

77/25

Step-by-step explanation:

First, 2/5 + 2 1/6 is 77/30, and then you divide the answer by 5/6.

The answer your get is 77/25.

Answer:

about 41 cents

Step-by-step explanation:

Answer:

x < -3 or x > 2

Step-by-step explanation:

x² + x - 6 > 0

Convert the inequality to an equation.

x² + x - 6 = 0

Factor using the AC method and get:

(x - 2) (x + 3) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x - 2 = 0

x = 2

x + 3 = 0

x = -3

So, the solution is x < -3 or x > 2

The answers are:

B. The graph of f(x) is shifted up 50 units

E. The graph of f(x) is shifted right 10 units

F. The graph of f(x) is reflected over the x-axis

The given function is f(x) = x²

This is an upward-facing vertical parabola.

The vertex is the smallest.

The vertex's origin is at (0, 0).

g(x) = –5x² + 100x – 450

This is an open downhill vertical parabola.

The vertex is the greatest

The first thing to notice is that fx) opens up whereas g(x) opens down, indicating that a reflection across the x-axis was used.

Find the g(x) vertex.

change the form to vertex

g(x) = –5x² + 100x – 450

Complete the square

g(x) = -5(x² - 20x) - 450

g(x) = -5(x² - 20x + 100) - 450 + 500

g(x) = -5(x² - 20x + 100) + 50

g(x) = -5( x - 10)² + 50

The vertex is located at (10, 50).

To the vertex from (0,0) to (10,50)

The translational principle is

(x,y) ------> (x+10,y+50)

This implies ----> The translation is 50 units up and 10 units to the right.

The adjustments are

The f(x) graph is moved forward by 50 units.

The f(x) graph is 10 units to the right.

Over the x-axis is a reflection of the f(x) graph.

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The complete question is,

Which transformations have been applied to the graph of f(x) = x² to produce the graph of g(x) = –5x² + 100x – 450? Check all that apply.

A.The graph of f(x) = x² is shifted up 25 units.

B.The graph of f(x) = x² is shifted up 50 units.

C.The graph of f(x) = x² is shifted down 950 units.

D.The graph of f(x) = x² is shifted left 10 units.

E.The graph of f(x) = x² is shifted right 10 units.

F.The graph of f(x) = x² is reflected over the x-axis.

Answer:

1 number of lunches a day and cost is varibley different

Answer:

I believe that the question is "A puppy weighs 5 3/4 pounds. How many ounces does the puppy weigh."

Step-by-step explanation:

The answer is 23 ounces.

Answer:

Step-by-step explanation:

In the given rhombus, the value of x is 18.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We know that;

Diagonal bisect the angles of a rhombus.

Hence, We can formulate;

⇒ (2x + 16)° = (3x - 2)°

Solve for x as;

⇒ 2x + 16 = 3x - 2

Subtract 2x both side,

⇒ 2x + 16 - 2x = 3x - 2 - 2x

⇒ 16 = x - 2

Add 2 both side,

⇒ 16 + 2 = x - 2 + 2

⇒ 18 = x

⇒ x = 18

Thus, The value of x in rhombus = 18

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Answer:

your answer is 4 my friend

Step-by-step explanation:

Answer:

\(y=-\frac{1}{3}x -8\)

Step-by-step explanation:

1) Write down the standard form of an equation of a line and the formula to find m.

\(y=mx+b\)

\(m=\frac{y_{2} - y_{1} }{x_{2} - x_{1} }\)

2) Find m using the formula then substitute it into \(y=mx+b\).

\(m=\frac{-5 - (-6) }{-9 - (-6)}\\m=\frac{-5 +6 }{-9 +6}\\m=\frac{1}{-3} \\m=-\frac{1}{3}\)

So, \(y=-\frac{1}{3}x +b\).

3) Find b by substituting a pair of coordinates the line goes through.

\(-6=-\frac{1}{3}(-6) +b\\-6=2+b\\-6 - 2=b\\-8=b\)

4) Substitute b into \(y=-\frac{1}{3}x +b\) to get your final answer.

\(y=-\frac{1}{3}x -8\)