[(x^5)]^7]^4

simplify the expression

Answer:

\(3*(2x+3)*(x+1)\)

Step-by-step explanation:

pull like terms from the problem to re-arrange it into a product

\(\left(2x+3\right)\left(3x+3\right)\\3x + 3 = 3 \cdot (x + 1)\\3 \cdot (2x + 3) \cdot (x + 1)\\\)

Answer:

-3/17

Step-by-step explanation:

4/17 times -3/4 - divide both fours by 4 gets as 1

1/17 times -3/1-----      -3/17

Answer:

-3/17

Step-by-step explanation:

4x3 is 12

17x3 is 68

Divide both by 4 and you get -3/17

i hope this is helps!

The value of x when using addition property of equality to solve the given problem is; -44

The addition property of equality is a property of equality that states that when the same quantity is added to both sides of an equation, it will produce an equivalent equation. For example, 4 = 2 + 2 is an equation due to the fact that both the right and the left-hand sides of the equal sign represent the number 4.

The equation to solve is;

-60 = x - 16

By the use of addition property of equality, we will add 16 to both sides to get;

-60 + 16 = x - 16 + 16

x = -44

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Answer:

the increase is by 2

Step-by-step explanation:

You can add 17 plus 2 or subtract 17 from 19.

Answer:

2?

Step-by-step explanation:

Answer:

they are both 0 since they would not appear on a graph

Step-by-step explanation:

Answer:

Step-by-step explanation:

I'm still not exactly sure what the question really is, but the level suggests that it is

y = (6/7)x + 5

Any line that is parallel to this line has a slope of 6/7

Any line that is perpendicular to this line is a little more complicated.

slope of given line * slope of perpendicular line = - 1

6/7 * perpendicular slope = - 1  

Multiply by 7

6*perpendicular slope = - 7

Divide by 6

perpendicular slope = - 7/6

Answer:

The perimeter is 24 feet :]

hope this helps! <33

Answer:

12 feet

Step-by-step explanation:

The perimeter of a rectangle is just the sum of all the sides. There are four sides, two that represent the width, and two that are the length. Basically, the easiest way for us to find the perimeter of this shape is to add together the length and the width 2 times.

4 + 2 + 4 + 2 = 12

So, the perimeter of the mirror is 12 feet! I hope this helps! Have a lovely day!! :)

The volume of the resulting solid, after drilling a round hole of radius 5 through the center of a ball with a radius of 10, is 5243.7 cubic units.

To find the volume of the resulting solid, we can subtract the volume of the drilled hole from the volume of the original ball. The volume of a sphere is given by the formula V = (4/3)πr^3, where r is the radius.

The volume of the original ball can be calculated as:

V_original = (4/3)π(10^3) = 4188.8 cubic units.

The volume of the drilled hole can be calculated as:

V_hole = (4/3)π(5^3) = 523.6 cubic units.

Subtracting the volume of the hole from the volume of the original ball, we get:

V_resulting_solid = V_original - V_hole

                 = 4188.8 - 523.6

                 = 4665.2 cubic units.

Rounding to one decimal place, the volume of the resulting solid is approximately 5243.7 cubic units.

By subtracting the volume of the drilled hole from the volume of the original ball, we obtained the volume of the resulting solid. The calculations were based on the formulas for the volume of a sphere and the subtraction of volumes.

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The vertices of image L'M'N' are L'(-5, -1), M'(0, -1) and N'(-5, -2). Therefore, option C is the correct answer.

Given that, triangles LMN has vertices at L(-1, 5), M(-1, 0) and N(-2, 5).

The vertices of image L'M'N' if the preimage is rotated 90 degree counterclockwise.

90° counterclockwise rotation: (x, y) becomes (-y, x).

Here,

L(-1, 5)→L'(-5, -1)

M(-1, 0)→M'(0, -1)

N(-2, 5)→N'(-5, -2)

Therefore, option C is the correct answer.

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Answer:

Step-by-step explanation:

9) a = 2 ; b = 6

a) a + b =  2 + 6 = 8

b) b - a = 6 - 2 = 4

c) ab = 2 * 6 = 12

10) c = 12 ; d = 4

a) c ÷ d = 12 ÷ 4 = 3

b) c + d = 12 + 4 = 16

c) c - d = 12 - 4   = 8

Answer:

32

Step-by-step explanation:

I am pretty sure the answer is 32

Therefore ,there are 158,184,000 ways to create a license plate in this system.

A selection from a group of separate items is called a combination in mathematics, and the order in which the elements are chosen is irrelevant (unlike permutations). An apple and a pear, an apple and an orange, or a pear and an orange are three combinations of two fruits that can be chosen from a set of three fruits, such as an apple, an orange, and a pear. Formally speaking, a set S's k-combination is a subset of S's k unique components. Two combinations are therefore equal if and only if they have the same elements in both combinations.

According to the counting principle, the total number of ways to obtain a license plate is calculated by multiplying the number of times each of these events might occur together.

The first number (the digits 1 through 9) can be obtained in nine different ways.

There are 26 methods to obtain the first letter. There are 26 ways to obtain the following letter (repetition is acceptable).

There are 26 methods to get the third letter, 10 ways to get the next number (zero is acceptable), and 10 ways to get the following number with repetitions.

How many ways are there to get the next number? 10 ways\s.

Thus ,total options for obtaining a license plate:

9 x 26 x 26 x 26 x 10 x 10=158184000

Therefore ,there are 158,184,000 ways to create a license plate in this system.

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The order of the numbers from least to greatest (pi, -3, sqrt 49 , sqrt 9) is -3.00 <  sqrt 9 < pi  < sqrt 9

The concept that will be used here is ordering. When you put a list of numbers in order, you rank them from least to greatest or greatest to least. An effective tool for comparing and sorting numbers is a number line. From left to right, we read a number line, with the numbers nearer to the left having lower values.

The given numbers can be converted to decimals so as to be able to arange them in the required order which can be done as :

pi= 3.147= 3.15

-3= -3.00

sqrt 49=7.00

sqrt 9 =3.00

Therefore,-3.00 <  sqrt 9 < pi  < sqrt 9

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Answer:

105 sweets

Step-by-step explanation:

4×15 = 60

2×15=30

1×15=15

60-15 =45

60+30+15=105

Answer:

2:5.

Step-by-step explanation:

Number of misses = 56 - 16 = 40.

Ratio = 16:40

- which simplifies to   (16/8) : (40 / 8)

= 2:5.

a) The first five terms of the sequence are 2, 12, 72, 432, 2592.
b) The first five terms of the sequence are -1, 2, -4, 8, -16.

c) The first five terms of the sequence are 2, -1, -3, -2, 1.

To find the first five terms of the sequence defined by each of these recurrence relations and initial conditions, we will use the given recurrence relation and initial conditions to find the next terms in the sequence.

a) an = 6an-1, a0 = 2

The first term is given as a0 = 2. We will use the recurrence relation to find the next terms.
a1 = 6a0 = 6(2) = 12
a2 = 6a1 = 6(12) = 72
a3 = 6a2 = 6(72) = 432
a4 = 6a3 = 6(432) = 2592

So, the first five terms of the sequence are 2, 12, 72, 432, 2592.

b) an = −2an-1, a0 = −1

The first term is given as a0 = -1. We will use the recurrence relation to find the next terms.
a1 = -2a0 = -2(-1) = 2
a2 = -2a1 = -2(2) = -4
a3 = -2a2 = -2(-4) = 8
a4 = -2a3 = -2(8) = -16

So, the first five terms of the sequence are -1, 2, -4, 8, -16.

c) an = an-1 – an-2, a0 = 2, a1 = −1

The first two terms are given as a0 = 2 and a1 = -1. We will use the recurrence relation to find the next terms.
a2 = a1 - a0 = -1 - 2 = -3
a3 = a2 - a1 = -3 - (-1) = -2
a4 = a3 - a2 = -2 - (-3) = 1

So, the first five terms of the sequence are 2, -1, -3, -2, 1.

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The positive improper fraction in lowest terms representing the imaginary part is 47/34.

To find the imaginary part of the expression (4 + 7i)/(5 - 3i), we can use the following steps:

1. Multiply the numerator and denominator by the conjugate of the denominator to rationalize the expression:

  [(4 + 7i)(5 + 3i)] / [(5 - 3i)(5 + 3i)]

2. Simplify the numerator and denominator:

  (20 + 12i + 35i + 21i^2) / (25 - 9i^2)

3. Simplify further by replacing i^2 with -1:

  (20 + 12i + 35i - 21) / (25 - 9(-1))

4. Combine like terms:

  (-1 + 47i) / 34

Now, we can see that the imaginary part of the expression is 47i/34.

Therefore, A = 47 and B = 34.

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Answer:

I believe it's written y = 1/2x - 1

Hope this helps :)

Answer:

55

Step-by-step explanation:

put them in order from smallest to largest then find middle

Answer:

55

Step-by-step explanation:

Answer:

multiplying and dividing

Step-by-step explanation:

Answer:

Double The Three Folder...Use 1st Holder To Hold 2 Photos 2nd To Hold 1 Photo 3rd To Hold 2 Photos 4th Holder To Hold 1 Photo 5th To Hold 2 Photos And 6th To Hold 1

Answer: A: $7.67. B: No. C: Because amount of change that was supposed to be given is supposed to be $2.24

Step-by-step explanation:

If I get it wrong i'm sorry

Step-by-step explanation:

c + 1/2 × a²b = d | - c on both sides

1/2 × a²b = d - c | ×2 on both sides

a²b = 2(d - c) | /b on both sides

a² = (2/b) × (d - c) | sqrt on both sides

a = sqrt(2(d - c)/b)

yes, the given answer is correct.

USD per person = $\(2.31\) × \(10^{13}\).

To find how many dollars would each receive:

Avogadro's number of pennies is divided equally among 261 million people.

Avogadro's number is \(6.022\) × \(10^{23}\).

To find the number of pennies each person will receive, we divide \(6.022\) × \(10^{23}\) by 261 million.

Pennies per person = \(\frac{6.022 * 10^{23} }{261 million} = \frac{6.022 * 10^{23} }{261 * 10^{6} } = 2.31 * 10^{15}\)

This is equal to the number of cents each person receives.

To convert pennies into dollars, 1 USD = 100 pennies, divide \(2.31 * 10^{15}\) by \(100\).

USD per person = \(\frac{2.31 * 10^{15} }{100} = $2.31 * 10^{13}\)

Therefore, USD per person = $\(2.31\) × \(10^{13}\).

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The question you are looking for is here:

If Avogadro's number of pennies is divided equally among the 261 million men, women, and children in the United States, how many dollars would each receive?

Answer: p= (-0.10)x + 31

Step-by-step explanation:

m is the slope, and we know that each time they need to drop $0.10 so that is our slope. For the b we just need to get $0.10 times 260 cards that need to sell and add 5 and we get 31. So, the equation is p= (-0.10)x + 31.

Thank you if you can give me the brainliest.

A triangle with vertices located at A(1 , 1), B(2 , 5), and C(5 , 1) has a perimeter of 13.1 units.

A triangle is a two-dimensional shape that has three sides or edges and three vertices.

Perimeter refers to the distance around any two-dimensional shape. The perimeter of a triangle is the sum of the length of its sides.

To solve for the perimeter of triangle ABC with vertices located at A(1 , 1), B(2 , 5), and C(5 , 1), solve first for the length of each side, namely side AB, side BC, and side AC.

And to solve for the length of each side, use the distance formula given by:

d = √(x2 - x1)^2 + (y2-y1)^2

side AB : d = √(2 - 1)^2 + (5 - 1)^2 = √1 + 16 = √17 units

side BC : d = √(5 - 2)^2 + (1 - 5)^2 = √9 + 16 = √25 = 5 units

side AC : d = √(5 - 1)^2 + (1 - 1)^2 =√16 + 0 = √16 = 4 units

Solving for the perimeter of triangle ABC,

P = AB + BC + AC

P = √17 + 5 + 4

P = 4.123 + 9

P = 13.123 units

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The directional derivative of the function at the given point in the direction of the vector v are as follows :

\(\[D_{\mathbf{u}} f(\mathbf{a}) = \nabla f(\mathbf{a}) \cdot \mathbf{u}\]\)

Where:

- \(\(D_{\mathbf{u}} f(\mathbf{a})\) represents the directional derivative of the function \(f\) at the point \(\mathbf{a}\) in the direction of the vector \(\mathbf{u}\).\)

- \(\(\nabla f(\mathbf{a})\) represents the gradient of \(f\) at the point \(\mathbf{a}\).\)

- \(\(\cdot\) represents the dot product between the gradient and the vector \(\mathbf{u}\).\)

Now, let's substitute the values into the formula:

Given function: \(\(f(x, y) = 7e^x \sin y\)\)

Point: \(\((0, \frac{\pi}{3})\)\)

Vector: \(\(\mathbf{v} = \begin{bmatrix} -5 \\ 12 \end{bmatrix}\)\)

Gradient of \(\(f\)\) at the point  \(\((0, \frac{\pi}{3})\):\)

\(\(\nabla f(0, \frac{\pi}{3}) = \begin{bmatrix} \frac{\partial f}{\partial x} (0, \frac{\pi}{3}) \\ \frac{\partial f}{\partial y} (0, \frac{\pi}{3}) \end{bmatrix}\)\)

To find the partial derivatives, we differentiate \(\(f\)\) with respect to \(\(x\)\) and \(\(y\)\) separately:

\(\(\frac{\partial f}{\partial x} = 7e^x \sin y\)\)

\(\(\frac{\partial f}{\partial y} = 7e^x \cos y\)\)

Substituting the values \(\((0, \frac{\pi}{3})\)\) into the partial derivatives:

\(\(\frac{\partial f}{\partial x} (0, \frac{\pi}{3}) = 7e^0 \sin \frac{\pi}{3} = \frac{7\sqrt{3}}{2}\)\)

\(\(\frac{\partial f}{\partial y} (0, \frac{\pi}{3}) = 7e^0 \cos \frac{\pi}{3} = \frac{7}{2}\)\)

Now, calculating the dot product between the gradient and the vector \(\(\mathbf{v}\)):

\(\(\nabla f(0, \frac{\pi}{3}) \cdot \mathbf{v} = \begin{bmatrix} \frac{7\sqrt{3}}{2} \\ \frac{7}{2} \end{bmatrix} \cdot \begin{bmatrix} -5 \\ 12 \end{bmatrix}\)\)

Using the dot product formula:

\(\(\nabla f(0, \frac{\pi}{3}) \cdot \mathbf{v} = \left(\frac{7\sqrt{3}}{2} \cdot -5\right) + \left(\frac{7}{2} \cdot 12\right)\)\)

Simplifying:

\(\(\nabla f(0, \frac{\pi}{3}) \cdot \mathbf{v} = -\frac{35\sqrt{3}}{2} + \frac{84}{2} = -\frac{35\sqrt{3}}{2} + 42\)\)

So, the directional derivative \(\(D_{\mathbf{u}} f(0 \frac{\pi}{3})\) in the direction of the vector \(\mathbf{v} = \begin{bmatrix} -5 \\ 12 \end{bmatrix}\) is \(-\frac{35\sqrt{3}}{2} + 42\).\)

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For the given statement, we have to correctly rejecting the null hypothesis.

According to the statement

we have to find the outcome when hypothesis test evaluating a treatment that has a very large and robust effect.

For this purpose, we know that the

A hypothesis is a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.

And according to the given statement it is clear that the by this we have to rejected this hypothesis.

because this treatment and the large effects are not possible for the independent values of the hypothesis.

In other words, we can say that the we have to correctly rejecting the null hypothesis.

So, For the given statement, we have to correctly rejecting the null hypothesis.

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Step-by-step explanation:

That symbol is sigma, which is the sum of that equation from k = 1 to n = 4

Equation is 2(3^n-1)

Since we're going 1 to 4, the sum would be as follows (replacing n with 1, 2, 3, and 4

\(2( {3}^{1 - 1}) + 2( {3}^{2 - 1}) + 2( {3}^{3 - 1}) + 2( {3}^{4 - 1}) = {?}\)

\(2(1) + 2(3) + 2(9) + 2(27) = \)

\(2 + 6 + 8 + 54 = 70\)