-19>g-24\( - 19 \ \textgreater \ g - 24\)whats the answer

Answer:

\(\frac{3x+7}{x+2}\)

Step-by-step explanation:

Given the following question:

\(\frac{(x+4)(3x+7)}{(x+4)(x+2) }\)

In order to simplify the expression given we can only cancel the common factor which is four.

\(\frac{(x+4)(3x+7)}{(x+4)(x+2) }\)
\(cf=(x+4)\)
\(\frac{x+4}{x+4}\)
\(=\frac{3x+7}{x+2}\)

Cannot be simplified further due to it not having any more common factors. Your answer is "3x + 7 / x + 2."

Hope this helps.

Answer:

( 3x+7 ) / ( x+2 )

Step-by-step explanation:

\frac{(x+4)(3x+7)}{(x+4)(x+2)}

When you set up the equation like a fraction, you can now cancel out like terms. (x+4) is in the denominator- as well as the numerator. They are the same in parentheses. So you can cancel. Once that's done, you'll be left with

\frac{3x+7}{x+2}

You cant simplify any further because there are no more (like groups) aka (common factors)

( 3x+7 ) / ( x+2 )

Answer:

\( - 3 =- 3(2t - 1) \\ \frac{ - 3}{ - 3}=( 2t - 1) \\ 1 = 2t - 1 \\ 2t = 2 \\ \boxed{t = 1}\)

Answer:

The eighteenth term is B

Step-by-step explanation:

I could just write the pattern A B A C out until you get to the eighteenth term

A(1) B(2) A(3) C(4) A(5) B(6) A(7) C(8) A(9) B(10) A(11) C(12) A(13) B(14) A(15) C(16) A(17) B(18)

The best statement that describes the strategy for estimating the perimeter of the figure (please see the attached diagram) is the option;

Ad the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall

An estimate is an approximation of a true value, which is a value that is close to the actual value of the measured quantity.

Please find attached a diagram of the possible figure created with MS Word

The length of the side of the sides of the possible figure in the figure, obtained from a similar question on the internet are;

Base length = 5 units

Height = 4 units

The figure has a diagonal side which is 4 units wide and 2 units tall.

The length of the slant side, found using Pythagorean theorem can be obtained as follows; Length = √(4² + 2²) = 2·√5 ≈ 5

The correct option is therefore to add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall

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If y = cos(√x), then by the chain rule

dy/dx = d/dx [cos(√x)]

dy/dx = - sin(√x) d/dx [√x]

dy/dx = - sin(√x) (1 / (2√x))

dy/dx = - 1/2 sin(√x) / √x

The answers you are looking for are x = 6 and y = 4.

For these 2 equations, you would subtract the second one into the first one. This is so the y's cancel out temporarily, and so we can solve for x.

(10x + 3y = 72) - (9x + 3y = 66) = (x = 6).

Now, to find the y value, you take 6 and fill it in for x in one of the equations. I chose to use (10x + 3y = 72). The equation now says 10 * 6 + 3y = 72.

10 * 6 = 60. (60 + 3y = 72)

60 - 60 = 0 and 72 - 60 = 12. (3y = 12)

3y ÷ 3 = y and 12 ÷ 3 = 4 (y = 4)

Thus meaning your answers are x = 6 and y = 4. Here's a photo to show how i solved it as well.

I hope this helps!

To find the value of x, we can set the two angle measures equal to each other and solve for x.

Given:

mZA = (4x - 2)°

mZB = (6x - 20)°

Setting them equal to each other:

4x - 2 = 6x - 20

Now, we can solve for x:

4x - 6x = -20 + 2

-2x = -18

Dividing both sides by -2:

x = -18 / -2

x = 9

Therefore, the value of x is 9.

Answer:

The answer is 9.

Step-by-step explanation:

We need to use the fact that the sum of the angles in a triangle is 180 degrees. Let A, B, and C be the three angles in the triangle. Then we have:

mZA + mZB + mZC = 180°

Substituting the given values, we get:

(4x - 2)° + (6x - 20)° + mZC = 180°

Simplifying the left side, we get:

10x - 22 + mZC = 180°

Next, we use the fact that angles opposite congruent sides of a triangle are congruent. Since we know that segment AC and segment BC are congruent, we have:

mZA = mZB

Substituting the given values and simplifying, we get

4x - 2 = 6x - 20

Solving for x, we get:

x = 9

Therefore, the value of x is 9.

Answer:

101

Step-by-step explanation:

\(\log a=-8\\\\10^{\log a}=10^{-8}\\\\a=10^{-8}\)

\(\log b=-9\\\\10^{\log b}=10^{-9}\\\\b=10^{-9}\)

\(\log c=-9\\\\10^{\log c}=10^{-9}\\\\c=10^{-9}\)

\(\displaystyle \log\frac{a^2}{b^5c^8}=\log\frac{(10^{-8})^2}{(10^{-9})^5(10^{-9})^8}=\log\frac{10^{-16}}{(10^{-9})^{13}}=\log\frac{10^{-16}}{10^{-117}}=\log(10^{-16-(-117)})=\log(10^{101})=101\)

Trapezoid EFGH is not congruent to trapezoid E’F’G’H’ because there is no sequence of rigid motions that map trapezoid EFGH to trapezoid E’F’G’H’. Option D is correct .

What is a trapezoid simple definition?

A trapezoid, also referred to as a trapezium, is an open, flat object with 4 straight sides and 1 set of parallel sides.

                         A trapezium's parallel bases and non-parallel legs are referred to as its bases and legs, respectively.

1) We have and isosceles trapezoid DEFG and and another trapezoid D'E'F'G' dilated.

2) E'F'G'H' is not congruent to EFGH (due to its legs) Besides that, E'F'G'H has undergone not to rigid motions. Rigid motions are better known as translations and rotations and they preserve length and angles. That was not the case.

3) So it's d, the only correct choice:

d) Trapezoid EFGH is not congruent to trapezoid E’F’G’H’ because there is no sequence of rigid motions that map trapezoid EFGH to trapezoid E’F’G’H’.

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The complete question is -

The coordinates of the vertices of trapezoid EFGH are E(-8, 8), F(-4, 12), G(-4, 0), and H(-8, 4).  The coordinates of the vertices of trapezoid E’F’G’H’ are E’(-8, 6), F’(-5, 9), G’(5, 0), and H’(-8, 3).   Which statement correctly describes the relationship between trapezoid EFGH and trapezoid E’F’G’H’?   a)     Trapezoid EFGH is congruent to trapezoid E’F’G’H’ because you can map trapezoid EFGH to trapezoid E’F’G’H’ by reflecting it across the x-axis and then translating it up 14 units, which is a sequence of rigid motions. b)     Trapezoid EFGH is congruent to trapezoid E’F’G’H’ because you can map trapezoid EFGH to trapezoid E’F’G’H’ by translating it down 2 units and then reflecting it over the y-axis, which is a sequence of rigid motions c)     Trapezoid EFGH is congruent to trapezoid E’F’G’H’ because you can map trapezoid EFGH to trapezoid E’F’G’H’ by dilating it by a factor of 34 and then translating it 2 units left, which is a sequence of rigid motions d) Trapezoid EFGH is not congruent to trapezoid E’F’G’H’ because there is no sequence of rigid motions that map trapezoid EFGH to trapezoid E’F’G’H’.

The annual percentage rate for a 35 month loan that charges $22.38 per every $100 financed is seen from the table to be 14%.

From the table, the APR for 35 months loan that charges $22.38 per every $100 financed is seen to be 14%.

Thus, we can conclude that the annual percentage rate for a 35 month loan that charges $22.38 per every $100 financed is seen from the table to be 14%.

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Answer:

a. 13%

Step-by-step explanation:

E2020!

or

- BRAINLIEST answerer

Answer:

120

Step-by-step explanation:

5 factorial

5 x 4 x 3 x 2 x 1 = 120

Answer:

Step-by-step explanation:

1 )

\(\frac{2}{5}( \frac{5x}{4} - \frac{10}{3})-\frac{4x}{3} \\\frac{x}{2} - \frac{4}{3} - \frac{4x}{3}\\ \frac{-5x}{6}-\frac{4}{3}\)

2 )

\(\frac{17x}{8}+\frac{3x}{4}+\frac{1}{6}-\frac{7x}{12}+\frac{17}{3}\\ \frac{51x}{24}+\frac{18x}{24}-\frac{14x}{24}+\frac{35}{6}\\\frac{55x}{24}+\frac{35}{6}\)

Answer:

Step-by-step explanation:

(2⁶)ˣ = 1

2⁶ˣ = 1

6x = 0

x = 0

The inverse of f(x) = x^(7/9) using exponential notation is f(x) = x^(9/7)

An inverse function in mathematics is a function that "undoes" another function.

In other words, if f(x) yields y, then y entered into the inverse of f yields the output x.

An invertible function is one that has an inverse, and the inverse is represented by the symbol f⁻¹.

The given function is of the form

f(x) = x^(7/9), this is equivalent to ⁹√x⁷

say f(x) = y, then

f(x) = y = x^(7/9)

y = x^(7/9)

solving for the inverse, of y = x^(7/9)

y = x^(7/9)

y^(9/7) = x

interchanging the letters

y = x^(9/7)

hence the inverse function is solved to be f⁻¹(x) = x^(9/7)

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\(f^(-1)(2) = 6\), which is consistent with our earlier result.

A function that "undoes" another function is known as an inverse function. If f(x) is a function, then f(x inverse, )'s indicated by f-1(x), is a function that accepts f(x output )'s as an input and outputs f(x initial )'s input.

Given the function f(x) = √(2x - 8), if f^(-1)(x) is the inverse function of f(x), what is \(f^(-1)(2)\)?

Solution:

To find f^(-1)(2), we need to find the value of x such that  \(f(x) = 2\) . We can set up an equation:

\(f(x) = \sqrt(2x - 8) = 2\)

Squaring both sides, we get:

\(2x - 8 = 4\)

\(2x = 12\)

\(x = 6\)

Therefore, \(f^(-1)(2) = 6.\)

We can also verify this result by using the definition of an inverse function. If f^(-1)(x) is the inverse function of f(x), then by definition:

\(f(f^(-1)(x)) = x\)

We can substitute x = 2 and solve for f^(-1)(2):

\(f(f^(-1)(2)) = 2\)

\(f^(-1)(2) = (f(6))^(-1)\)

f(6) = √(2(6) - 8) = √4 = 2

Therefore,\(f^(-1)(2) = 6\), which is consistent with our earlier result.

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Answer:

  7(5 +2)

Step-by-step explanation:

From our knowledge of times tables, we know that ...

  35 = 5·7

  14 = 2·7

so the greatest common factor of 35 and 14 is 7. Factoring that out, we have ...

  35 +14 = 7(5 +2)

how about this.

am I wrong??

I hope now is right.

Answer:

56

Step-by-step explanation:

7x8=56

Step-by-step explanation:

7(8)

= 56

use tye substitution property

As per the given equation, the value of c guaranteed by the Mean Value Theorem for the function f(x) = √(9 - \(x^2\)) over the interval [0, 3] is c = ± √(9/5).

To find the value of c guaranteed by the Mean Value Theorem for the function f(x) = √(9 - \(x^2\)) over the interval [0, 3], we need to determine if the conditions of the Mean Value Theorem are satisfied and then find the value of c.

The Mean Value Theorem states that if a function is continuous on a closed interval [a, b] and differentiable on the open interval (a, b), then there exists at least one value c in the open interval (a, b) such that f'(c) = (f(b) - f(a))/(b - a).

In our case, the function f(x) = √(9 - \(x^2\)) is continuous on the closed interval [0, 3] since it is a square root function and the radicand is always non-negative within this interval.

The function is also differentiable on the open interval (0, 3) since it is the square root of a differentiable function.

To find the value of c, we first calculate f(3) and f(0):

f(3) = √(9 - \(3^2\)) = √(9 - 9) = √0 = 0

f(0) = √(9 - \(0^2\)) = √(9 - 0) = √9 = 3

Next, we calculate f'(c):

f'(x) = (-2x)/√(9 - x^2)

We want to find the value of c such that f'(c) = (f(3) - f(0))/(3 - 0). Let's substitute the values into the equation:

(-2c)/√(9 - \(c^2\)) = (0 - 3)/(3 - 0)

(-2c)/√(9 - \(c^2\)) = -1

To solve for c, we can cross-multiply:

-2c = -√(9 - \(c^2\))

Squaring both sides:

4c^2 = 9 - \(c^2\)

Simplifying:

5\(c^2\) = 9

Dividing both sides by 5:

\(c^2\) = 9/5

Taking the square root of both sides:

c = ± √(9/5)

Therefore, the value of c guaranteed by the Mean Value Theorem for the function f(x) = √(9 - \(x^2\)) over the interval [0, 3] is c = ± √(9/5).

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The length of each side of the square is 16 cm, the perimeter is 64 cm, and the area is 256 cm^2.

Let's solve the problem step by step. We have a square ABCD, and we need to find the length of its sides when the diagonal is 16√2 cm long.

In a square, the diagonal forms a right triangle with the sides. The sides of a square are equal in length, so let's assume the length of one side of the square is 'x' cm.

Using the Pythagorean theorem, we can find the relationship between the side length and the diagonal:

x^2 + x^2 = (16√2)^2

2x^2 = 512

Dividing both sides by 2, we have:

x^2 = 256

Taking the square root of both sides:

x = √256

x = 16 cm

So, the length of each side of the square is 16 cm.

To find the perimeter of the square, we simply multiply the length of one side by 4 since all sides are equal:

Perimeter = 4 * 16 cm = 64 cm

To find the area of the square, we square the length of one side:

Area = (16 cm)^2 = 256 cm^2

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Note the complete question is:

Find the length of side of square ABCD when diagonal is 16√2 cm long. Also find the perimeter and area of the square?

Answer:

  1.86 times as much pizza

Step-by-step explanation:

The ratio of pizza areas is the square of the ratio of pizza diameters, so is ...

  (15/11)² = 225/121 ≈ 1.86

You get about 1.86 times as much pizza when you order the large size.

The statements that are true ; b. On day 3, Sara will have biked 7.2 more miles than Aaron. d. Aaron bikes faster than Sara.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that equation y = 2.4x represents the number of miles, y, biked by Aaron in x days.

0.5 10

1 10

1.5 10

2 10

2.5 10

Since x = 2 then

y= 2.4 (2)

y = 4.8

The statements that are truly based on the equation and the table above;

b. On day 3, Sara will have biked 7.2 more miles than Aaron.

d. Aaron bikes faster than Sara.

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Answer:

Defintion. A subset W of a vector space V is a subspace if

(1) W is non-empty

(2) For every v, ¯ w¯ ∈ W and a, b ∈ F, av¯ + bw¯ ∈ W.

Expressions like av¯ + bw¯, or more generally

X

k

i=1

aiv¯ + i

are called linear combinations. So a non-empty subset of V is a subspace if it is

closed under linear combinations. Much of today’s class will focus on properties of

subsets and subspaces detected by various conditions on linear combinations.

Theorem. If W is a subspace of V , then W is a vector space over F with operations

coming from those of V .

In particular, since all of those axioms are satisfied for V , then they are for W.

We only have to check closure!

Examples:

Defintion. Let F

n = {(a1, . . . , an)|ai ∈ F} with coordinate-wise addition and scalar

multiplication.

This gives us a few examples. Let W ⊂ F

n be those points which are zero except

in the first coordinate:

W = {(a, 0, . . . , 0)} ⊂ F

n

.

Then W is a subspace, since

a · (α, 0, . . . , 0) + b · (β, 0, . . . , 0) = (aα + bβ, 0, . . . , 0) ∈ W.

If F = R, then W0 = {(a1, . . . , an)|ai ≥ 0} is not a subspace. It’s closed under

addition, but not scalar multiplication.

We have a number of ways to build new subspaces from old.

Proposition. If Wi for i ∈ I is a collection of subspaces of V , then

W =

\

i∈I

Wi = {w¯ ∈ V |w¯ ∈ Wi∀i ∈ I}

is a subspace.

Proof. Let ¯v, w¯ ∈ W. Then for all i ∈ I, ¯v, w¯ ∈ Wi

, by definition. Since each Wi

is

a subspace, we then learn that for all a, b ∈ F,

av¯ + bw¯ ∈ Wi

,

and hence av¯ + bw¯ ∈ W. ¤

Thought question: Why is this never empty?

The union is a little trickier.

Proposition. W1 ∪ W2 is a subspace iff W1 ⊂ W2 or W2 ⊂ W1.

i hope this helped have a nice day/night :)

"Distance traveled is a function of time." In the context of motion or travel, the distance traveled is often dependent on the amount of time that has passed.

Distance is a fundamental concept in physics and mathematics that measures the extent or length between two points.

It represents the amount of ground covered or space traveled. When we say that distance is a function of various factors, it means that different variables or parameters can influence the distance traveled.

In the context of motion or travel, the distance traveled is often dependent on the amount of time that has passed.

The sentence "Distance traveled is a function of time" expresses this relationship, indicating that the distance traveled can be determined or calculated based on the value of time.

Thus, it implies that as time changes, the corresponding distance traveled also changes, establishing a functional relationship between the two variables.

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