Rewrite, using the distributive
property.
4(2x + 5) = [?]x + [ ]

Answer:

Step-by-step explanation:

Add two cube numbers and

one square

number.​

The solution to the differential equation \(2^{\sqrt{x}}\frac{dy}{dx} = cosce(ln(y))\) is,

\(\frac{y sin(ln(y))}{2} - \frac{y cos(ln(y))}{2} = C - \frac{2 ln(2) \sqrt{x} + 2}{ln^2(2)2^{\sqrt{x}}}\).

Any equation with at least one ordinary or partial derivative of an unknown function is referred to as a differential equation.

The given differential equation is \(2^{\sqrt{x}}\frac{dy}{dx} = cosce(ln(y))\).

Now, multiplying both sides by dx we,

\(2^{\sqrt{x}}dy = cosce(ln(y))dx\).

Dividing both sides by \(2^{\sqrt{x}}\) we have,

\(sin(ln(y))dy = \frac{dx}{2^{\sqrt{x}}}\).

\(\[ \int sin(ln(y))dy = \int \frac{dx}{2^{\sqrt{x}}}\).

\(\frac{y sin(ln(y))}{2} - \frac{y cos(ln(y))}{2} = C - \frac{2 ln(2) \sqrt{x} + 2}{ln^2(2)2^{\sqrt{x}}}\).

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Answer:kbef;eohrjkvoubwe

cv bojbDetectives are unsure whether Kendall Postwell will be able to testify at her trial. They say it is a question of competence. What does this MOST likely mean?

A.

Kendall might be determined to be insane and not qualified to testify.

B.

The evidence in Kendall’s case is inconclusive and doesn’t prove anything.

C.

Kendall is an expert witness who has testified many times before.

D.

The police think it will hurt their case if Kendall chooses to testify.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Arc length= \(\frac{interior angle}{360} 2\pi r\)

Answer:

8.093 < 9.015

Step-by-step explanation:

Answer: 9.015 is greater than 8.093

\(\cos\theta=\frac{10}{14}\\ \\

\theta=\cos^{-1}\frac{10}{14}\\ \\

\theta=44^o \)

Answer:

Step-by-step explanation:

P = 4 a

a = √p^2 + q^2 / 2

P = 2√p^2 + q^2 = 2 x √42^2 + 40^2 = 116cm

∴ the perimeter of a rhombus when the diagonals are 42cm and 40cm is 116cm

The calculated measure of the angle D is (c) 32 degrees

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

The triangles ABC and DEF

The triangles are similar triangles

This means that the corresponding angles are equal

Given that

A = 32 degrees

And the corresponding angle is D

We have

D = 32 degrees

Hence, the measure of the angle is (c) 32 degrees

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Answer:

D

Step by Step Explanation:

To find the volume of a cube, you need to cube the side length. In this case, since the side length is 8, the volume is 8^3=512 cubic inches, or answer choice D. Hope this helps!

Answer:

- 8

Step-by-step explanation:

56 ÷ (- 7)

56 ÷ - 7

- 8

Answer:

-8

Step-by-step explanation:

A positive number divided by a negative one results in a negative quotient.

Thus, 56 ÷ (–7) = -8

Answer:

A.  (x - 80)² = -320(y = 20)

B.  Focus:  (80, -60)

     Directrix:  y = 100

     Axis of symmetry:  x = 80

Step-by-step explanation:

If the spider's movement is modeled by a parabola, and its maximum height is 20 mm halfway across a horizontal distance of 160 mm, then:

Standard form of a parabola with a vertical axis of symmetry:

\(\boxed{(x-h)^2=4p(y-k) \quad \textsf{where}\:p\neq 0}\)

If p > 0, the parabola opens upwards, and if p < 0, the parabola opens downwards.

Substitute one of the x-intercepts and the vertex into the formula and solve for p:

\(\implies (0-80)^2=4p(0-20)\)

\(\implies (-80)^2=4p(-20)\)

\(\implies 6400=-80p\)

\(\implies p=-80\)

Substitute the found value of p and the vertex into the formula to create the equation of the parabola in standard form:

\(\implies (x-80)^2=4(-80)(y-20)\)

\(\implies (x-80)^2=-320(y-20)\)

Given:

\(\begin{aligned}\textsf{Focus}&=(h,k+p)\\&=(80,20-80)\\&=(80,-60)\end{aligned}\)

\(\begin{aligned}\textsf{Directrix}:y&=(k-p)\\ \implies y&=(20-(-80))\\ \implies y&=100\end{aligned}\)

\(\begin{aligned}\textsf{Axis of symmetry}:x&=h\\ \implies x&=80\end{aligned}\)

Answer:

1/16 D

Step-by-step explanation:

Answer:

1/16

Step-by-step explanation:

Multiply top with top and bottom with bottom

1/8 * 3/6 = (1*3)/(8*6) = 3/48

3 goes into 48

16 times

The answer is 1/16

The correct answer is 1/16 even though 3/48 is also correct. The question directions you to simplify.

Mi hermano ha ganado un dinero devengado de 8835 pesos en 15 días.

En esta pregunta debemos determinar el dinero devengado por un período de 15 días a partir de una tasa diaria constante. Esa cantidad es igual al producto de la tasa diaria constante, en pesos por día, y el número de días trabajados, en días:

\(x = 589\,\frac{\$}{dia}\times 15\,dias\)

\(x = 8835\,\$\)

Mi hermano ha ganado un dinero devengado de 8835 pesos en 15 días.

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Answer:4

Step-by-step explanation:

The required explicit formula for the given geometric sequence is aₙ = (aₙ₋₁) * 2⁽ⁿ⁻¹⁾.

The recursive form is given as:

aₙ = aₙ₋₁ * 2

a₁ = 2

To find the common ratio, we can divide each term by its preceding term:

r = aₙ / aₙ₋₁

As per the question, r = 2, since each term is obtained by multiplying the previous term by 2.

The first term, a₁, is given as 2.

To express the sequence in explicit formula form, we can rewrite the recursive form using the index n:

aₙ = (aₙ₋₁) * 2

By substituting (n-1) for the index, we get:

aₙ = (aₙ₋₁) * 2

Hence, the explicit formula is aₙ = (aₙ₋₁) * 2⁽ⁿ⁻¹⁾.

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Answer:

Below in bold.

Step-by-step explanation:

f(2) = 2(2) - 6 = -2.

x/2 = 5

x = 2*5

x = 10.

Answer:

f(2) = 2(2) - 6

f(2) = 4-6 = -2

g(x) = x/2=5.........(Criss cross)

x = 2x5 = 10

Answer:

3.46410161514

is the square root of 12 so whatever is closest to that.

Step-by-step explanation:

(a) The mean of the relevant distribution is 2.4 defective pistons.

(b) The standard deviation of the distribution is 1.539.

The mean of the relevant distribution is the expected number of defective pistons that we would expect to get from a sample of 80 pistons produced by this machine. The mean is calculated by multiplying the probability of a defective piston (3%) with the number of pistons in the sample (80). In this case, the mean is 2.4 defective pistons. The standard deviation of the distribution quantifies the uncertainty of our estimate. It is calculated by taking the square root of the variance, which is the expected value of the squared differences between the number of defective pistons in the sample and the mean. In this case, the standard deviation is 1.539. This means that, in theory, we would expect 68% of the samples to contain between 0.861 and 4.139 defective pistons.

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The solutions to the equation \($x^2 = 6 - x$\) are \($x = -3$\) and \(x = 2$.\)

What is square of a number?

The square of a number is the result of multiplying the number by itself. In mathematical notation, the square of a number "\(x\)" is written as "\(x^2\)".

Let's call the number we are looking for "x".

According to the problem statement, we have:

\($$x^2 = 6 - x$$\)

We can rearrange this equation to get:

\($$x^2 + x - 6 = 0$$\)

Now, we can factor the left-hand side of this equation:

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

So, either \($x + 3 = 0$\) or \(x - 2 = 0$.\) Solving for x in each case gives us:

\($$x = -3 \text{ or } x = 2$$\)

Therefore, the solutions to the equation \($x^2 = 6 - x$\) are \($x = -3$\) and \(x = 2$.\)

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Explanation:

We are given the relationship that relates to the expected quiz score and the number of hours spent on homework that week.

The equation is defined as

For the first part of the question:

We are told to determine what the number 68 represents

From the equation

The number 68 means that the initially expected quiz score (when x =0) of the students is 68.

or the minimum quiz score expected from the students is 68

68 also means the y-intercept of the equation when we plot the equation in a graph

x=66

Step-by-step explanation:

4x = 200 + 64 > 4x = 264 > x= 66

Answer:

x=66

Step-by-step explanation:

Steps

4x=64+200

4x=264

x=66

Answer:7

Step-by-step explanation:

Answer:

decompose

numerator

mixed number

Step-by-step explanation:

1. To DECOMPOSE is to break apart a number.

e.g. to decompose 853:  800 + 50 + 3

2. The NUMERATOR is the top number in a fraction (the bottom number is the denominator).

3. A number that has whole number part and fraction part is a MIXED NUMBER, e.g. \(6\frac23\)

The statements that are listed above that are not propositions include the following:

A proposition statement is defined as the statement that is either a true statement or false statement but can not be both.

From the given statements,the statement that is a true proposition include the following:

The statement that is a false proposition include the following:

The statement will you be my valentine? is not a proposition but a declarative question that needs to be answered.

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Answer:

Step-by-step explanation:

42÷(2+5)•3 =

first we deal with the parentheses

42÷7•3

now we solve left to right

42÷7•3 = 6•3 = 18

The order of operations is:

Solve the parentheses first. Apply the same set of rules to whatever is inside the parentheses).

Solve multiplication and division - go from the left to right.

Solve addition and subtraction - go from left to right.

And you have the answer!

In this problem we only had division, multiplication and parentheses with addition inside.

Also, in the future you'll probably need to update the above rules with powers, roots and other things.

Answer:

Step-by-step explanation:

We know that:

Work:

Hence, the cost of Laptop before tax was $695.65.

remember the pythagorean theorem:

a² + b² = c²

where c is the hypotenuse.

so:

\( {a}^{2} + {b}^{2} = { ( \sqrt{26)}}^{2} \)

the square and the square root cancel each other out, so...

a² + b² = 26

we know that a and b are of equal length given the angles.

so it's

\( { \sqrt{13} }^{2} + { \sqrt{13} }^{2} = 26\)

here the squares and square roots also cancel, but to keep the equation from the formula true we need to write them. that makes the difference between optional and B

Option A is correct,

\( \sqrt{13} inches\)

This problem tests the knowledge of the probability of a random event occuring: of playing a type of song from a variety of different song types

Thus, we have to compute the probability that each type of song is played.

To do this, we need to obtain the total number songs, as follows:

80 + 40 + 25 + 30 + 45 = 220

Thus, the probabilities are now easily computed as follows:

P(rock) = 80/220

P(jazz) = 40/220

P(country) = 25/220

P(hip hop) = 30/220

P(classical) = 45/220

Now:

Option 1 (the first statement in the options) claims that : P(rock) = 2 * P(hip hop)

However, 2 * P(hip hop)

Answer:-9

Step-by-step explanation:

-9

Answer:-45 -5

Step-by-step explanation:

Three ways to label a base (b) and corresponding height (h) are:

1. Base as the bottom side, height as a perpendicular line segment.

2. Base as a side, height as a perpendicular line segment.

3. Base as the hypotenuse, height as a perpendicular line segment.

To label a base (b) and corresponding height (h), three possible ways can be demonstrated using the triangles below:

1. Triangle 1:

  - Base (b) is labeled as the bottom side of the triangle.

  - Height (h) is labeled as a vertical line segment perpendicular to the base, connecting the opposite vertex to the base.

2. Triangle 2:

  - Base (b) is labeled as the side of the triangle.

  - Height (h) is labeled as a vertical line segment perpendicular to the base, connecting the opposite vertex to the base.

3. Triangle 3:

  - Base (b) is labeled as the hypotenuse (the longest side) of the triangle.

  - Height (h) is labeled as a vertical line segment drawn from one of the vertices of the base, perpendicular to the base.

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