HELP PLSS
Select all of the expressions that are equivalent to 7c.
A c + 3(c + c)
B 2(c + c) +c
C 3c + 4c + c
D 2c + 4c + c
E c (2c + 2c)

If a spring with a spring constant of 10 newtons per inch is stretched by 3 inches, a force of 30 newtons was applied.

What is force ?

Force can be defined as a push or pull that can cause an object to accelerate or deform. In physics, force is a vector quantity that has both magnitude and direction. It is typically measured in units of newtons (N) and is denoted by the symbol "F".

To determine the force applied to stretch a spring by a certain amount, we can use Hooke's law, which states that the force applied to a spring is proportional to the amount of deformation it experiences. Mathematically, we can express Hooke's law as:

F = kx

Where F is the force applied to the spring, x is the deformation (i.e., the change in length) of the spring, and k is the spring constant, which is a measure of how stiff the spring is.

To calculate the force required to stretch a spring by 3 inches, we need to know the spring constant of the spring. Let's assume, for the sake of this example, that the spring constant is 10 newtons per inch (this is just an arbitrary value for illustrative purposes).

Using Hooke's law, we can calculate the force required to stretch the spring by 3 inches:

F = kx

F = 10 newtons/inch x 3 inches

F = 30 newtons

Therefore, if a spring with a spring constant of 10 newtons per inch is stretched by 3 inches, a force of 30 newtons was applied.

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The force applied to the spring that was stretched 3 inches is 3.81 newtons.

what is the slope?

In mathematics, slope refers to the steepness or incline of a line on a graph. It is a measure of how much the dependent variable changes for every unit change in the independent variable.

To determine the force applied to a spring when it is stretched a certain distance, we can use Hooke's Law, which states that the force applied to a spring is directly proportional to the amount of deformation or stretching of the spring. This can be expressed mathematically as:

F = kx

Where F is the force applied to the spring in newtons, k is the spring constant (a measure of the stiffness of the spring) in newtons per meter, and x is the amount of deformation or stretching of the spring in meters.

To find the force applied to a spring that has been stretched 3 inches, we first need to convert the distance to meters, since the SI unit for length is meters.

1 inch = 0.0254 meters (exact conversion)

Therefore, 3 inches is equal to:

3 inches × 0.0254 meters per inch = 0.0762 meters

Now we need to know the spring constant (k) of the spring. If it is not given, we can determine it experimentally by applying a known force to the spring and measuring the amount of deformation.

Assuming that we know the spring constant, let's say k = 50 newtons per meter. Then the force applied to the spring can be calculated as:

F = kx = 50 newtons per meter × 0.0762 meters = 3.81 newtons

Therefore, the force applied to the spring that was stretched 3 inches is 3.81 newtons.

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The complexity of n choose k can be found using the formula: \(C{(n},k)} = \frac{n!}{k!(n-k)!}\)] where n and k are non-negative integers and k ≤ n. Let's explain this in detail below:

What is n choose k?

n choose k (denoted as C(n,k)) is the number of ways to choose k items from a set of n distinct items. This combination is also known as the binomial coefficient. This is the total number of unordered groups or combinations that can be formed by choosing k items from a set of n items.

What is the formula to find n choose k?

The formula to find n choose k is \(C{(n},k)} = \frac{n!}{k!(n-k)!}\), where n! represents the factorial of n. A factorial of n (denoted as n!) is the product of all positive integers up to and including n.

For example, 4! = 4 x 3 x 2 x 1 = 24. Likewise, 0! is defined as 1. Now, let's break down the formula to find n choose k. We can also write it as:

\(C{(n,k)} = \frac{n\times (n-1)\times (n-2) \times \cdots \times (n-k+1)}{k\times (k-1) \times (k-2) \times \cdots \times 1} \quad \text{or} \quad C{(n,k)} = C{(n-1,k-1)} + C{(n-1,k)}\)

This formula can be used to find the number of combinations of choosing k items from a set of n items.How to find the complexity of n choose k?The time complexity of n choose k is O(\(n^2\)). This can be calculated using the formula. As seen in the formula, n choose k involves calculating the factorials of both n and k.

Therefore, the time complexity is proportional to\(n^2\) as it involves performing two loops of n, one for each factorial calculation.This is how we can find the complexity of n choose k.

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It is not possible to find the triangular formula of a pentagon because a pentagon is a polygon with five sides and does not have a triangular formula.

We have,

A triangular formula is used to calculate the area of a triangle, which is a polygon with three sides.

The formula for the area of a triangle is given by:

Area = 1/2 x base x height

where the base and height are two of the sides of the triangle.

If you want to calculate the area of a pentagon, you can use the formula for the area of a regular pentagon, which is given by:

Area = (5/4) x s² x tan(π/5)

where s is the length of one of the sides of the Pentagon.

Thus,

It is not possible to find the triangular formula of a pentagon because a pentagon is a polygon with five sides and does not have a triangular formula.

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The equation of the tangent to the curve at the point corresponding to t=1 is y = x - 2.

To find the equation of the tangent to the curve at the point corresponding to t=1:

We first need to find the corresponding values of x and y. Substituting t=1 into the given equations, we get:

\(x = 1^4 + 3 = 4\)
\(y = 1^3 + 1(1) = 2\)

So the point on the curve corresponding to t=1 is (4,2).

To find the equation of the tangent at this point,

we need to find the slope of the curve at this point. We can do this by taking the derivative of y(x) with respect to x:

\(dy/dx = (dy/dt)/(dx/dt) = (3t^2+t)/(4t^3)\)

Substituting t=1, we get:

dy/dx = (3+1)/(4) = 1

So the slope of the curve at the point (4,2) is 1.

Now we can use the point-slope form of the equation of a line to find the equation of the tangent:

y - 2 = 1(x - 4)

Simplifying, we get:

y = x - 2

So the equation of the tangent to the curve at the point corresponding to t=1 is y = x - 2.

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Answer: B. . Wealthy individuals who mostly invest in startups with good potential in exchange for stocks in the business

Step-by-step explanation:

Angel investors are wealthy individuals who mostly invest in startups with good potential in exchange for stocks in the business.

It should be noted that when new businesses are been established or wants to start up, they usually have little capital and often times, need someone to help them with funds.

Am angel investor invests in such companies in exchange for ownership equity and also gives them the.nweded support.

Answer:

1. To adjust the recipe to serve 30 cupcakes instead of 10, you will need to multiply the amount of each ingredient by 3.

2. This number was determined by dividing the desired number of servings (30) by the original number of servings (10). 30/10 = 3.

3. For 30 cupcakes, you will need 3 times the amount of vegetable oil listed in the original recipe. The original recipe calls for 1/2 cup of vegetable oil, so for 30 cupcakes, you will need 3 * (1/2) = **1 and 1/2 cups** of vegetable oil.

4. For 30 cupcakes, you will need 3 times the amount of flour listed in the original recipe. The original recipe calls for 1 and 1/2 cups of all-purpose flour, so for 30 cupcakes, you will need 3 * (1 and 1/2) = **4 and 1/2 cups** of all-purpose flour.

5. The difference in the amount of vanilla extract you would need for 30 cupcakes is calculated by subtracting the amount needed for 10 cupcakes from the amount needed for 30 cupcakes. The original recipe calls for 1 teaspoon of vanilla extract, so for 30 cupcakes, you will need 3 * (1) = **3 teaspoons** of vanilla extract. The difference is therefore 3 - 1 = **2 teaspoons**.

6. The difference in the amount of salt you would need for 30 cupcakes is calculated by subtracting the amount needed for 10 cupcakes from the amount needed for 30 cupcakes. The original recipe calls for 1/8 teaspoon of salt, so for 30 cupcakes, you will need 3 * (1/8) = **3/8 teaspoon** of salt. The difference is therefore (3/8) - (1/8) = **2/8 or 1/4 teaspoon**.

In the real world, it would make more sense to round the amount of an ingredient like salt or nutmeg rather than coming up with the exact amount because these ingredients are used in such small quantities that a slight variation in their amounts is unlikely to have a significant impact on the final product.

All the statements that must be true are in options \(A, B, D, E\).

Parallel lines are those line which never intersect and maintains a constant distance.

We have,

From the given diagram,

Maple Street and Pine Street run exactly East to West.

And,

Oak Avenue runs exactly North to South.

Now,

From the given diagram,

A. Birch street and Elm street intersect at right angles. - True

B. Maple Street and Pine Street are parallel. - True

D. Pine Street intersect  both Birch street and Elm street.  - True

E. Oak Avenue and Maple Street are perpendicular. - True

Hence we can say that all the statements that must be true are in options \(A, B, D, E\).

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Answer:

He will earn $123.25

Step-by-step explanation:

You multiply $7.26 by 17.

\(solution \\ radius = 9 \: m \\ area \: of \: circle = \pi \: {r}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times {9}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times 81 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 254.34 \: {m}^{2} \\ \)

Hope it helps...

Good luck on your assignment

Answer:

\(= 254.34 {m}^{2} \\ \)

Step-by-step explanation:

\(area = \pi {r}^{2} \\ = \pi \times 9 \times 9 \\ =3 .14 \times 81 \\ = 254.34 {m}^{2} \)

hope this helps you.

brainliest appreciated

good luck! have a nice day!

Check the picture below.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2 \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{6.6+x}\\ a=\stackrel{adjacent}{6.6}\\ o=\stackrel{opposite}{8.8} \end{cases} \\\\\\ (6.6+x)^2= (6.6)^2 + (8.8)^2\implies (6.6+x)^2=121\implies (6.6+x)^2=11^2 \\\\\\ 6.6+x=11\implies x=4.4\)

Answer:

I believe this is the answer

Step-by-step explanation:

Answer:

Jayhllaaa rember ur best fried Ana I went to different school and it ends at 3:10 I think but 4:00 for sure I don't have wifi but we can talk  thru here tomorrow I think we get the wifi then we talk okayy hewooo by they wayyy  

Step-by-step explanation:

bestiess

Answer:

there is no shape

Step-by-step explanation:

The power series representation of  \(\(g(x) = \frac{3}{{x^2 + x - 2}}\)\) using partial fractions is \(\(g(x) = -\frac{1}{{2}} - \frac{1}{4}x + \frac{1}{8}x^2 - \frac{1}{16}x^3 + \ldots + \sum_{n=0}^{\infty} (x - 1)^n\)\) with an interval of convergence of \(\(0 < x < 2\).\)

To express the function \(\(g(x) = \frac{3}{{x^2 + x - 2}}\)\) as a power series using partial fractions, we first factorize the denominator:

\(\(x^2 + x - 2 = (x + 2)(x - 1)\)\)

Now, we can express \(\(g(x)\)\) in terms of partial fractions as follows:

\(\(\frac{3}{{x^2 + x - 2}} = \frac{A}{{x + 2}} + \frac{B}{{x - 1}}\)\)

To find the values of \(\(A\)\) and \(\(B\)\), we can multiply through by the denominator:

\(\(3 = A(x - 1) + B(x + 2)\)\)

Expanding the right side:

\(\(3 = (A + B)x + (-A + 2B)\)\)

Comparing the coefficients of \(\(x\):\)

\(\(A + B = 0\)\)

Comparing the constant terms:

\(\(-A + 2B = 3\)\)

Solving this system of equations, we find \(\(A = -1\)\) and \(\(B = 1\).\)

Now, we can rewrite \(\(g(x)\)\) in terms of partial fractions:

\(\(g(x) = \frac{-1}{{x + 2}} + \frac{1}{{x - 1}}\)\)

To express \(\(g(x)\)\) as a power series, we can expand each term using the geometric series formula:

\(\(\frac{1}{{1 - u}} = 1 + u + u^2 + u^3 + \ldots\) (for \(|u| < 1\))\)

For the first term \(\(\frac{-1}{{x + 2}}\)\), we can rewrite it as:

\(\(\frac{-1}{{x + 2}} = -\frac{1}{{2}} \cdot \frac{1}{{1 - (-\frac{x}{2})}}\)\)

Using the geometric series formula with \(\(u = -\frac{x}{2}\):\)

\(\(\frac{-1}{{x + 2}} = -\frac{1}{{2}} \cdot \sum_{n=0}^{\infty} \left(-\frac{x}{2}\right)^n\)\)

For the second term \(\(\frac{1}{{x - 1}}\),\) we can rewrite it as:

\(\(\frac{1}{{x - 1}} = \frac{1}{{1 - (x - 1)}}\)\)

Using the geometric series formula with \(\(u = x - 1\):\)

\(\(\frac{1}{{x - 1}} = \sum_{n=0}^{\infty} (x - 1)^n\)\)

Combining both terms, we have:

\(\(g(x) = -\frac{1}{{2}} \cdot \sum_{n=0}^{\infty} \left(-\frac{x}{2}\right)^n + \sum_{n=0}^{\infty} (x - 1)^n\)\)

Now, let's simplify the power series representation of \(\(g(x)\):\)

\(\(g(x) = -\frac{1}{{2}} \cdot \sum_{n=0}^{\infty} \left(-\frac{1}{2}\right)^n x^n + \sum_{n=0}^{\infty} (x - 1)^n\)\)

Expanding both series terms:

\(\(g(x) = -\frac{1}{{2}} - \frac{1}{4}x + \frac{1}{8}x^2 - \frac{1}{16}x^3 + \ldots + 1 + (x - 1) + (x - 1)^2 + (x - 1)^3 + \ldots\)\)

Simplifying further:

\(\(g(x) = \sum_{n=0}^{\infty} \left(\frac{1}{8}x^2 - \frac{1}{16}x^3 + \ldots + 1 + (x - 1) + (x - 1)^2 + (x - 1)^3 + \ldots\right)\)\)

The interval of convergence of the power series representation of \(\(g(x)\)\) can be determined by examining the individual series terms. The first series \(\(\frac{1}{8}x^2 - \frac{1}{16}x^3 + \ldots\)\) converges for all values of \(\(x\)\) since it is a polynomial series. The second series \(\((x - 1) + (x - 1)^2 + (x - 1)^3 + \ldots\)\) converges when \(\(-1 < x - 1 < 1\)\), which simplifies to \(\(0 < x < 2\)\).

Therefore, the interval of convergence for the power series representation of \(\(g(x)\) is \(0 < x < 2\).\)

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Answer:

y=9b to the second power t over m

Step-by-step explanation:

should look like this

y=9b^2t/m

Answer:

i prefer substitution methon for this one

The other two points on the line are (2, 7) and (4, 14).

The slope is the rate of change of the y-axis with respect to the x-axis.

The equation of a line in slope-intercept form is y = mx + b, where

slope = m and y-intercept = b.

We know the greater the absolute value of a slope is the more steeper is it's graph or rate of change is large.

Given, Sonya walks on a treadmill at a constant rate of 3.5 miles per hour

it is the slope.

∴ The equation of this line passing through point (1, 3.5) is,

3.5 = 3.5(1) + b.

b = 0.

So, y = 3.5x.

Now the other points can be obtained by choosing some integer values of x.

When x = 2, y = 7 ⇒ (2, 7).

When x = 4, y = 14 ⇒ (4, 14).

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Answer:

Use a factor tree. For example, 625 = 5 x 125 = 5 x 5 x 25 = 5 x 5 x 5 x 5. Because there are 4 fives, and we are looking for the square root, (5 x 5) (5 x 5) = 625. Therefore the square root of 625 is 25.

Given the fraction of each colored chalk, Andrea is right that less than 1/2 the chalk in the bucket is blue.

Total = 2/6 + 5/12 + 3/12

= (4+5+3) / 12

= 12/12

= 1

Fraction of blue : Total chalk

= 5/12 : 1

Blue = 5/12 ÷ 1

= 5/12 × 1/1

= 5/12

= 0.42

So,

1/2 = 0.5

Therefore, Andrea is right that less than 1/2 the chalk in the bucket is blue.

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Step-by-step explanation:

.........................

The x-component of the net electric field at the origin can be found by considering the individual electric fields produced by the charges and their contributions in the x-direction.

To calculate the x-component, we need to determine the electric field contributions from each charge and then sum them up.

1. Identify the charges: Determine the positions and magnitudes of all charges involved.

2. Calculate the electric field contribution: For each charge, use Coulomb's law to calculate the electric field it produces at the origin. The electric field due to a point charge Q at a distance r from it is given by E = kQ/r^2, where k is the electrostatic constant.

3. Consider the direction: The electric field produced by each charge will have a direction. Since we are interested in the x-component, consider only the x-components of the electric fields for each charge.

4. Sum up the contributions: Add up all the x-components of the electric fields produced by the charges. The resulting sum will give you the x-component of the net electric field at the origin.

It is important to note that if any charges have the same sign, their contributions to the x-component of the net electric field will have the same sign. If any charges have opposite signs, their contributions will have opposite signs.

Remember to consider both positive and negative charges, as well as their distances from the origin, to determine the magnitude and direction of the x-component of the net electric field.This process allows you to find the x-component of the net electric field at the origin. By following these steps, you can determine the electric field strength in the x-direction at the origin due to the charges present.

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Answer:

C. is the answer

Step-by-step explanation:

got it right on edge 2020

Answer: -2/11

Step-by-step explanation:

Answer:

\(3n^2-4n-3\)

Step-by-step explanation:

The difference between each number is 5,11,17,23 and the difference between these numbers is 6. So by dividing 6 by 2, you get the n^2 co-efficient which in this case is \(3n^2\).

Then compare the \(3n^2\\\) pattern to the original pattern so:

-4, 1, 12, 29, 52

3, 12, 27, 48, 75

Subtract the original nth term sequence by the new \(3n^2\\\) pattern and you will get:

-7, -11, -15, -19, -23

The nth term of this new sequence is -4n-3.

By combining the 2 nth terms together, you get \(3n^2-4n-3\).

Hope this helps!

1. The  probability of landing on red is 7/20.

2. I will predict 25 to be white.

3. I will predict 48 to be blue.

4. It will most likely land on red.

Probability deals with the study of random events. It involves determining the likelihood or chance of an event occurring, based on the information available.

The basic formula for probability is:

P(event) = number of favorable outcomes / number of possible outcomes

number of possible outcomes = 7 + 5 + 4 + 4 = 20

1) P(red) = number of red / number of possible outcomes

P(red) = 7/20

2) when spun 100 times:

number of white = P(white) * 100

number of white = 5/20 * 100 = 25

3) when spun 240 times:

number of blue = P(blue) * 100

number of blue = 4/20 * 240 = 48

4) That will be the color with highest probability. That is color red with probability of 7/20.

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Answer:

Step-by-step explanation:

Use of formulas:

Simplifying

Answer:

\( { (\frac{2 {p}^{3} }{ {q}^{2} }) }^{( - 4)} = \frac{{2}^{(-4)} {p}^{(3 \times ( - 4))} }{ {q}^{(2 \times ( - 4))} } = \frac{ {p}^{ (- 12)} }{16 {q}^{( - 8)} }=\boxed{\frac{ {q}^{8} }{ 16{p}^{12} }} \\ \)

Answer: Solve the system of equations using substitution.

3x + 2y = 5

x = 2y + 7

(3, −2)

(5, −5)

(7, 0)

(11, 2)

Step-by-step explanation:

The quadrilaterals with exactly one pair of parallel sides are: Trapezoid and Isosceles Trapezoid.

1. Trapezoid: A trapezoid has exactly one pair of parallel sides. The other two sides are non-parallel. The parallel sides are called the bases, and the non-parallel sides are called the legs.

2. Isosceles Trapezoid: An isosceles trapezoid is a special type of trapezoid where the legs are congruent (equal in length). It has exactly one pair of parallel sides, which are the bases.

Note: In some sources, the term "parallelogram" is also included in this list because a parallelogram technically has one pair of parallel sides. However, a parallelogram is commonly defined separately as a quadrilateral with both pairs of opposite sides parallel. So, depending on the definition being used, a parallelogram may or may not be included in this list.

The quadrilaterals with exactly one pair of parallel sides are: Trapezoid and Isosceles Trapezoid.

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Answer:

Your answer is 3/4  or  0.75

Step-by-step explanation:

4/5  /   16/15

4/5  *   15/16

Cross simplify.

Answer:

acute

Step-by-step explanation:

Answer:

The answer is D alternate exterior angles

Step-by-step explanation: