Can someone help me

Answer:

d = \(\frac{2}{5}\)

Step-by-step explanation:

\(\frac{3}{2}\) = 5d - \(\frac{1}{2}\)

multiply through by 2 to clear the fractions

3 = 10d - 1 ( add 1 to both sides )

4 = 10d ( divide both sides by 10 )

\(\frac{4}{10}\) = d , then

d = \(\frac{2}{5}\)

Take the derivative of y with respect to t to determine the rate at which the person's percentage of income spent on food is changing over time on October 1:

Dy/dt = Dy/dx * Dy/dt

By considering the derivative of y with respect to x, we can first determine dy/dx:

dy/dx = 35

Next, by taking the derivative of x with respect to t, we may determine dx/dt:

dx/dt = 0.2

Now, we can change these numbers in the dy/dt equation to:

35 * 0.2 = 7                 where dy/dt = dy/dx * dx/dt

As a result, as of October 1, the percentage that the person spends on food is changing at a rate of 7 percentage points per month.

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Answer:

Step-by-step explanation:

hdhf

1. H is a normal subgroup of G.

2. o(aja₂am)o⁻¹ = (o(au)o(az)olam).

1. Proof that H is a normal subgroup of G:

Since H has index 2 in G, there are exactly two distinct left cosets of H in G. Let these cosets be H and gH, where g is an element of G that is not in H. By the definition of index, we have |G : H| = 2, which implies that |G| = 2|H|. Since the order of G is twice the order of H, it follows that every element of G not in H must be in the coset gH.

Now, we will show that for any element a in G, the left coset aH is equal to the right coset Ha. Let's consider an arbitrary element h in H:

h ∈ H ⇒ ha ∈ aH (by the definition of left coset)

h ∈ H ⇒ ha ∈ Ha (by the definition of right coset)

Since aH contains all elements of the form ha, and Ha contains all elements of the form ha, we can conclude that aH = Ha for any a in G.

Next, we need to show that H is a subgroup of G. Since H has index 2, it means that the left coset H is distinct from the right coset H. Let's consider the left coset H:

H = {h₁, h₂, ..., hₙ}

Since aH = Ha for any a in G, it implies that:

ah₁ = h₁a

ah₂ = h₂a

...

ahₙ = hₙa

Therefore, H is closed under the group operation, which is one of the requirements for a subgroup. Additionally, the identity element e is in both H and G. Furthermore, for every element h in H, its inverse h⁻¹ is also in H. Hence, H satisfies all the conditions to be a subgroup of G.

Finally, since H is a subgroup of G and aH = Ha for any a in G, we can conclude that H is a normal subgroup of G.

2. Proof that o(aja₂am)o⁻¹ = (o(au)o(az)olam):

Let o be an arbitrary element in Sn. Consider the permutation (az az · Am) as a cycle in Sn, where the ai are distinct elements. We need to show that:

o(aja₂am)o⁻¹ = (o(au)o(az)olam)

To prove this, we will apply the permutation o to each element separately:

o(aja₂am)o⁻¹ = o(a) o(j) o(a₂) o(am) o⁻¹

Now, let's analyze each part of the expression:

o(a): This represents the action of the permutation o on the element a. The result is o(a).

o(j): Since j is fixed, o(j) = j.

o(a₂): This represents the action of the permutation o on the element a₂. The result is o(a₂).

o(am): This represents the action of the permutation o on the element am. The result is o(am).

o⁻¹: This represents the inverse permutation of o. Applying the inverse permutation to the result of the previous steps, we have:

o⁻¹(o(a)) o⁻¹(j) o⁻¹(o(a₂)) o⁻¹(o(am))

o⁻¹(o(a)) = a, since o and o⁻¹ cancel each other out.

o⁻¹(j) = j, since j is fixed.

o⁻¹(o(a₂)) = a₂, since o and o⁻¹ cancel each other out.

o⁻¹(o(am)) = am, since o and o⁻¹ cancel each other out.

Combining these results, we get:

o(aja₂am)o⁻¹ = o(a) o(j) o(a₂) o(am) o⁻¹

= ajo(a₂)am

= (o(au)o(az)olam)

Therefore, we have shown that o(aja₂am)o⁻¹ = (o(au)o(az)olam).

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Answer:

Variability (also called spread or dispersion) refers to how spread out a set of data is. Variability gives you a way to describe how much data sets vary and allows you to use statistics to compare your data to other sets of data. The four main ways to describe variability in a data set are: range. Interquartile range.

Step-by-step explanation:

Given:

Angle = -770°

Let's find angle A which is coterminal with the given angle.

Where:

0°

Coterminal angles can be said to be angles that sum up to a multiple of 360 degrees.

The angle which measures -770 is 2 revelotions and 50 degrees:

-360 - 360 - 50 = -770

Tus, to find the coterminal angle, we have:

360 - 50 = 310°

Therefore, the coterminal angle with an angle measuring -770° is 310°.

ANSWER:

310°

Step-by-step explanation:

the correct answer is option a 6a-7

Answer:

o

Step-by-step explanation:

the displacement is zero

The population of the town in 5 years will be approximately 28,982.

A data pattern known as exponential growth exhibits faster expansion over time. Compounding generates exponential profits in finance. Exponential growth is possible in savings accounts with a compounding interest rate. Compound returns in finance lead to exponential development. One of the most potent forces in finance is the power of compounding. With the help of this idea, investors may generate sizable sums with little start-up money. Compound interest savings accounts are typical instances of exponential development.

Given that, population of a town increases by 3% each year.

The population after 5 years is calculated by:

Population in 5 years = Initial population x (1 + rate) raised to time.

That is,

Population in 5 years = 25,000 x (1 + 0.03)⁵

Population in 5 years = 25,000 x 1.159274

Population in 5 years = 28,981.85

Hence, the population of the town in 5 years will be approximately 28,982.

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Answer:

approximately 157 square units

Step-by-step explanation:

To find areas of all shaded regions, find the area of each of the three triangles

Area of circle with diameter of 6, radius of 3 is:

A = π3² = 9π

Area of circle with diameter of 8, radius of 4 is:

A = π4² = 16π

Area of circle with diameter of 10*, radius of 5 is:

A = π5² = 25π

*Found this value by using the Pythagorean Theorem for the right triangle

Total Area = 50π which is approximately 157 square units

Answer:

75°

Step-by-step explanation:

The chord- chord angle is half the sum of of the arcs intercepted by the angle and its vertical angle, then

∠ 1 = \(\frac{1}{2}\) (110 + 40)° = 0.5 × 150° = 75°

Answer:

see explanation

Step-by-step explanation:

Both sequences have a common difference between consecutive terms, that is

2 - 1 = 3 - 2 = 4 - 3 = 1

This indicates the sequence is arithmetic with n th term

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 1 and d = 1 , thus

\(a_{n}\) = 1 + n - 1 = n

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

Similarly

d = 9 - 5 = 13 - 9 = 17 - 13 = 4 and a₁ = 5 , then

\(a_{n}\) = 5 + 4(n - 1) = 5 + 4n - 4 = 4n + 1

Answer: multiplying by denominators

Step-by-step explanation: not sure if this is the right answer in this context but i hope it helps

technically cross multiplying basically is multiplying by denominators, but depending on the math level they are sometimes considered different methods

again, this may not be correct so if you want a more clear answer could you provide a bit of context? sorry, hope it helps anyway though.

The total area of the kite is : 40 x 108

A kite is a quadrilateral with four sides and four angles.

Two sides of the quadrilateral are equal.

Analysis:

Area of 2 top triangles with 40cm base and 33 cm height = 1/2bh + 1/2bh

= bh

where b = base = 40cm  h = height = 33cm

Area of 2 top triangles = 40cm x 33cm

Area of two bottom triangles with 40cm base and 75cm height

= 40cm x 75cm

= 40cm x 75cm + 40cm x 33cm

= 40cm( 75 + 33) = 40 x 108

in conclusion, the area of the kite is 40 x 108.

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Answer:

(40)(108) & (40)(33)+(40)(75)

Option 1 & 3

Correct Answer 100%. Pls, give me brainliest. Thank You.

Answer:

i think the 2nd one

Step-by-step explanation:

The maximum rate of change of function f at the given point occurs in the direction of the gradient vector.

To find the maximum rate of change of a function f at a given point, we need to compute the gradient of the function and evaluate it at that point. The gradient represents the direction of steepest ascent, and its magnitude indicates the maximum rate of change.

By finding the partial derivatives of f with respect to each variable and evaluating them at the given point, we obtain the components of the gradient vector. The maximum rate of change occurs in the direction of this gradient vector. Without the specific function and point, it is not possible to determine the exact maximum rate of change or its direction.

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Answer:

easy

x=4 y=7 or

x=4 y=-1

Step-by-step explanation:

x=4 y=7 or

x=4 y=-1

Answer:

12

Step-by-step explanation:

The most important factor is the total budget $1334.50, for the softball tournament.

1. Subtract $779.50 from $1334.50 = $555

2. We have $555 left, and a budget of $46.25 per player for meals

3. Divide 555/46.25 = 12

4. 12 softball players can be brought to the tournament

The number of players the team can bring to the tournament is 12 in number.

Given total amount raised = $1334.50

Bus rental cost = $779.50

Meal cost per player = $46.25

Remaining budget for players = Total amount raised - Bus rental cost

= $1334.50 - $779.50

= $555.00

Now, we need to find out how many players the team can bring to the tournament with the remaining budget:

Number of players = Remaining budget / Meal cost per player

= $555.00 / $46.25

= 12

So, the team can bring approximately 12 players to the tournament with the remaining budget.

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Answer: (0;3)

\(\left \{ {{x+3y=9} \atop {-2x+2y=6}} \right. \\\\\\<=>\left \{ {x+3{y=9} \atop {-x+y=3}} \right.\\\\\\=> \left \{ {{4y=12} \atop {-x+y=3}} \right.\\\\\\<=>\left \{ {{y=3} \atop {-x+y=3}} \right.\\\\\\<=>\left \{ {{y=3} \atop {-x=0}} \right. \\\\\\<=>\left \{ {{y=3} \atop {x=0}} \right.\)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

A triangles sum of all the angles will be 180, so since we already have one as 120, then that least 60. So the sum of the two extra angles has to be 60.

The average population being studied is people with warts. Specifically, this population includes individuals of all ages who have been diagnosed with any type of wart caused by a virus, such as common warts, plantar warts, and flat warts.

The population being studied is people with warts. Warts are caused by a virus and can occur anywhere on the body. Common warts, plantar warts, and flat warts are the most common types. Common warts are usually found on the hands and fingers, and are usually round and raised. Plantar warts are found on the soles of the feet and can be painful. Flat warts are usually found on the face, arms, and legs, and are generally flat and smooth. People of all ages can be affected by warts, and they are highly contagious and can be spread through contact with an infected person or surface. Treatment options include over-the-counter medicines and prescription medications, as well as cryotherapy and laser treatments. This population is being studied to better understand the causes, risk factors, and treatments for warts.

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The complete question is

what is the population being studied warts and  the prevalence of warts in the population being studied?

The smallest measurement used in the apothecary system for volume is the minim.

The apothecary system is an outdated system of measurements primarily used in pharmacy and medicine. It includes various units for measuring volume, weight, and other quantities.

In the apothecary system, the minim is the smallest unit of measurement for volume. It is equivalent to approximately 0.0616 milliliters.

The minim is a small unit of measurement and is typically used for precise dosing of liquids in the apothecary system. It is commonly used in pharmaceutical compounding and in the preparation of medications.

However, it's important to note that the apothecary system is no longer widely used in modern healthcare practices. The metric system, with units such as milliliters and liters, has become the standard for measuring volume in most countries.

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If x and y are independent variables such that x has uniform distribution (0,1) and y has exponential distribution means 1 then e (X+Y) is 3/2, E(XY) is 1/2, E (x-y)2 is 4/3 and E x2 e24 is -1/3

\(2^{2}\)\(e^{ty}\)x ≈ u (0,1) > Independent

y ≈ exp (1) > Independent

E (x) = 0+1/2 = 1/2

v (x) = \([1- 0 ] ^{2}\) / 12 = 1/12

E \(x^{2}\) = v (x) + \([ E x]^{2}\)

       = 1/12 + 1/4 = 1+3/12 = 4/12 = 1/3

E (y) = 1  v(y)=1  E \(y^{2}\)= 1+1= 2

E\(e^{ty}\) = \(\int\limits^_0\)\(e^{ty}\)\(e^{-y} dy\)

E\(e^{ty}\)  = \(\int\limits^_0\)\(e^{-y} (1-t)\) dy

a : E (x+y) = E (x) + E(y)

       E (x+y) = 1/2+1 = 3/2

b: E (xy) = E (x) E(y) = 1/2 x 1 = 1/2

c: E \([x-y]^2\) = E (\(x^{2}\)-2xy+ \(y^{2}\)

   = E \(x^{2}\) - 2 Exy + E \(y^{2}\)

  =  1/3 - 2 x 1/2 + 2

   = 1/3 + 1 = 4/3

d. E \(x^{2}\) \(e^{24}\)

   E (\(x^{2}\) ) E \(e^{24}\) = 1/3 x -1 = - 1/3

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Equation used to represent the relation between the number of pages written to the number of hours used with constant of proportionality is

x = 4y.

As given in the question,

Let us consider number of pages write by Bill be 'x'

And number of hours represented by 'y'

Number of hours used by Bill to write 4 pages = 1 hour

Number of pages written by Bill in 1 hour = 4

Given :

Number of pages is proportional to the number of hours

⇒ x ∝ y

⇒ x = ky

Where 'k' is the constant of proportionality.

When x = 4 , y = 1

substitute the value in the equation,

4 = k(1)

⇒ k = 4

Now the required equation with the constant of proportionality k = 4 is:

x = 4y

Therefore, the required equation to represent the relation between number of pages written to the number of hours used with constant of proportionality is equal to x =4y.

The complete question is:

Bill enjoys writing in his spare time. He writes 4 pages per hour. The proportional relationship between the number of pages written to the number of hours is represented by the equation ______. Write the equation in standard form with a constant of proportionality.

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To determine how many scarves Maddie can make and still have at least 3.5 ounces of yarn left over, we can use division and subtraction.

First, we need to figure out how much yarn Maddie will use to make two pairs of mittens:

2 pairs of mittens x 2 mittens per pair x 2.25 ounces of yarn per mitten = 9 ounces of yarn

Next, we can subtract the amount of yarn needed for the mittens from the total amount of yarn Maddie has:

28.14 ounces of yarn - 9 ounces of yarn = 19.14 ounces of yarn remaining

Now, we can divide the remaining amount of yarn by the amount needed for each scarf to find out how many scarves Maddie can make:

19.14 ounces of yarn ÷ 5.25 ounces of yarn per scarf ≈ 3.64 scarves

Since Maddie can't make a fraction of a scarf, we need to round down to the nearest whole number. Therefore, Maddie can make 3 scarves and still have at least 3.5 ounces left over to make two pairs of mittens.

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