I need some one to answer this question correctly ASAP pleases!!! I'll give you the brainless if you do.

Answer:

sin²x

Step-by-step explanation:

\(\frac{\tan \left(x\right)}{\tan \left(x\right)+\cot \left(x\right)}\)

\(=\frac{\sin ^2\left(x\right)}{\cos ^2\left(x\right)+\sin ^2\left(x\right)}\)

Rewrite using trigonometric identities

\(=\sin ^2\left(x\right)\)

Answer:

An equilateral triangle has three lines of symmetr

Step-by-step explanation:

letter d

Answer: 3

Step-by-step explanation: i took test

Answer:

There is no graph

Step-by-step explanation:

volume of sphere is increasing at a rate of  62,832 mm3/s.

 The volume of a three-dimensional space can be determined. It is frequently numerically expressed in terms of several imperial units or SI-derived units. Volume and length are dependent on one another.

Step 1: Define an equation that relates the volume of a sphere to its radius.

V = 4/3*π*r3

Step 2: Take the derivative of each side with respect to time (we will define time as "t").

(d/dt)V = (d/dt)(4/3*π*r3)

dV/dt = 4πr2*dr/dt

Step 3: We are told in the problem statement that diameter is 100m, so therefore r = 50mm. We are also told the radius of the sphere is increasing at a rate of 2mm/s, so therefore dr/dt = 2mm/s. We are looking for how fast the volume of the sphere is increasing, or dV/dt.

dV/dt = 4π(50mm)2*(2mm/s)

dV/dt = 62,832 mm3/s

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Answer:

18 liters

Step-by-step explanation:

260 km : 65 L

72 km : ? L

Find out how far you can travel on 1 L

65/250 = 4 km

4 km : 1 L

Good. We can use this to find out how much liters we need to travel 72 km.

72 km : ? L :: 4 km : 1 L

72/4 = 18

Alas, we have our answer of 18 liters.

Answer:

kk

Step-by-step explanation:

kk

Answer:

Range => y ≤ -2

Domain => All real numbers

Step-by-step explanation:

As it extends horizontally either way, domain can be any possible value.

Whereas it only extends from -2 towards the bottom, therefore the range will be less than or equal to -2.

Answer: C {48,65,80}

Step-by-step explanation:

In order for it to be a right triangle it would have to be {48,64,85}

Hope this helps

I think that for a its 1.12 and for b its 39424

100 + 12 = 112
112/100 = 1.12

35200 * 1.12 = 39424

Answer:

32

Step-by-step explanation:

normal cost of the tennis racket is $80

10% of 80 is 8 you get that buy doing 80 ÷ 10

then 8 which is ten percent × 6 (to make it 60)

8 × 6 = $48

total price - discount

80 - 48 = 32

you could also just do 8 × 4 which would give you 40 percent of the total price :)

8 x 4 = 32

please let me know if you need any more help :) have an amazing day!

Answer:

I believe it is slope

Step-by-step explanation:

Answer:

\(\frac{5}{24}\)

Step-by-step explanation:

\(\frac{5x^3}{6}\) × \(\frac{1}{4x^3}\) ( cancel x³ on numerator/ denominator )

= \(\frac{5}{6}\) × \(\frac{1}{4}\)

= \(\frac{5(1)}{6(4)}\)

= \(\frac{5}{24}\)

Answer:

456

Step-by-step explanation:...

~Denki~

Answer:

the length of "AC" should be the same as it was before it was reflected over the y-axis.

(there is no picture so i cant get as specific as intended)

hope this helps :D

Answer:

4w = 8

Step-by-step explanation:

Product is multiply

Is means equals

4w = 8

Answer:

63 is the answer

Step-by-step explanation:

plzz mark as brainliest

Answer:

Find the question mark using the model I've provided and that'll be the answer!

Answer:

Step-by-step explanation:

Given:

The last equation can be written as:

Possible values of b are 1, 2, 3, 4

If b = 1

If b = 2

If b = 3

Let's assume that the total amount of money shared among Caroline, Colin, and Sarah is represented by the value "x".

According to the given information, Caroline gets 19 parts out of the total money. This means she receives \(\frac{19}{20}\) (or 19 parts out of 20 parts) of the total amount.

The remaining money, which is 1 part out of 20 parts, is shared between Colin and Sarah in a ratio of 1:3. Since the ratio is 1:3, we can divide the 1 part into four equal parts. Colin would receive \(\frac{1}{4}\) of the remaining money, and Sarah would receive \(\frac{3}{4}\) of the remaining money.

To find the proportion that Sarah receives, we calculate her share as a fraction of the total money. Sarah's share would be \(\frac{3}{4}\) of \(\frac{1}{20}\) of the total money:

\(Proportion = (\frac{3}{4} ) * (\frac{1}{20}) * x\)

Simplifying the expression, we have:

\(\[ \text{{Proportion}} = \frac{{3}}{{80}} \times x \]\)

Therefore, Sarah gets a proportion of \(\frac{3}{80}\) of the total money.

\(\[ \text{{Proportion}} = \frac{{3}}{{80}} \times x \]\)

Thus, Sarah receives a proportion of \($\frac{3}{80}$\) of the total money.

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A graph of the given linear function (y = 2x/7 - 2)is shown in the image attached below.

The domain of the given linear function is (-∞, ∞).

The range of the given linear function is (-∞, ∞).

In Mathematics, the horizontal extent of a graph represents all domain values and they are read and written from smaller to larger numerical values, and from the left of a graph to the right.

Furthermore, the vertical extent of a graph represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph of this function shown in the image attached below, we can reasonably and logically deduce the following domain and range:

Domain = -∞ < x < ∞ or (-∞, ∞).

Range = -∞ < y < -∞ or (-∞, ∞).

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Complete Question:

Given the following linear function sketch the graph of the function and find the domain and range. y = 2x/7 - 2

Answer:

$70.84

Step-by-step explanation:

Answer:

40 + 6x = 3

Step-by-step explanation:

Multiple all the way through by 8

8( 5 + \(\frac{3}{4}\) x) = (\(\frac{3}{8}\))8

8(5) + \(\frac{8}{1}\)\((\frac{3}{4})\)x = \(\frac{3}{8}\)\((\frac{8}{1})\)

40 + 6x = 3

The requried there are 192,000 different ways to choose one teacher, one girl, and one boy to represent the school.

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Here,
To work out the number of different ways to choose one teacher, one girl, and one boy, we can use the multiplication principle of counting.

First, we need to choose one teacher out of 16. This can be done in 16 ways. Next, we need to choose one girl out of 120. This can be done in 120 ways. Finally, we need to choose one boy out of 100. This can be done in 100 ways.

By the multiplication principle of counting, the total number of ways to choose one teacher, one girl, and one boy is,

16 × 120 × 100 = 192,000

Therefore, there are 192,000 different ways to choose one teacher, one girl, and one boy to represent the school.

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With a credit card balance of $17,426, a minimum monthly payment of $461, and an interest rate of 15.5%, we need to calculate the number of years it will take to pay off the card without adding any additional debt.

To determine the time required to pay off the credit card, we consider the monthly payment and the interest rate. Each month, a portion of the payment goes towards reducing the balance, while the remaining balance accrues interest.

To calculate the time needed for repayment, we track the decreasing balance each month. First, we determine the interest accrued on the remaining balance by multiplying it by the monthly interest rate (15.5% divided by 12).

We continue making monthly payments until the remaining balance reaches zero. By dividing the initial balance by the monthly payment minus the portion allocated to interest, we obtain the number of months needed for repayment. Finally, we divide the result by 12 to convert it into years.

In this scenario, it will take approximately 3.81 years to pay off the credit card (17,426 / (461 - (17,426 * (15.5% / 12))) / 12).

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Step-by-step explanation:

(3/4)x=24

3x/4=24

3x=24×4

x=(24×4)/3

x=32

The solution is y = 2500/27

The value of y is 2500/27 when x = 5

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

Given data ,

Let the proportionality constant be represented as = k

Now , the value of k is calculated by

y is directly proportional to the cube of x

Substituting the values in the equation , we get

y ∝ x³

On simplifying the equation , we get

y = kx³   where k is the proportionality constant

Now ,

when x = 3 , y = 20

Substituting the values in the equation , we get

20 = k ( 3 )³

20 = k x 27

Divide both sides by 27 , we get

k = 20/27

So , the proportionality constant k = 20/27

Now , when x = 5 ,

y = 20/27 ( 5 )³

y = ( 20 x 5 x 5 x 5 ) / 27

y = 2500/27

Therefore , the value of y is 2500/27

Hence ,

The value of y is 2500/27 and the proportionality constant is 20/27

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The correct option among the given choices is c. is often performed automatically, without awareness

A healthy habit is a behavior or action that people consistently engage in, usually without giving it any conscious thought.

These routines get established with these habits, which are frequently carried out automatically and unknowingly. frequently brushing your teeth, washing your hands before eating, using the stairs instead of the elevator, and exercising frequently are a few examples of healthy habits.

Therefore, option C is the most accurate description of a healthy habit.

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a) Overall probability of getting exactly 60 heads in 100 flips is given by: 0.5 * P(X = 60 | coin A) + 0.5 * P(X = 60 | coin B) = 0.5 * P(X = 60 | coin A). b) The overall probability of getting exactly m heads in n flips is given by: 0.5 * P(X = m | coin A) + 0.5 * P(X = m | coin B).

a) In this scenario, you have two coins: a fair coin (coin A) with a 50% chance of getting heads, and a two-headed coin (coin B) with a 100% chance of getting heads. When picking a coin from the urn, you have an equal probability (50%) of choosing either coin.

Let's compute the probability of getting exactly 60 heads after 100 flips:

1. If you choose coin A (fair coin): The probability of getting 60 heads in 100 flips follows a binomial distribution with parameters n = 100 and p = 0.5. The probability is given by the formula: P(X = 60) = C(100, 60) * (0.5)^60 * (0.5)^40, where C(100, 60) is the number of combinations of 100 flips taken 60 at a time.

2. If you choose coin B (two-headed coin): Since it always lands heads, getting 60 heads in 100 flips is impossible.

Now, we need to consider the probability of selecting either coin A or B. Since there's a 50% chance of selecting either coin, the overall probability of getting exactly 60 heads in 100 flips is given by: 0.5 * P(X = 60 | coin A) + 0.5 * P(X = 60 | coin B) = 0.5 * P(X = 60 | coin A).

b) To generalize the result for getting exactly m heads after n flips, we can follow the same approach:

1. If you choose coin A (fair coin): The probability of getting m heads in n flips follows a binomial distribution with parameters n and p = 0.5. The probability is given by the formula: P(X = m) = C(n, m) * (0.5)^m * (0.5)^(n-m).

2. If you choose coin B (two-headed coin): The probability of getting m heads in n flips is 1 if m = n (as all flips result in heads) and 0 otherwise (if m < n).

The overall probability of getting exactly m heads in n flips is given by: 0.5 * P(X = m | coin A) + 0.5 * P(X = m | coin B).

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Main Answer:The equations :xcosx - 2x^2 + 3x - 1 = 0 on [1.2, 1.3]

x - (lnx)^x = 0 over [4, 5] have at least one solution on the given interval.

Supporting Question and Answer:

What is the Intermediate Value Theorem?

The Intermediate Value Theorem states that if a function is continuous on a closed interval and takes on values of opposite signs at the endpoints of the interval, then it must have at least one root (or solution) within that interval.

Body of the Solution:To show that the equations have at least one solution on the given intervals, we can use the Intermediate Value Theorem. According to the theorem, if a function is continuous on a closed interval and takes on values of opposite signs at the endpoints of the interval, then it must have at least one root within that interval.

Let's analyze each equation separately:

xcosx - 2x^2 + 3x - 1 = 0 on [1.2, 1.3]

To apply the Intermediate Value Theorem, we need to show that the function is continuous on the interval and takes on values of opposite signs at the endpoints.

First, let's check the continuity of the function. Both xcosx and -2x^2 + 3x - 1 are continuous functions on their respective domains. Thus, their sum, xcosx - 2x^2 + 3x - 1, is also continuous on the interval [1.2, 1.3].

Next, we evaluate the function at the endpoints:

f(1.2) = (1.2)cos(1.2) - 2(1.2)^2 + 3(1.2) - 1

≈ 0.0317

f(1.3) = (1.3)cos(1.3) - 2(1.3)^2 + 3(1.3) - 1

≈ -0.0735

Since f(1.2) is positive and f(1.3) is negative, the function changes sign within the interval [1.2, 1.3]. Therefore, by the Intermediate Value Theorem, the equation xcosx - 2x^2 + 3x - 1 = 0 has at least one solution within the interval [1.2, 1.3].

x - (lnx)^x = 0 over [4, 5]

Again, we need to verify the continuity of the function and the sign change at the endpoints.

The function x - (lnx)^x is continuous on the interval [4, 5], as both x and lnx are continuous functions on their respective domains.

Evaluating the function at the endpoints:

f(4) = 4 - (ln4)^4

≈ -3.9616

f(5) = 5 - (ln5)^5

≈ 3.0342

Since f(4) is negative and f(5) is positive, the function changes sign within the interval [4, 5]. By the Intermediate Value Theorem, the equation x - (lnx)^x = 0 has at least one solution within the interval [4, 5].

Final Answer:In both cases, we have shown that the equations have at least one solution within the given intervals using the Intermediate Value Theorem.

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The equations :xcosx - 2x²  + 3x - 1 = 0 on [1.2, 1.3]

x - (lnx)^x = 0 over [4, 5] have at least one solution on the given interval.

The Intermediate Value Theorem states that if a function is continuous on a closed interval and takes on values of opposite signs at the endpoints of the interval, then it must have at least one root (or solution) within that interval.

To show that the equations have at least one solution on the given intervals, we can use the Intermediate Value Theorem. According to the theorem, if a function is continuous on a closed interval and takes on values of opposite signs at the endpoints of the interval, then it must have at least one root within that interval.

Let's analyze each equation separately:

xcosx - 2x²  + 3x - 1 = 0 on [1.2, 1.3]

To apply the Intermediate Value Theorem, we need to show that the function is continuous on the interval and takes on values of opposite signs at the endpoints.

First, let's check the continuity of the function. Both xcosx and -2x²  + 3x - 1 are continuous functions on their respective domains. Thus, their sum, xcosx - 2x²  + 3x - 1, is also continuous on the interval [1.2, 1.3].

Next, we evaluate the function at the endpoints:

f(1.2) = (1.2)cos(1.2) - 2(1.2)²  + 3(1.2) - 1

≈ 0.0317

f(1.3) = (1.3)cos(1.3) - 2(1.3)²  + 3(1.3) - 1

≈ -0.0735

Since f(1.2) is positive and f(1.3) is negative, the function changes sign within the interval [1.2, 1.3]. Therefore, by the Intermediate Value Theorem, the equation xcosx - 2x² + 3x - 1 = 0 has at least one solution within the interval [1.2, 1.3].

x - (lnx)ˣ = 0 over [4, 5]

Again, we need to verify the continuity of the function and the sign change at the endpoints.

The function x - (lnx)ˣ is continuous on the interval [4, 5], as both x and lnx are continuous functions on their respective domains.

Evaluating the function at the endpoints:

f(4) = 4 - (ln4)⁴

≈ -3.9616

f(5) = 5 - (ln5)⁵

≈ 3.0342

Since f(4) is negative and f(5) is positive, the function changes sign within the interval [4, 5]. By the Intermediate Value Theorem, the equation x - (lnx)^x = 0 has at least one solution within the interval [4, 5].

In both cases, we have shown that the equations have at least one solution within the given intervals using the Intermediate Value Theorem.

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Main answer: Transformations of basic functions depend on the changes made to their variables.

Supporting answer :Functions can be transformed in different ways. The variable a modifies the vertical stretch or compression of a function. A negative value of a produces a reflection over the x-axis. The variable b is used to modify the horizontal stretch or compression of the function. A negative value of b produces a reflection over the y-axis. The variable h translates the graph to the left (h > 0) or to the right (h < 0). Lastly, the variable k translates the graph up (k > 0) or down (k < 0).

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The derivative of f(x) = sech^(-1)(x^2) is f'(x) = 2x/sqrt(1 - x^4).

a) To find f'(x) for f(x) = x*sin(x), we can use the product rule and the derivative of the sine function.

Using the product rule, we have:

f'(x) = (xsin(x))' = xsin'(x) + sin(x)*x'

The derivative of sin(x) is cos(x), and the derivative of x with respect to x is 1. Therefore:

f'(x) = x*cos(x) + sin(x)

So, the derivative of f(x) = xsin(x) is f'(x) = xcos(x) + sin(x).

(b) To find f'(x) for f(x) = sech^(-1)(x^2), we can use the chain rule and the derivative of the inverse hyperbolic secant function.

Let u = x^2. Then, f(x) can be rewritten as f(u) = sech^(-1)(u).

Using the chain rule, we have:

f'(x) = f'(u) * u'

The derivative of sech^(-1)(u) can be found using the derivative of the inverse hyperbolic secant function:

(sech^(-1)(u))' = 1/sqrt(1 - u^2)

Since u = x^2, we have:

f'(x) = 1/sqrt(1 - (x^2)^2) * (x^2)'

Simplifying:

f'(x) = 1/sqrt(1 - x^4) * 2x

So, the derivative of f(x) = sech^(-1)(x^2) is f'(x) = 2x/sqrt(1 - x^4).

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