HELP ASAPPPPPP WILL MARK BRAINLIEST!!!!!

The solution to the equation  is  mathematically given as

m=-2

This is further explained below.

Generally, the equation is  mathematically given as

\(\frac{m}{m+4}+\frac{1}{4-m}=\frac{m^2}{m^2-16}\)

Where

The LCM of the denominators  are

m^2-16=(m+4)(m-4)

Hence

\((m+4)(m-4)\left(\frac{m}{m+4}+\frac{4}{4-m}\right)=(m+4)(m-4) \cdot \frac{m^2}{m^2-16} \\\)

m(m-4)-4(m+4)=m^2

m^2-4 m-4 m-16=m^2

8 m=-16

m=-2

In conclusion, the solution to the equation is

m=-2

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Answer:m=-2

Step-by-step explanation:

just answered

Answer:

1.375 lbs

Step-by-step explanation:

Using proportions, it is found that the height of the pineapple is of 280 inches = 23 ft 4 in.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, considering that a feet has 12 inches, the measures in inches, and applying the similarity of triangles, the proportions are as follows:

\(\frac{h}{64} = \frac{105}{24}\)

Applying cross multiplication:

24h = 64 x 105

h = 64 x 105/24

h = 280

The height of the pineapple is of 280 inches = 23 ft 4 in.

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Answer: a. y=3      slope = 0

b. x=-4 slope does not exist

Step-by-step explanation:

Answer: 18 boxes per hour

Step-by-step explanation:

72 divided by 4 is 18

The value of z is 8633/137 or 63.01, approximately.

\(\frac{x}{y} =\frac{z}{100}\)

\(\frac{x}{y}*100 =\frac{z}{100}*100\\ \\100\frac{x}{y} =z\\ \\z=100\frac{x}{y}\)

\(z=100\frac{(86.33)}{(137)}\\ \\z=\frac{8633}{137}=63.01\)

If the calculated value of "z" is correct, then the original equation should return the same value on both sides of the equal symbol (=) when substiting all the variables by their respective value.

\(\frac{86.33}{137} =\frac{\frac{8633}{137}}{100}\\ \\0.63=0.63\)

That's correct!

Hence, the value of z is 8633/137 or 63.01.

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Given:

Discount 1, d1=35%

Discount 2, d2=20%.

Discount 3, d3=15%.

Discount 4, d4=10%.

The net decimal equaivalent can be calculated as,

Therefore, the net decimal equaivalent of discount is 0.3978.

Rollaway Skates is cheaper when the number of people is less than or equal to 4. For example, the cost for 2 people at Rollaway Skates is $10, while the cost for 2 people at Wheelie's Skates and Stuff is $106.

Wheelie's Skates and Stuff is cheaper when the number of people is greater than or equal to 5. For example, the cost for 6 people at Rollaway Skates is $30, while the cost for 6 people at Wheelie's Skates and Stuff is $118.

I hope this helps! Do you have any other questions?

Given:

Required: Area of the room, cost to carpet the room and square feet of carpet are covered by furniture

Explanation:

a) Plug the values into the formula

gives

Area of the room is 812 square feet.

b) Cost of carpet per square foot = $8.30

Cost to carpet the room

Cost to carpet the room is 6739.6 dollars.

c) Area of the furniture covers = 25% of Area of the room

So, 203 square feet of carpet are covered by furniture.

Final Answer: a) Area of the room is 812 square feet.

b) Cost to carpet the room is 6739.6 dollars.

c) 203 square feet of carpet are covered by furniture.

Answer:

yes

Step-by-step explanation:

y + es = yes so do you understand i think i made it pretty clear. if not let me know.

Using the normal distribution, it is found that the mean is of \(\mu = 37.27\) and the standard deviation is of \(\sigma = 5.68\).

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem, we have that the p-value of Z when X = 30 is of 0.1, hence, when X = 30, Z = -1.28, so:

\(Z = \frac{X - \mu}{\sigma}\)

\(-1.28 = \frac{30 - \mu}{\sigma}\)

\(30 - \mu = -1.28\sigma\)

\(\mu = 30 + 1.28\sigma\)

The p-value of Z when X = 32.5 is of 0.2, hence when X = 32.5, Z = -0.84, hence:

\(Z = \frac{X - \mu}{\sigma}\)

\(-0.84 = \frac{32.5 - \mu}{\sigma}\)

\(32.5 - \mu = -0.84\sigma\)

\(\mu = 32.5 + 0.84\sigma\)

Hence:

\(30 + 1.28\sigma = 32.5 + 0.84\sigma\)

\(0.44\sigma = 2.5\)

\(\sigma = \frac{2.5}{0.44}\)

\(\sigma = 5.68\)

\(\mu = 32.5 + 0.84(5.68) = 37.27\)

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Answer:

3.33

4.33

TVE figures is that

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

We have,

To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.

Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:

∫ (log(1 + (u-1)²) / u²) du.

Expanding the numerator, we have:

∫ (log(1 + u² - 2u + 1) / u²) du

= ∫ (log(u² - 2u + 2) / u²) du.

Now, let's split the logarithm using the properties of logarithms:

∫ (log(u² - 2u + 2) - log(u²)) / u² du

= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.

We can simplify the second integral:

∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.

Using the power rule for integration, we can integrate both terms:

∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.

Now, let's focus on the second integral:

∫ (log(u) / u³) du.

This integral does not have a simple closed-form solution in terms of elementary functions.

It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).

Therefore,

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

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Answer:

8 faces

Step-by-step explanation:

F = # faces

4 + F + F = 18 + 2

2F + 4 = 20

2F = 16

F = 8

Answer:

8

Step-by-step explanation:

got it right on test

Answer:

the the first one

Step-by-step explanation:

Answer:

8 pizzas

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

7*4 = 28 or 28 divided by 7 = 4

Answer:

386.75

Step-by-step explanation:

added in the picture

The cost of joining the gym for 6 months is 386.75.

Given,

The function G(m) = 49.5m + 89.75 represents the cost of joining the gym in addition to the one-time membership fee.

The cost, G, is measured in dollars for m months.

We need to find the value of G(6).​

Here,

The one-time membership = 89.75.

Now,

Putting m = 6 months in:

G(m) = 49.5m + 89.75

G(6) = 49.5 x 6 + 89.75

       = 297 + 89.75

       = 386.75

Thus the cost of joining the gym for 6 months is G(6) = 386.75.

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Answer:

ask in English then I can help u

(a) The probability mass function of X will be P(X=n) = 5/(6n)

(b) E[X] =1.2

(c) Probability [ Alice win] will be =0.5

(d) The value of expected winnings will be 4.25

(a) Let 'p' represent the probability of getting the same number on both the dices on a roll of pair of die

And (1-p) = probability of not getting the same number on both the dices on a roll of pair of die

Sample space for the same number appearing on both the dices on a roll of pair of die = {(1,1), (2,2), (3,3), (4,4), (5,5), (6,6)}

As there are a total of 36 outcomes on a roll of pair of dice,

p = 6/36 = 1/6

Let the events be defined as:

Dn : Both Alice and Bob roll the same number on the nth roll

Wn : The game is finished in the nth roll (i.e. Alice and Bob roll different numbers (as the numbers are different, one will be larger))

Then,P(W) = P(W) , n = 1,2,3,4....infinity

Wn takes place when event D takes place in the first (n-1) rolls and Event W takes place in the nth roll

\($\mathrm{P}(\mathrm{W})=\sum P\left(W_n\right), \mathrm{n}=1,2,3,4 \ldots .$\). infinity

And, W_n takes place when

Event D takes place in the first (n-1) rolls and event W takes place in the \($n^{\text {th }}$\) roll

\(P\left(W_n\right)=P\left(D_1\right)^* P\left(D_2\right)^* P\left(D_3\right) \ldots . .{ }^* P\left(D_{n-1}\right) P\left(W_n\right)P\left(D_n\right)\\=(p)P\left(W_n\right)\\=(1-p)\)

Implies

\($$\begin{aligned}& \left.P\left(W_n\right)=(p)^{n-1}\right)^*(1-p) \\& =\left((1 / 6)^{n-1}\right)^*(1-(1 / 6)) \\& =\left((1 / 6)^{n-1}\right)^*(5 / 6) \\& =5 /\left(6^n\right)\end{aligned}$$\)

(b)

\($$\begin{aligned}& \mathrm{E}[\mathrm{X}]=\sum n * P(X=n), \mathrm{n}=1,2,3,4 \ldots . . \text { infinity } \\& =\sum n * \frac{5}{6^n} \\& =5 * \sum n * \frac{1}{6^n}\end{aligned}$$\)

If \($\mathrm{S}=\sum n * \frac{1}{6^n}$\)

Then S is a sum of infinite aritho-geometric series of the form

\($$\sum_{k=1}^{\mathrm{inf}} k * r^k \text {, }$$\)

The sum of which is given as \($S=\frac{r}{(1-r)^2}$\) for 0 < r < 1

Here, r=(1 / 6)

\(\Rightarrow & S=\frac{\frac{1}{6}}{\left(\frac{5}{6}\right)^2} \\& =\frac{6}{25}\)

E[X] = (5) x (6/25) = (6/5)= 1.2

(c) Since the dies are fair, and the outcomes are independent, the probability of each player winning is equal

Therefore,

P(Alice WIn) = P(Bob WIn) = 0.5

(d) If X represent the round in which the game ends, then the probability of us winning in that round

P(W|X=n) = 0.5*P(X=n)

= (0.5)*(5/(6n))

P(W|X=1) = (0.5)*(5/(61)) = (5/12)

P(W|X=2,3,4...) = 0.5 - P(W|X=1) = (1/2) - (5/12) = (1/12)

Leth the variable W represent the winnings

(W|X=1) = 10

(W|X=2,3,4...) = 1

E[W] = P(W|X=1)*(W|X=1) + P(W|X=2,3,4...)*(W|X=2,3,4...)

= (10 x (5/12)) + (1 x (1/12))

= (50/12) + (1/12)= (51/12)= 4.25

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Answer:

h(x)=x²+6 and g(x)=8x-5

prove that hg(x)=19

Step-by-step explanation:

step 1: hog(x)=h[g(x)]

step 2: h(8x-5)

step 3: h(8x-5)= (8x-5)²+6

step 4: (8x-5)(8x-5)+6

step 5: 16x² +15x +6

The volume of the 4-dimensional pyramid with angles 75°, 150°, 120°, and 60° is 4,500,000°³.

The volume of a 4-dimensional pyramid is given by the formula V = (1/12) * a * b * c * d, where a, b, c, and d are the lengths of the four edges. In this case, a = 75°, b = 150°, c = 120°, and d = 60°. Therefore, the volume of the 4-dimensional pyramid is (1/12) * 75° * 150° * 120° * 60° = 4,500,000°³.

To calculate this volume, first convert the angles from degrees to radians. This is done by multiplying each angle by (π/180). Therefore, a = 75° * (π/180) = (3π/4), b = 150° * (π/180) = (5π/4), c = 120° * (π/180) = (2π), and d = 60° * (π/180) = π/2.

Next, substitute these angles into the formula and multiply them together. (1/12) * (3π/4) * (5π/4) * (2π) * (π/2) = 4,500,000°³. This is the volume of the 4-dimensional pyramid with angles 75°, 150°, 120°, and 60°.

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Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.

Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.

For example, d + d = 2d

This is an example of an algebraic expressionns.

Given the algebraic expressions,

\(\frac{1}{2}x + 4 \\ x + 6 - \frac{1}{2}x - 2\)

Substituting 2 for x in the first expression gives:

(1/2 × 2) + 4

1 + 4

5

Substituting 2 for x in the second expression gives:

2 + 6 - (1/2 ×2) - 2

8 - 1 - 2

8 - 3

5

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

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Answer: 2/3-6=9 is equal to = − 2(2x+6)

Answer:

x = 45 over 2  or  22.5

Step-by-step explanation:

Answer:

x=16

Step-by-step explanation:

Equations which are never true:

4.1      Solve :    -2   =  0

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

4.2      Solve  :    x+16 = 0

Subtract  16  from both sides of the equation :

                     x = -16

One solution was found :

x = -16

Step-by-step explanation:

First distribute: -2x - 28 + 1 = 5

Now simplify: -2x - 27 = 5

Now addition property of equality: -2x = 5 + 27

Now simplify: -2x = 32

Now division property of equality: x = 32/-2

Simplify: x = -16

If you need it as a fraction then you can put - \(\frac{16}{1} \\\)

Hope this helps!

Answer:

a volleyball is $16.5

Step-by-step explanation:

6b+2v= 114

v=b-3

6b+2(b-3)= 114

6b + 2b - 6

8b - 6 = 114

8b = 108

b= 13.5

substitute b in

6(13.5) + 2v = 114

81 + 2v = 114

2v = 33

v= 16.5

the square root of 598 is 24.4540385