I NEED HELP ASAP
FIND THE VAULE OF H IN THE FOLLOWING FIGURE

The cost of each chair is $6.2 and  the cost of each table is $1.34.

Let's solve this problem by assuming the cost of each chair as ‘c’ and the cost of each table as ‘t.’ We can create two equations from the information given we can obtain the values of ‘c’ and ‘t.’

From the given information, the first equation is ‘c + 4t = 53’ because the cost to rent one chair and four tables is $53. The second equation is ‘3c + 2t = 25’ because the cost to rent three chairs and two tables is $25.

We can solve this by either substitution or elimination, but the method we used earlier works - multiplying the first equation by 3 and subtracting the second equation from it, to obtain:

3c + 12t = 159

- (3c + 2t =25)

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

10t = 134

Therefore, the cost of each table is $13.4.

We can plug this value back into equation 1 and solve for c

c + 4(13.4) = 53

c + 53.6 = 53

c = -0.6

This isn't a possible solution as the cost of the chair cannot be negative.

Thus, we need to check if an error was made earlier. We can plug the value of t in the second equation:

3c + 2t = 25

3c + 2(13.4) = 25

3c + 26.8 = 25

This equation is contradictory, indicating that there is no solution. We need to revise the problem statement, a possible typo can be a misplaced decimal point for example, if the cost of each table is instead $1.34, all equations will hold, and the final answer will be:$6.2 and $1.34 respectively according to the question.

This is a possible solution and makes sense.

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Film cameras allow a limited number of shots per role. 36 images can a photographer typically shoot on a roll. Thus, option A is the correct option.

The most cost-effective per shot is the roll, which typically yields 36 exposures. The 35mm format comes in a few different forms. On a roll of 35mm film, half-frame cameras may capture twice as many images at a smaller size.

Rolls of film typically have 24 or 36 exposures. The number of pictures you may take before loading a new roll may be limited as a result. However, some photographers view this as a benefit since it forces them to be more deliberate and exact when creating their images.

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Answer:

Step-by-step explanation:

14 mins

this is because if we divide 2 but 1/2 you would get 4

since she can run 1/2 a mile in 3 1/2 mins

we should multiply the 3 1/2 buy 4

this would lead to the answer 14

Calculate the slope of the line joining the points (1,1) and (-3,-1).

Use the equation m1m2=-1 to calculate the slope of the perpendicular line.

Given that, the line passes through the point (-3,4).

Use point slope form to calculate the equation of the line.

Therefore, the equation of the line is y=-2x-2.

Answer: Write something greater than 5 at the ones place or the tenths place or having digits that are greater than 0 after the 5 in the tenths place.

Step-by-step explanation:

Answer:

The same as you write 0.3 for example 0.8 or 1.8 or 2.8 etc...

The probability of a negative return if the returns are normally distributed, we can use the mean and standard deviation of the returns and If the distribution is symmetrical but otherwise unknown, it may be more difficult to estimate the probability of a negative return without more information about the shape of the distribution.

To determine how confident we can be that the mean of the given data sample is greater than 40, we would need to perform a statistical test such as a t-test or a z-test to compare the sample mean to the value of 40.

We would need to know the sample size, standard deviation, and any other relevant information about the data to calculate the appropriate test statistic and determine the p-value, which would tell us the probability of observing a sample mean as extreme as the one we obtained if the true population mean was actually 40.

To determine how confident we should be that the portfolio manager will continue to produce positive returns, we would need to analyze the distribution of returns and determine whether it is skewed or symmetrical and whether it follows a normal distribution or a different distribution. If the distribution is skewed or non-normal, it may be more difficult to estimate the probability of positive returns. However, if the distribution is symmetrical and follows a normal distribution, we can use the mean and standard deviation of the returns to calculate the probability of a positive return using the normal distribution.

If the returns of the investment strategy are normally distributed, we can use the mean and standard deviation of the returns to calculate the probability of a negative return using the normal distribution. If the distribution is symmetrical but otherwise unknown, it may be more difficult to estimate the probability of a negative return without more information about the shape of the distribution.

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The question is -

Given the following data sample, how confident can we be that the mean is greater than 40? 64 70 20 58 13 74 84 47 17 2. You are given the following sample of annual returns for the portfolio manager: If you believe that the distribution of returns has been stable over time and will continue to be stable over time; how confident should you be that the portfolio manager will continue to produce positive returns? -7% 7% 19% 23 % -18 % -12% 49% 34% ~6% -20% 3. You are presented with an investment strategy with a mean return of 20% and a standard deviation of 10%_ What is the probability of a negative return if the returns are normally distributed? What if the distribution is symmetrical but otherwise unknown?'

Using the inverse of the function from the table, the value of f⁻¹(4) is 107/3

The inverse of a function is a new function that "undoes" the original function. It reverses the mapping of inputs and outputs, allowing you to find the original input value when you know the output value.

In this problem, we have to use the table to find the original function which is f(x) and use it to find the inverse of the function;

Taking two points from the table;

m = y₂ - y₁ / x₂ - x₁

m = 0 - (-3) / -9 - (-11)

m = 3 / 20

Using the slope and one point on the table;

y = mx + x

-3 = 3/20(-11) + c

-3 = -1.65 + c

c = -3 + 1.65

c = -1.35

Putting the slope and y - intercept together;

y = 3/20x - 1.35

y = 3/20x - 27/20

f(x) = 3/20x - 27/20

Taking the inverse of the function;

f⁻¹(x) = (20x + 27)/3

To find the value of f⁻¹(4), we just need to substituting the value of x in the function;

f⁻¹(4) = (20(4) + 27)/3

f⁻¹(4) = 107/3

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Answer:

  8. Louis

  9. Rose; Raymond

Step-by-step explanation:

8. An exponent represents the number of times the base appears as a factor in the product.

We use a coefficient to signify repeated addition: 3x means x+x+x.

We use an exponent to signify repeated multiplication. x³ means x·x·x.

So, the expression ...

  \(4^2\cdot 4^5\text{ means }(4\cdot4)\cdot(4\cdot4\cdot4\cdot4\cdot4)\)

You can see that the factor 4 appears 7 times in the product, so would be represented in exponential form as ...

  \(4^2\cdot4^5=\boxed{4^7}\)

Louis has correctly observed this fact. In general, we see that multiplying powers of the same base causes those powers to be added.

__

9.

Part A. Rose is correct for the same reason as in problem 8.

  5^5 · 5^2 = 5^(5+2) = 5^7

Part B. Raymond is correct. We know that division cancels similar terms from the numerator, so ...

  \(\dfrac{7^9}{7^5}=\dfrac{7\cdot7\cdot7\cdot7\cdot7\cdot7\cdot7\cdot7\cdot7}{7\cdot7\cdot7\cdot7\cdot7}=7\cdot7\cdot7\cdot7=7^{9-5}=7^4\)

__

The rules of exponents we're using here are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)/(a^c) = a^(b-c)

Answer:

$1.63

Step-by-step explanation:

Divide 4.89 by 3

Answer: $1.63

Simple

Hope it helps ♥️♥️

Answer:

Step-by-step explanation:

It's given that a║b and m∠6 = 128°

Since, ∠1 and ∠3 are the consecutive interior angles,

m∠6 + m∠1 = 180°

128° + m∠1 = 180°

m∠1 = 180° - 128°

= 52°

Since, ∠6 and ∠3 are the corresponding angles,

Therefore, ∠6 ≅ ∠3

m∠3=52°

Answer:

B. P′ (−4, 0)

Step-by-step explanation:

You can look at the graph. The X-axis always goes first. SO -4 is first because it's on the x-axis. ANSWER= (-4, 0)

Using the Chain Rule, we have: dy/dx = f'(g(x)) * g'(x) = 1 * 1 = 1.The derivative of y with respect to x is 1.

When we compose a function, it may be possible to write it in a variety of different ways. Differentiating such functions can result in different derivatives, but the Chain Rule indicates that the derivatives of the compositions should be the same regardless of how the function is written, if the function is continuous and differentiable.For instance, consider the function f(x) = sin(x²). It can be written as f(g(x)) where g(x) = x² and f(x) = sin(x). Furthermore, it can be written as f(h(x)) where h(x) = x² and f(x) = sin(x). These are both compositions of functions, but they are different compositions that lead to different derivatives.However, if the function is a composite of differentiable functions, the Chain Rule tells us that the derivative of a composite function is the derivative of the outer function multiplied by the derivative of the inner function.

To find dy/dx if y = x using the Chain Rule with y as a composite of the following functions, we must first rewrite y as a composite function: y = f(g(x)) where g(x) = x and f(x) = x. This composite function can be written in a variety of different ways, such as y = f(h(x)) where h(x) = x and f(x) = x, or y = f(k(x)) where k(x) = x and f(x) = x. However, regardless of how we write it, the Chain Rule tells us that the derivative of y is equal to the derivative of the outer function (f(x) = x) multiplied by the derivative of the inner function (g(x) = x).

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The lengths of the three sides of the triangle are 10, 25 and 25 feet

The perimeter of a shape is the sum of the side lengths of the shape

For all regular quadrilaterals, you add up the side lengths to determine the perimeter

The given parameters about the triangles are given as

Perimeter = 60 feet

Middle length = 5 feet greater than twice the smallest side

Longest side= 5 feet less than 3 times the smallest side.

Represent the lengths with x, y and z

So, we have

y = 5 + 2x

z = 3x - 5

The perimeter is the sum of the side lengths

So, we have

P = x + y + z

This gives

P = x + 5 + 2x + 3x - 5

Evaluate the like terms

P = 6x

Recall that

Perimeter = 60 feet

So, we have

6x = 60

Divide by 6

x = 10

Recall that

y = 5 + 2x

z = 3x - 5

So, we have

y = 5 + 2 x 10 = 25

z = 3 x 10 - 5 = 25

Hence, the lengths of the three sides of the triangle are 10, 25 and 25 feet

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The coordinates of the reflected point P' will be (4, -3).

When a point is reflected over the x-axis, its y-coordinate changes sign.

In this case, the point P has coordinates (4,3).

To reflect it over the line x=3, we need to keep its x-coordinate the same and change its y-coordinate to its opposite.

So, the x-coordinate of the reflected point will still be 4, but the y-coordinate will become -3.

Therefore, the coordinates of the reflected point P will be (4, -3).

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Answer:

Step-by-step explanation:

Let a be the first term in the sequence, and d the common difference between consecutive terms. If aₙ denotes the n-th term in the sequence, then

a₁ = a

a₂ = a₁ + d = a + d

a₃ = a₂ + d = a + 2d

a₄ = a₃ + d = a + 3d

and so on, up to the n-th term

aₙ = a + (n - 1) d

The sum of the first 10 terms is 100, and so

\(\displaystyle \sum_{n=1}^{10} a_n = 100 \\ \sum_{n=1}^{10} (a + (n-1)d) = 100 \\ (a-d) \sum_{n=1}^{10} 1 + d \sum_{n=1}^{10} n = 100 \\ 10a+45d = 100\)

where we use the well-known sum formulas,

\(\displaystyle \sum_{n=1}^N 1 = 1 + 1 + 1 + \cdots + 1 = N\)

\(\displaystyle \sum_{n=1}^N n = 1 + 2 + 3 + \cdots + N = \frac{N(N+1)}2\)

The sum of the next 10 terms is 300, so

\(\displaystyle \sum_{n=11}^{20} a_n = 300 \\ (a-d) \sum_{n=11}^{20} 1 + d \sum_{n=11}^{20} n = 300 \\ (a-d) \left(\sum_{n=1}^{20} 1 - \sum_{n=1}^{10} 1\right) 1 + d \left(\sum_{n=1}^{20} n - \sum_{n=1}^{10} n\right) = 300 \\ 10a+145d = 300\)

Solve for a and d. Eliminating a gives

(10a + 145d) - (10a + 45d) = 300 - 100

100d = 200

d = 2

and solving for a gives

10a + 145×2 = 300

10a = 10

a = 1

So, the given sequence is simply the sequence of positive odd integers,

{1, 3, 5, 7, 9, …}

given recursively by the relation

\(\begin{cases}a_1 = 1 \\ a_n = a_{n-1} + 2 & \text{for }n>1\end{cases}\)

and explicitly by

\(a_n = 1 + 2(n-1) = 2n - 1\)

for n ≥ 1.

Answer:

no it gate 19/15 or 1 4/15

Step-by-step explanation:

The two values of y such that the barn is 50 yards from the well

The length of line in an ordered pair is calculated using the formula

d = √{(x₂ - x₁)² + (y₂ - y₁)²}

where

d = distance between the points

x₂ and x₁ = points in x coordinates

y₂ and y₁ = points in y coordinates

distance between points  (-1, 1) and (-1,, y) is calculated to be 50 yards and hence we solve for y

d = √{(x₂ - x₁)² + (y₂ - y₁)²}

50 =√{(-1 - -1)² + (1 - y)²}

50 =√{ (1 - y)²}

2500 = (1 - y) (1 - y)

2500 = 1 - 2y + y²

y² - 2y - 2499 = 0

solving the quadratic equation gives

y = 51 OR -49

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Answer:st week he worked h hours at the concession stand and three times as many hours at the ticket ... How much did he make before the raise? ... Alice earns 1.5 times her hourly rate for each hour she works after 40 hours in a week. ... Dominic earns $18 an hour plus $25 an hour for every hour of overtime.

Step-by-step explanation:

The range of the data in store 2 is greater than the range of the data in store 1. Option G

Store 2 mode = 1

Store 1 mode = 2

Store 1 range = 5 - 1 = 4

Store 2 range = 6 - 1 = 5

Store 1 mean = 2+3+5+3+1+4+2/7

= 20/7 = 2.86

Store 2 mean = 4+6+4+2+1+2+1 / 7

= 20/7

= 2.86

Store 2 median= 1, 1, 2, 2, 4, 4, 6

= 2

Store 1 median = 1, 2, 2, 3, 3, 4, 5

= 3

Therefore, the information supported by the dot plots is the range.

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Answer:

The service tax paid was:

0.06 * RM180 = RM10.80

Step-by-step explanation:

To calculate the service tax paid by Mr. Lim, we need to first find the amount of the bill before the service tax was added.

Let's call the original bill amount "x".

After the 6% service tax was added, the total bill became x + (0.06 * x) = RM190.80.

So we can set up the equation:

x + (0.06 * x) = RM190.80

Expanding the right side of the equation:

x + (0.06 * x) = 190.80

Combining like terms:

1.06x = 190.80

Solving for x:

x = 180

So the original bill amount before the service tax was added was RM180.

The service tax paid was:

0.06 * RM180 = RM10.80

For expression to be polynomial all the exponent must be non negative.

For first option,

It is not a polynomial expression.

For second option

No negative exponent, so it is polynomial equation.

For third option,

No negative exponent, so it is polynomial equation.

For fourth option,

It is not a polynomial expression.

So option B and C is correct option.

The solution to the system of equations is x = -3 and y = -4.

To solve the system of equations:

Equation 1: 2x - y = -10

Equation 2: 3x + 2y = -1

We can use the method of substitution or elimination to find the values of x and y.

Let's use the method of elimination:

Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:

2(2x - y) = 2(-10)

4x - 2y = -20

Now, we can eliminate y by adding Equation 2 and the modified Equation 1:

(3x + 2y) + (4x - 2y) = -1 + (-20)

7x = -21

x = -3

Substitute the value of x into Equation 1 to solve for y:

2(-3) - y = -10

-6 - y = -10

y = -10 + 6

y = -4

Therefore, the solution to the system of equations is x = -3 and y = -4.

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The rule of dilation is a dilation by a scale factor of 2

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

The scale factor is calculated as

Scale factor  = A'/A

Substitute the known values in the above equation, so, we have the following representation

Scale factor  = (2, 2)/(1, 1)

Evaluate

Scale factor  = 2

Hence, the rule of dilation is (2x, 2y)

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Answer:

25% of 53 is 13.25 so the new bottle should hold 66.25 ounces or 13.25 mor than the regular bottle

Step-by-step explanation:

Answer:

Step-by-step explanation:

-39+x+146=180

x+107=180

x=180-107=73

x=73°

Answer:<B=96

<8+<D=180

<8+84=180

<8=180-84

<8=96

Step-by-step explanation:

hope it helps have a  nice day!!

hellooo

Step-by-step explanation:

so sine is 0 and (-1/3 isnt gonna positive out on the other side no is positive so ur last answer E is it