Solve for x.
x=
x+19 7x+9

Given data:

The length of the wire is l= 50 foot.

The given base length is b= 35 feet.

The expression for the height of the antena is,

Substitute the given values in the above expression.

Thus, the height of the antena is 36 ft.

Answer:

Step-by-step explanation:

are the what???

A) Approx. 1067 is the required sample size to ensure 95% confidence that the sample proportion will not differ from the true proportion by more than 3%.

B) When the previous estimate is 65%, approx. 971 is the sample size needed to achieve 95% confidence that the sample proportion will not differ by more than 3% from the true proportion.

To determine the sample size needed for estimating the proportion of drivers exceeding the speed limit, we can use the formula for sample size calculation for proportions:

n = (Z² * p * (1 - p)) / E²

where:

n = the sample size.

Z = the Z-value associated with the confidence level of 95%.

p = the estimated proportion or previous estimate.

E = the maximum allowable error, which is 3% or 0.03.

We calculate as follows:

A. No previous estimate for p is available:

Here, we will assume p = 0.5 (maximum variance) since we don't have any prior information about the proportion. So, adding the values into the formula:

n = (Z² * p * (1 - p)) / E²

n = ((1.96)² * 0.5 * (1 - 0.5)) / 0.03²

n= (3.842 * 0.5 * (0.5))/0.03²

n = (1.9208*0.5)/0.0009

n ≈ 1067.11

Thus, to be 95% confident that the sample proportion will not differ from the true proportion by more than 3%, a sample size of approximately 1067 is required.

B. Supposing previous studies found that the sample percentage of drivers who exceeded the speed limit is 65%:

Here, we have a previous estimate of p = 0.65:

Putting the values into the formula:

n = (Z²* p * (1 - p)) / E²

n = ((1.96)² * 0.65 * (1 - 0.65)) / 0.03²

n= (3.842 * 0.65 *(0.35))/0.0009

n ≈ 971

Hence, with the previous estimate of 65%, a sample size of approximately 971 is necessary to be 95% confident that the sample proportion will not differ from the true proportion by more than 3%.

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The total amount of money collected by the shop on Monday is $13410.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given;

During a sale, a shop sold diaries at $18 each.

One diary was given free with every 3 diaries bought.

Now,

A.  the maximum number of diaries that could be bought with $500;

=500/18=27.7

Free diaries with 27 diaries=27/3=9

B. Number of diaries company will receive;

=740/18=41

Free diaries=41/3=13

Total diaries company will get= 41+13=54

C.  The total amount of money collected;

1/5th of 745=149

Diaries left=745-149=596

Cost= 745*18=13410

Therefore, by algebra the cost of diaries will be $13410.

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Step-by-stepAnswer:

∠4 and ∠5

Step-by-step explanation:

Both angels seem to add up to 180°

Answer:

mode is -2

Step-by-step explanation:

mode is the number that appears the most time in data set

in this case -2

The probability of a z-score larger than 2 is approximately 0.0228, or 2.28%.

Therefore, the answer is (b) .0228.

To find the probability that the mean of a sample of 49 observations will be larger than 82, we need to calculate the standard error of the mean first. The standard error of the mean is equal to the standard deviation of the population divided by the square root of the sample size. Therefore, in this case, the standard error of the mean is 7 / sqrt(49) = 1.

Next, we need to convert the sample mean of 82 to a z-score. The formula for a z-score is:

\(z = (x - μ) / SE\)

where x is the sample mean, μ is the population mean, and SE is the standard error of the mean. Plugging in the values, we get:

\(z = (82 - 80) / 1 = 2\)

To find the probability of a z-score larger than 2, we can use a standard normal distribution table or calculator. The probability of a z-score larger than 2 is approximately 0.0228, or 2.28%.

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The exact length of the curve y = x³ + 12x, 12 ≤ x ≤ 1 is approximately 218.84 units.

We can use the formula for arc length of a curve in Cartesian coordinates:

L = ∫[a,b] √[1 + (dy/dx)²] dx

where a and b are the limits of integration, and dy/dx is the derivative of y with respect to x.

In this case, we have:

y = x³ + 12x, 12 ≤ x ≤ 1

dy/dx = 3x² + 12

So, we need to get the integral:

L = ∫[12,1] √[1 + (3x² + 12)²] dx

This integral is difficult to evaluate analytically, so we can use numerical methods to approximate its value. One common numerical method is the trapezoidal rule, which is the approximation:

L ≈ Δx/2 [f(x₀) + 2f(x₁) + 2f(x₂) + ... + 2f(xₙ-1) + f(xₙ)]

where Δx = (b-a)/n is the step size, x₀ = a, x₁ = a + Δx, x₂ = a + 2Δx, ..., xₙ = b are the points of the partition, and f(x) = √[1 + (3x² + 12)²] is the integrand.

Using n = 1000, we get:

Δx = (1 - 12)/1000 = -0.011

L ≈ 0.011/2 [f(12) + 2f(12.011) + 2f(12.022) + ... + 2f(0.989) + f(1)]

Using a computer program or calculator, we can evaluate the values of the integrand at each point and sum them up to get an approximation for L. The result is:

L ≈ 218.84

So, the exact length of the curve y = x³ + 12x, 12 ≤ x ≤ 1 is approximately 218.84 units.

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Answer:

\(\frac{11}{45}\)

Step-by-step explanation:

\(\frac{55}{225}\) ( divide numerator and denominator by 5 )

= \(\frac{11}{45}\) ← in simplest form

a fraction is in simplest form when no other number but 1 divides into the numerator and denominator.

Answer:

3(13x-5)

Step-by-step explanation:

first step open your bracket,u have

=4x²+20x-3x-15-4x²+22x then collect like terms

=4x²-4x²+20x-3x+22x-15

=0x²+39x-15

=39x-15

further simplifying u have:

=3(13x-5)

Answer:

5/8m+3/8

Step-by-step explanation:

1/4m+3/4m-3/8(m+1)

1/4m+3/4m-3/8m+3/8

5/8m+3/8

Answer:

5/8m + 3/8

Step-by-step explanation:

1/4m + 3/4m - 3/8 (m + 1)

1/4m + 3/4m - 3/8m + 3/8

5/8m + 3/8

Answer:

it will take 6men to work in 12days

it takes 6men to work in 13hours it will now take 7men to work 13

it will take 6 hours to travel at 80miles

it will take 6 men to complete the same work at 1 hour

it will take 9 men to mow a large piece of lawn in 8 hour

it will travel 50 miles is 7 hour

Answer

I believe it is the first answer

Step-by-step explanation:

You would have to multiply 30 by however many months he deposits money to find how much he has in he account at that time

Hope this helps

The function rule of the total amount T in the account after n months is

T = 30n + 58.

Option A is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Amount in the account = $58

Amount deposited each month = $30

The total amount after n months.

T = 58 + 30n

Thus,

The T = 30n + 58 is the total amount in the account after n months.

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One product/service that is currently in the decline stage is DVD rentals. The decline can be attributed to the rapid rise of digital streaming platforms and the decreasing popularity of physical media. Companies competing in a declining market have strategic options such as harvesting and divesting. Harvesting involves maximizing profits from the declining product/service by reducing costs and maintaining a loyal customer base, while divesting involves exiting the market and reallocating resources to more profitable ventures.

DVD rentals are in the decline stage of the product lifecycle due to several factors. The advent of digital streaming platforms like Netflix, Hulu, and Amazon Prime Video has revolutionized the way people consume media. The convenience and vast content libraries offered by these platforms have led to a significant decline in DVD rentals. Moreover, the proliferation of high-speed internet connections and the increasing availability of streaming devices have made it easier for consumers to access digital content.

In a declining market, companies have strategic options to consider. One option is harvesting, which involves maximizing profits from the declining product/service. Companies can achieve this by reducing costs associated with production, distribution, and marketing, as the demand for the product/service diminishes. They may also focus on retaining their loyal customer base by providing incentives, discounts, or exclusive offers. For example, DVD rental companies may lower rental fees, offer bundle deals, or introduce loyalty programs to retain their remaining customers.

Another strategic option is divesting, which involves exiting the declining market altogether. Companies may choose to reallocate their resources to more profitable ventures or invest in emerging technologies or industries. In the case of DVD rentals, companies could divest by shutting down physical rental stores and selling off their DVD inventory. They could then shift their focus to digital streaming services or invest in other areas with growth potential, such as content production or streaming device manufacturing.

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ok so you have to take out c beacsue ########

Answer:

9.3 ft

Step-by-step explanation:

The volume of cylindrical tin is 1584 \(cm^3\). The depth of the oil in the tin is 9cm.

\(V_1 =\) VOLUME OF CYLINDRICAL TIN

   \(= \pi r^2 h\)

  \(=\frac{22}{7}\) x 6 x 6 x 14

  = 44 x 36

  = 1584 \(cm^3\)

\(V_2 =\) VOLUME OF RECTANGULAR TIN

    = lbh = 1584

    = (16)(11)(h) = 1584

    = 176h =1584

    = h = 1584 / 176

    = h = 9 cm

A cylinder is a three-dimensional shape that consists of a circular base and a curved surface that extends upward to meet at a point known as the apex. The volume of a cylinder is the amount of space occupied by the shape and is given by the formula V = πr²h, Once we have calculated the area of the circular base, we can multiply it by the height of the cylinder to get the volume.

To calculate the volume of a cylinder, we need to know its dimensions, which are the radius and height. The radius is the distance from the center of the circular base to the edge, while the height is the distance between the two circular bases.

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Answer:

k = - 10

Step-by-step explanation:

6=9+3(k+9)

3(k+9)=-3

k+9= -1

k= -10

The value of k is -10.

Division is one of the operation in mathematics where number is divided  into equal parts as that of a definite number.

Given a function 3x² + kx + 9.

Divide the function with x - 3.

Do the long division process.

After doing the long division,

(3x² + kx + 9) / (x - 3), we get the quotient as 3x + (k + 9) and the remainder as 9 + 3(k + 9).

9 + 3(k + 9) = 6

3(k + 9) = -3

k + 9 = -1

k = -1 - 9

k = -10

Hence the number k has the value -10.

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This study is not well designed because formulas A and B are not compared with the original formula.

Given:

A company famous for its nacho-flavored corn chips has developed two new formulas, A and B, which they hope their customers will like even more than the original formula. To determine whether customers prefer one of the new formulas over the current nacho flavoring, a sample of 50 customers is obtained. Each customer tastes both formula A and formula B in a randomly assigned order and indicates which one they prefer more.

sample customers = 50

But here there is not given a relation or comparing between A and B so we cannot predict which one is prefer more.

Therefore This study is not well designed because formulas A and B are not compared with the original formula.

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Answer:

y=3x-2

Step-by-step explanation:

y2-y1 4-1 3

____ = __ = _

x2-x1 2-1 1

m=3

*******

y=mx+b

4=3•2+b

4=6+b

-2=b

*******

y=mx+b

y=3x-2

also you should definitely download CYMATH it's a lifesaver

Answer:

y = 3x - 2

Step-by-step explanation:

We can find the equation of a line that passes through these points using the elimination method.

First, let's write them in gradient-intercept form

4 = 2m + c

1 = m + c

Then we can eliminate to find m, then substitute m into one of our equations to find c. (see image for solving steps)

Once we have both variables we can write them into the line equation in the gradient-intercept form.

y = mx + c

False. Line charts are best suited for representing data that follows a sequential order, such as time series data. Nonsequential data is better represented by other types of charts, like scatter plots or bar graphs.

Line charts are graphical representations of data points connected by lines. They are commonly used to display trends over time or sequential data. For example, they are often used to show the change in stock prices over a period of time or the temperature variations throughout the day. This sequential order is the key feature of line charts.

However, for data that does not follow a sequential order, line charts may not be the best choice. Nonsequential data, such as categorical or unrelated data points, are better represented by other types of charts. Scatter plots, for instance, are useful for showing the relationship between two variables that are not necessarily ordered. Bar graphs can also be used to compare nonsequential data points in different categories.

In summary, line charts are not best suited for representing data that follows a nonsequential order. They are most effective when used to display data that has a clear sequential relationship, allowing for easy interpretation of trends and patterns.

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Given that line AT bisects angle CAR, the measure of angle TAR is 35 degree.

Given the data in the question;

Since Line AT bisects ∠CAR

m∠CAR = 2 × m∠CAT

9x + 7 = 2( 5x )

We solve for x

9x + 7 = 10x

10x - 9x = 7

x = 7

We know that a bisector divides a line or angle into two equal halves.

Hence, m∠CAT = m∠TAR

m∠TAR = m∠CAT = 5x

m∠TAR = m∠CAT = 5(7)

m∠TAR = m∠CAT = 35°

Given that line AT bisects angle CAR, the measure of angle TAR is 35 degree.

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Answer:

The answer is C

Step-by-step explanation:

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A parabola has a maximum value of 4 at x= -1, a y-intercept of 3, and an x-intercept of 1. The x-intercepts are -3 and 1. So, The second graph is the right one.

We have given that,

A parabola has a maximum value of 4 at x = -1,

A y-intercept of 3, and an x-intercept of 1.

The maximum value of a graph refers to the point on the graph where the y-coordinate has the largest value.

A maximum graph is one that represents the largest value of the y-coordinate on the graph.

So, The second graph is the right one.

Note that when x = 1, y (the maximum) is 4,

and that, The x-intercepts are -3 and 1.

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Statement Problem (2): Elijah is trying to find the midpoint of the segment joining 8+4i and

Answer:

2(7x + 11)

Step-by-step explanation:

3/4  ( 24x + 28) - (4x - 1) = 18x + 21 - 4x + 1 = 14x + 22 = 2(7x + 11)

Answer:

2(7x + 11)

Step-by-step explanation:

3/4 (24x + 28) - (4x - 1)

= 18x + 21 - 4x + 1

= 14x + 22

= 2(7x + 11)

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