A scaffold tower is 4.8 m high. It can be increased by adding 70 cm sections. How many sections must be added to make the tower 9.7 m high?

D.(x + 8)2 + (y - 5)2 = 16

Circle's component parts. A circle is a collection of points in a plane that are all spaced equally apart from the center. The radius of a circle is the distance a point on the circle is from its center.

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Answer:

Your answer, many solutions is correct!

Step-by-step explanation:

The answer one solution is incorrect because there is more than one solution to this equation.

The answer no solution is incorrect because there is a solution to this equation so clearly, this one is incorrect.

The answer many solutions is correct because there are two solutions to this equation, \(y=-3,\:x=\frac{9}{2}\).

hope this helps!!!

(Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.)

Answer:

yeah correct

Step-by-step explanation:

Let,

The expression to calculate the distance between two points is,

Thus, the length of the line RS is 8.5 units, and the correct option is option C.

Answer:

B. The graph curves away from its sum

Step-by-step explanation:

A convergent infinite geometric series, the graph of the series curves away from the sum, the correct option is B.

A sequence of numbers such that the consecutive term is increasing or decreasing by a fixed ratio is called a geometric series.

The standard equation for geometric series is

Tₙ = a₁ rⁿ⁻¹

The sum of an infinite geometric series is given by

S = a₁/(1-r)

where a₁ is the first term and r is the common ratio.

The graph of an infinite series curves away from its sum.

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The value of segment of the triangle v is x = 2, and the value of u = 2√2.

A right triangle is a triangle with one right angle, while an isosceles triangle is a sort of triangle with two equal-length sides (90 degrees). An isosceles right triangle is one that has a right angle and two congruent sides. An isosceles triangle has two equal-sized angles on either side of its congruent sides. An isosceles right triangle has one angle that is 90 degrees and two congruent angles.

The given triangle is a special triangle with the angle 45-45-90, thus the side lengths are in ratio x : x: x√2.

The value corresponding to angle 45 is 2.

Thus, the value of side v is x = 2, and the value of u = 2√2.

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The correct result is 3x^2 - 6 - x^3.

A polynomial is an expression that contains values that is raised to a given power. The rules of algebra are applied when we are dealing with polynomials of any degree. There are several kinds of polynomials depending on the order to which the term is raised in the expression.

An expression is cubic when the terms are raised to power 2 and the expression is quadratic when the terms are raised to power 2 and so on.

In this case, we have the expressions; x^3 - 2x^2 and x^2 -6. We are expected to subtract x^3 - 2x^2 from x^2 -6.

The mistake of Danielle was that  x^2 -6 was subtracted from x^3 - 2x^2 rather than  x^3 - 2x^2 from x^2 -6.

The correct work is;

x^2 - 6 -  (x^3 - 2x^2)

x^2 - 6 - x^3 + 2x^2

3x^2 - 6 - x^3

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The answer to the question is - The Sign test which can be used in place of the paired or dependent samples t test when a nonparametric test is needed.

The sign test is a statistical test for identifying the median distinction between two dependent or paired samples. When the data is ordinal, and non-parametric tests are used to analyse them, this is known as a non-parametric test. The Wilcoxon signed-rank test and the paired t-test are examples of this. Sign test is a non-parametric test, which requires a small sample size. This test is useful for making decisions about medians when comparing two samples, and when the differences are not normally distributed. The sign test can be used in place of the paired or dependent samples t-test when a non-parametric test is required. The Sign test is a method of evaluating the median difference between two dependent or paired samples. As a non-parametric test, this test is useful when the differences between samples are not normally distributed.

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The area of the playground is  y² - 2y - 8

Area of a rectangle is expressed as:

Area of the rectangle = LW

Given

L is the length = y + 2

W is the width = y - 4

Substitute the given expression into the formula

A = (y+2)(y-4)

A = y² - 4y + 2y - 8

A =  y² - 2y - 8

Hence the area of the playground is  y² - 2y - 8

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The circumference of the circle with a radius of 18 inches is 36π inches.

To find the circumference of a circle, you can use the formula C = 2πr, where C represents the circumference and r is the radius. Given that the radius of the circle is 18 inches, we can substitute this value into the formula to calculate the circumference.

C = 2π(18)

C = 36π

This means that if you were to measure around the outer edge of the circle, it would be approximately 113.04 inches (since π is approximately 3.14159).

It's important to note that the value of π is an irrational number, meaning it cannot be expressed as a finite decimal or a fraction. Therefore, it is commonly represented by the Greek letter π.

In practical terms, when working with circles and calculations involving circumference, it is generally more accurate and precise to keep π in the formula rather than using an approximation.

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Answer:

x=34

Step-by-step explanation:

3x+1+2x+9=180

10+5x=180

5x=170

x=34

The partial derivatives of 8z = x + 5y + xy with respect to x and y, we can use the standard formula for partial differentiation.

∂z/∂x = 1 + y

∂z/∂y = 5 + x

Note that these partial derivatives assume that the variables x and y are restricted to a domain on which the function is defined. The domain of this function is all real numbers since there are no restrictions on x or y in the equation.

Also, the equation 2x = zy is not used to find the partial derivatives, but it is a separate equation that relates the variables x, y, and z.

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Answer:

y intercept

Step-by-step explanation:

Given that, the Total number of students = 18

Number of students who can play guitar and piano (Common)

= 1/3 × 18

= 6

Number of students who can play only guitar = 6

The number of students who cannot play any of the instruments = 4

Now, let us calculate the number of students who can play only the piano.

Let this be x.

Number of students who can play only the piano = Total number of students - (Number of students who can play both guitar and piano + Number of students who can play only guitar + Number of students who cannot play any of the instruments)

Therefore,

x = 18 - (6 + 6 + 4)

x = 18 - 16x

= 2

Therefore, 2 students can play only the piano.

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Answer:

A rational number is any number that can be written as a fraction, where both the numerator (the top number) and the denominator (the bottom number) are integers, and the denominator is not equal to zero.

Step-by-step explanation:

In other words, a rational number can be expressed as p/q, where p and q are both integers and q ≠ 0.

An integer is a number that is not a fraction. So basically, a whole number.

Hope this helped!

Any integer that can be expressed in the form p/q, with q≠0, is referred to as a rational number in mathematics.

What are integers?

The Latin word "Integer," which means entire or intact, is where the word "integer" initially appeared. Zero, positive numbers, and negative numbers make up the specific class of numbers known as integers.

Any number that can be expressed as a fraction and has an integer denominator that is not zero and both the numerator and the numerator are integers is considered to be rational.

To put it another way, a rational number can be written as p/q, where p and q are both integers and q≠0.

Hence, rational number is any integer that can be expressed in the form p/q, with q≠0.

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Answer:

the balance of the account after 3 year is $186

Step-by-step explanation:

step 1: identify the principal, interest rate, and time period. principal (p)=$150 interest rate (r)=8% 0.08 ( converting percentage to decimal ) time (t)=3 years

step 2: Calculate the interest earned each year. interest=150*0.08*3

step 3: Calculate the interest earned. interest=150*0.08*3=$36

step 4: Calculate the final balance. final balance= principal+ interest

step5 find final balance. final balance=$186

The Reorder Point (ROP) that would provide a stockout risk of 10 percent during lead time is approximately 106 units.

The Reorder Point (ROP) is the inventory level at which a new order should be placed to replenish stock before it runs out. It is determined by considering the lead time and the desired service level, which represents the desired risk of stockouts during that lead time.

In this case, the demand during lead time is normally distributed with a mean of 100 units and a standard deviation of 2 units. The lead time is also normally distributed with a mean of five days and a standard deviation of 2 days.

To calculate the ROP, we need to determine the safety stock, which is the additional inventory held to mitigate the risk of stockouts during lead time. The safety stock is determined based on the desired service level.

Since the stockout risk during lead time is given as 10 percent, the desired service level is 90 percent (100% - 10%). We can find the corresponding z-score for a 90 percent service level using a standard normal distribution table, which is approximately 1.28.

The formula to calculate the safety stock is: Safety stock = z-score * (standard deviation of demand during lead time)

In this case, the safety stock = 1.28 * 2 = 2.56 units.

Finally, the ROP is calculated as: ROP = Mean demand during lead time + Safety stock = 100 + 2.56 = 102.56 units.

Therefore, to achieve a stockout risk of 10 percent during lead time, the ROP would be approximately 102.56 units.

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The total variable cost per unit is $5.40. The total fixed costs are $1,800.

Jennifer intends to create T-shirts for basketball lovers in the hypothetical situation. Various cost components and sales data are sent to us.

Direct material, direct labour, variable overhead, and variable selling commission make up the total variable cost per unit, which comes to $5.40 for each T-shirt.

Included in the $1,800 total fixed costs are fixed selling and administrative expenditures as well as fixed factory overhead.

The selling price is deducted from the unit's $22 total variable cost to determine the contribution margin.

The contribution margin ratio is the contribution margin per unit, stated as a percentage, divided by the selling price. It is estimated to be 55%.

The point at which total revenue and total costs are equal is known as the break-even point for T-shirts. It is 82 T-shirts in this instance.

The entire variable cost per unit divided by the selling price, stated as a percentage, is the variable cost ratio. It is estimated to be 45%.

The amount of money required to pay all expenses and arrive at break-even is known as the break-even in sales dollars. It totals $3,273.

Thus, the business must sell 8,837 T-shirts in order to reach its target income of $3,060.

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Answer:

d = 13

Step-by-step explanation:

First, the distance formula is needed:

\(d = \sqrt{(x_{2} - x_{1} )^{2} +(y_{2} - y_{1 })^{2} }\)

Next we assign the points

(2,-4) is point 1, (7,8) is point 2

\(d = \sqrt{(7 - 2 )^{2} +(8 - (-4))^{2} } \\d = \sqrt{5^{2} +12^{2} } \\d = \sqrt{25 + 144}\\ d = \sqrt{169} \\d = 13\)

Given two points (2,-4) and (7,8)

To find - The distance between given points.

We know the formula that is used to find the distance is given as

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

We let P = (2,-4)

and Q = (7,8)

\(x_1=2, y_1=-4\\x_2=7,y_2=8\)

on substituting we get

\(d=\sqrt{(7-2)^2+(8+4)^2}\\ d=\sqrt{(5)^2+(12)^2} \\d=\sqrt{25+144} \\d=\sqrt{169}\\ d=13\)

Hence we get the distance between (2,-4) and (7,8) is 13.

Final answer - The distance is 13.

Answer:

3.1 degrees celcius

Step-by-step explanation:

5.6C-2.5C=3.1C

Answer:

Step-by-step explanation:

The Star Wars book has 50 pages.

Pages refers to the number of sheets of paper in the book on which the text is printed.

Let "x" be the total number of pages in the Star Wars book.

According to the problem, you read 30 pages, which is 60% of the book. So we can set up the following equation:

0.6x = 30

To solve for x, we can divide both sides by 0.6:

x = 30 ÷ 0.6

x = 50

Therefore, the Star Wars book has 50 pages.

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To find the sine of the angle in standard position in which the terminal side passes through the point (-8, -15), we first need to determine the reference angle. We can do this by finding the angle formed between the terminal side and the x-axis.

Using the Pythagorean theorem, we can determine the length of the hypotenuse of the right triangle formed by the point (-8, -15) and the origin (0, 0):

h^2 = (-8)^2 + (-15)^2
h^2 = 289
h = 17

Now, we can use trigonometry to find the reference angle:

sin(theta) = opposite/hypotenuse
sin(theta) = 15/17

Since the point (-8, -15) is in the third quadrant, the sine of the angle is negative. Therefore, the sine of the angle in standard position in which the terminal side passes through the point (-8, -15) is:

sin(theta) = -15/17
To find the sine of the angle in standard position with the terminal side passing through the point (-8, -15), we first need to find the hypotenuse (r) using the Pythagorean theorem: r² = x² + y², where x = -8 and y = -15.

r² = (-8)² + (-15)² = 64 + 225 = 289
r = √289 = 17

Now, we can find the sine of the angle (θ) using the formula: sin(θ) = y/r, where y = -15 and r = 17.

sin(θ) = -15/17

Thus, the sine of the angle in standard position is -15/17.

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Answer:

$200

Step-by-step explanation:

Fine calculated per mile = $10

Fine calculated for 'm' mile = 10 * m  = 10m

Cost paid by violator = 80 + 10m

m = 12 miles

Cost paid by the violator = 80 + 10*12

                                         = 80 + 120

                                         = $ 200

According to recent polls, the political party received an average of 34% support, with a margin of error of plus or minus 3.4%, in 19 out of 20 cases. However, two subsequent polls showed 38% support and 27% support. It is important to interpret these results with caution and consider other factors that may have influenced the poll outcomes.

The recent polls indicate that the political party received an average of 34% support. This average is based on multiple polls conducted, and in 19 out of 20 cases, the margin of error was within plus or minus 3.4%. In other words, the party's actual support could range from 30.6% (34% - 3.4%) to 37.4% (34% + 3.4%).

The first subsequent poll showed 38% support for the party. Since the margin of error for the original average was plus or minus 3.4%, the support of 38% falls within the range of possible outcomes, and therefore does not necessarily indicate a significant change in support for the party.

The second subsequent poll, however, showed 27% support for the party. This falls outside the original range of possible outcomes (30.6% to 37.4%) and could suggest a decrease in support for the party compared to the original average.

Therefore, based on these subsequent polls, it is possible that there has been a decrease in support for the political party compared to the original average of 34% with a margin of error of plus or minus 3.4%. However, it is important to interpret these results with caution and consider other factors that may have influenced the poll outcomes.

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Answer:

3x + 6 = 72

Step-by-step explanation:

x + x + 2 + x + 4 = 72

Answer:

z=2

Step-by-step explanation:

This equation is being read as (z+22)/z=12 which we can solve:

(z+22)/z=12

z+22=12z

22=11z

2=z

z=2

Therefore, the unknown number is z=2

9???????????????????????????????

Answer:

I'm going to guess that you are trying to find z. If so, Z is 9.

Step-by-step explanation:

Z + 18 = 27

Subtract 18 on both sides

Z + 18 = 27

Z - 18 = - 18

Z = 9

Answer:

x = 50

Step-by-step explanation:

You are correct.

x + m<PQS + m<PSQ = 180

m<PQS = m<QRT = 70

m<QST + m<PSQ = 180

120 + m<PSQ = 180

m<PSQ = 60

x + 70 + 60 = 180

x + 130 = 180

x = 50

Great job!

Answer: 132ft

Step-by-step explanation:

9x4=36+36=72

30-9=21

21+21+9+9=60

60+72=132ft