a number is less than another number by 7. If their sum is 27,find the number give full step​

Answer:

Step-by-step explanation:

\(A=\frac{\theta}{360} \pi r^2\)

   \(=\frac{103}{360} \times\pi \times 5.75^2\)

  \(=29.718mm^2\)

Answer:

The answer is 0.04a² - 0.04ab - 0.15b²

Step-by-step explanation:

(0.2a - 0.5b) ( 0.2a + 0.3b)

0.04a² + 0.06ab - 0.1ba - 0.15b²

0.04a² + 0.06ab - 0.1ab - 0.15b²

0.04a² - 0.04ab - 0.15b²

Thus, The answer is

0.04a² - 0.04ab - 0.15b²

-TheUnknownScientist 72

Throwing a coin until it lands tails is an example of a discrete random variable which does not have a finite expectation.

For the given question,

A discrete random variable is a type of variable whose value depends upon the numerical outcomes of a certain random phenomenon. Discrete random variables are always whole numbers, which are easily countable.

It is a variable that can take on a finite number of distinct values and takes numerous values. It is also known as a stochastic variable. When you consider probabilistic experiments with infinite outcomes, it is easy to find random variables with an infinite expected value.

Let X be a random variable that is equal to 2ⁿ with probability 2⁻ⁿ (for positive integer n). Then,

\(E(X)=\sum_{n:1}^{\infty} |2^{-n}2^{n}|\)

⇒ \(E(X)=\sum_{n:1}^{\infty} (1)\)

⇒ \(E(X)=\infty\)

Consider the following example,

You throw a coin until it lands tails.

Let n be the number of heads

Then number of heads can be found by, 2ⁿ

Now, the expected value function is

\(E(X)=\frac{1}{2}(2^{0} )+ \frac{1}{4}(2^{1} )+....\)

⇒ \(E(X)=\sum_{n:1}^{\infty} |2^{-n}2^{n-1}|\)

⇒ \(E(X)=\sum_{n:1}^{\infty} \frac{1}{2}\)

⇒ \(E(X)=\infty\)

Since the number of outcomes is infinite. The probability of each outcome decreases exponentially.

Hence we can conclude that throwing a coin until it lands tails is an example of a discrete random variable which does not have a finite expectation.

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Answer:

12.5

Step-by-step explanation:

Answer:

TU = 7.5

VU = 17.5

TV = 7.5 + 17.5. = 25

hope it helps

Answer:

A Linear Pair is two adjacent angles whose non-common sides form opposite rays. ∠1 and ∠2 form a linear pair. The line through points A, B and C is a straight line.

Hope this helps

Answer:

Two adjacent angles can be supplementary or complementary.

Step-by-step explanation:

IF they are supplementary then they are a linear pair.

Answer:

\(\frac{1}{81}\)

Step-by-step explanation:

\((\frac{1}{3} )^{4}\)

We know this is written as

\(\frac{1}{3}*\frac{1}{3}*\frac{1}{3}*\frac{1}{3}\)

Let's solve:

\(\frac{1}{3} * \frac{1}{3} = \frac{1}{9}\\ \frac{1}{9} *\frac{1}{3} = \frac{1}{27} \\\frac{1}{27} * \frac{1}{3} = \frac{1}{81}\)

The probability P(A and B)  that both events will occur is 8/13

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

Event A = 6 and 6

Event B = 20 and 6

Event A and B = 6

Total = 6 + 6 + 20 + 6 - 6 + 20 = 52

Using the above as a guide, we have the following:

P(A) = 12/52

P(B) = 26/52

P(A and B) = 6/52

The probability that both events will occur is represented as

P(A and B) = P(A) + P(B) - P(A and B)

And this is calculated as

P(A and B) = P(A) + P(B) - P(A and B)

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

P(A and B) = 12/52 + 26/52 - 6/52

Evaluate

P(A and B) = 32/52

Simplify

P(A and B) = 8/13

Hence, the probability that both events will occur is 8/13

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Answer:

True

Explanation:

A proportion states the equality of two fractions. It is an equation that shows that two fractions are equivalent to each other.

Looking at the given statement;

10 altos for every 16 sopranos, 5 altos for every 8 sopranos.

This can be expressed as;

And we can see that the two fractions are equivalent, if we divide the numerator and denominator of the 1st fraction by 2 we'll have the 2nd fraction.

Answer:

0.1

Step-by-step explanation:

Answer:

0.4 ÷ 4 = 0.1

Explanation:

Perimeter is the total sum of the 4 sides.

The height is given as 8 inches. If this is doubled the new height becomes 16 inches. (The height increases by 8 inches)

total increase in perimeter = 8 + 8 = 16 inches.

Answer: 16 inches

Answer:

- 19

Step-by-step explanation:

Step 1:

d + 7 ÷ - 3 = 4        Equation

Step 2:

d + 7 = - 12        Multiply

Step 3:

d = - 12 - 7      Subtract

Answer:

d = - 19

Hope This Helps :)

Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.

Answer:

JL ≈ 32  

Step-by-step explanation:

The triangle JKL  has a side of JK = 24 and we are asked to find side JL. The triangle JKL is a right angle triangle.

Let us find side the angle J first from the  triangle JKM. Angle JMN is 90°(angle on a straight line).

using the cosine ratio

cos J = adjacent/hypotenuse

cos J = 18/24

cos J = 0.75

J = cos⁻¹ 0.75

J = 41.4096221093

J ≈ 41.41°

Let us find the third angle L of the triangle JKL .Sum of angle in a triangle = 180°. Therefore,  180 - 41.41 - 90 = 48.59

Angle L = 48.59 °.

Using sine ratio

sin 48.59 ° = opposite/hypotenuse

sin 48.59 ° = 24/JL

cross multiply

JL sin 48.59 ° = 24

divide both sides by sin 48.59 °

JL = 24/sin 48.59 °

JL = 24/0.74999563751

JL = 32.0001861339

JL ≈ 32  

Answer:35

Step-by-step explanation:

The volume of a cylinder is calculated by multiplying the area of its base by its height. The formula for the volume of a cylinder is V = πr²h, where r is the radius of the base and h is the height.

The volume of a cone is calculated by multiplying the area of its base by its height and then dividing by 3. The formula for the volume of a cone is V = (1/3)πr²h, where r is the radius of the base and h is the height.

Since Sonequa’s two containers have equal radii and equal heights, it can be concluded that the volume of the cylinder is three times the volume of the cone. This means that if Sonequa fills the cone with water and pours it into the cylinder, she will need to repeat this process three times to fill the cylinder completely.

So, the claim that is most likely to be supported using the result of Sonequa’s investigation is: “The volume of a cylinder with the same radius and height as a cone is three times greater than the volume of the cone.”

Answer:

Surface area of the figure = 1000 in²

Step-by-step explanation:

From the figure attached,

Two rectangular prisms A and B have been shown with the dimensions.

Surface area of a rectangular prism = 2(length + width) × height

Surface area of prism A = 2(9 + 10) × 20

                                        = 760 in²

Surface area of prism B = 2(15 + 10) × 8

                                        = 16×25

                                        = 400 in²

But one surface of prism B along the width and the same area of prism A are hidden.

Area of the hidden surfaces = 2(10 × 8)

                                               = 160 in²

Total surface area of the figure = 760 + 400 - 160

                                                    = 1000 in²

Answer:

$110.2

Step-by-step explanation:

$76 × 45%

$34.2

$76 + $34.2

$110.2

An inflationary gap occurs when the  SRAS curve and the AD curve intersect Right of the potential GDP line.

With the help of the short-run aggregate supply curve (SRAS), we can understand how each firm in an economy reacts to price stickiness. The SRAS curve will slope upward when prices are volatile. The SRAS curve illustrates that higher price levels lead to increased output.

The demand for and supply of every good and service an economy produces are the main topics of discussion. As a result, the demand for all distinct goods and services is also combined and is known as aggregate demand.

The price level of goods and services would then rise (naturally or as a result of government intervention) to compensate for the increased demand as well as an insufficient supply when an inflationary gap occurs. This price increase is known as demand-pull inflation.

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Answer: 16\/729

Step-by-step explanation:

Answer:

six raised to the fourth power divided by three raised to the tenth power

Step-by-step explanation:

(6^−2 • 3^5)^−2 = 6^(-2*-2) * 3^(5*-2) = 6^4 * 3^(-10) = 6^4 / 3^10

Answer:

it is equal to it

Step-by-step explanation:

4 times four is sixteen four times five means that it if four fifths

Answer:

4

Step-by-step explanation:

Did it on edgeunity! Gl

Answer:

well its simple really.

Step-by-step explanation:

its a 1 percent chance however, by moving her hand around enough like around 20 seconds she'll get green.

Answer:

Its A i took the test while looking at this but no one awnsers so i took a leap and got the right answer here ya go buddy sorry if its not the same anwser for you

Step-by-step explanation:  

Answer:

B

Step-by-step explanation:

The equation involves trigonometric functions, it will require numerical methods or software to obtain the exact value of θ.

To determine the angle above the horizontal at which the ball must be thrown to hit the basket, we can analyze the projectile motion of the ball.

Given:

Initial speed (v₀) = 7.50 m/s

Initial height (h) = 2.44 m

Horizontal distance to the basket (x) = 4.57 m

Vertical distance to the basket (y) = 3.05 m

We can break down the motion into horizontal and vertical components. The time it takes for the ball to reach the basket is the same for both components.

1. Horizontal Component:

The horizontal component of motion is unaffected by gravity. We can use the formula:

x = v₀ * t * cosθ

where θ is the angle above the horizontal.

2. Vertical Component:

The vertical component of motion is affected by gravity. We can use the formula:

y = h + v₀ * t * sinθ - (1/2) * g * t²

where g is the acceleration due to gravity (approximately 9.8 m/s²).

We can solve these equations simultaneously to find the angle θ. Rearranging the equations:

x = v₀ * t * cosθ

t = x / (v₀ * cosθ)

y = h + v₀ * t * sinθ - (1/2) * g * t²

Substituting the expression for t:

y = h + (v₀ * x * sinθ) / (v₀ * cosθ) - (1/2) * g * (x² / (v₀² * cos²θ))

Simplifying:

y = h + (x * tanθ) - (1/2) * g * (x² / (v₀² * cos²θ))

Rearranging and substituting the given values:

0 = 3.05 - 4.57 * tanθ - (1/2) * 9.8 * (4.57² / (7.50² * cos²θ))

Solving this equation for θ will give us the angle above the horizontal at which the ball should be thrown to hit the basket. Since the equation involves trigonometric functions, it will require numerical methods or software to obtain the exact value of θ.

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there are 120 permutations of 6 letters taken 3 at a time without repetition.
To find the number of permutations of 6 letters taken 3 at a time without repetition, we can use the formula for permutations:

P(n, r) = n! / (n - r)!

where n is the total number of objects and r is the number of objects taken at a time.

In this case, we have 6 letters and we are taking them 3 at a time, so n = 6 and r = 3.

P(6, 3) = 6! / (6 - 3)!
        = 6! / 3!

Now, let's calculate the factorial values:

6! = 6 × 5 × 4 × 3 × 2 × 1
3! = 3 × 2 × 1

Substituting the values into the formula:

P(6, 3) = (6 × 5 × 4 × 3 × 2 × 1) / (3 × 2 × 1)
       = 6 × 5 × 4
       = 120

Therefore, there are 120 permutations of 6 letters taken 3 at a time without repetition.

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The number of units produced is increasing at a rate of 150 units per week, the rate of change of cost is 0.85 * 150 = $127.50 per week. The rate of change of profit is -$201,887.50 per week or -$5072.5 per unit per week.

(a) To find the rate of change of cost, we take the derivative of the cost equation with respect to x (units produced):

dC/dt = d(115,000 + 0.85x)/dt = 0.85

Since the number of units produced is increasing at a rate of 150 units per week, the rate of change of cost is 0.85 * 150 = $127.50 per week.

(b) To find the rate of change of revenue, we take the derivative of the revenue equation with respect to x:

dR/dt = d(240x - 101x^2)/dt = 240 - 202x

Substituting x = 1000 (current production), the rate of change of revenue is 240 - 202 * 1000 = -$201,760 per week.

(c) To find the rate of change of profit, we subtract the rate of change of cost from the rate of change of revenue:

dP/dt = dR/dt - dC/dt = (-$201,760) - ($127.50) = -$201,887.50 per week.

Therefore, the rate of change of profit is -$201,887.50 per week or -$5072.5 per unit per week.

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The smallest n such that 1 can be written as a sum of n

special numbers is 8.

A number is a mathematical concept that is used for counting, measuring, and labeling. The natural numbers 1, 2, 3, 4, and so forth are the original examples. Number terms in language can be used to represent numbers. More commonly, individual numbers can be represented using symbols known as numerals; for instance, the numeral "5" stands in for the number five. Basic numerals are frequently arranged in a numeral system, which is an ordered manner to represent any number, as only a very small number of symbols can be learned. The most widely used numeral system is the Hindu-Arabic numeral system, which enables the depiction of any number using a combination of 10 basic numerical symbols, or "digits."

Calculations:

Suppose 1 = x1 + x2 + · · · + xn where x1, x2, . . . , xn are special and

n ≤ 9. For k = 1, 2, 3, . . . , let ak be the number of elements of {x1, x2, . . . , xn}whose kth decimal digit is 7. Then

1 =7a1}/10 +7a2/10 +7a3/10 + ... ,

which yields

1/7 = 0.142857 =a1 /10 +a2/\(10^{2}\) +a3/\(10^{3}\) + ... ,

Hence a1 = 1, a2 = 4, a3 = 2, a4 = 8, etc. In particular, this implies that n ≥ 8. On

the other hand,

x1 = 0.700, x2 = x3 = 0.07, x4 = x5 = 0.077777, and x6 = x7 = x8 = 0.000777

are 8 special numbers whose sum is

(700700+2(70707)+2(77777)+3(777))/{999999} =1

Thus the smallest n is 8.

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Answer:

x= -3,      x = 1

Step-by-step explanation:

Zeros are values of x, when f(x) = 0.

0=(x+3)(x-1)

x+3 = 0,  x - 1=0

x= -3,      x = 1

Answer:

x = -3, x = 1

Step-by-step explanation:

To determine the zeroes of the factored quadratic equation, we need to look back at its definition. The zeroes are a function are specific x-values that result in a y-value of 0.

In this case, we want the numbers inside of the parantheses to equal 0. If we substitute in x = -3, we get (0)(x - 1), and we know that is just 0. Similarly, if we substitute in x = 1, we get (x + 3)(0), and we know that is just 0.

As such, these are your solutions.

Therefore, it can be said that the given statement is true.

Ian and Rosa race in a speed skating competition. Ian records a time of 42.839 seconds. Rosa records a time of 42.782 seconds. The statement that is true is that Rosa finished the race earlier than Ian with a time of 42.782 seconds.

What is the statement?

In the given scenario, Ian's time is 42.839 seconds and Rosa's time is 42.782 seconds. The statement that is true is: Rosa finished the race earlier than Ian with a time of 42.782 seconds. Here, the difference between the two times (Ian's time and Rosa's time) is 0.057 seconds. This means that Rosa was 0.057 seconds faster than Ian while skating and completed the race earlier than Ian.

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