Factor. 81x6 - 25y¹0 Enter your answer in the box.​

Answer:

1/5

Step-by-step explanation:

hope this helps!

Answer:

AC=6cm

Step-by-step explanation:

AC= root(10²-8²)

ac=root (100-64)

ac=√36

AC= 6cm

Answer:

I believe it is 6.

Step-by-step explanation:

a^2 + b^2 =c^2

So, 8^2 + b^2 = 10^2

64 + b^2 = 100

100 - 64 = 36

\( \sqrt{36} = 6\)

Then to check: 8^2 + 6^2 = 10^2 Which is correct.

So, I believe 6 is correct.

Answer:

Answer:

3.61

Step-by-step explanation:

The standard deviation of X is 2, so the variance is 4.

The standard deviation of Y is 1.  The standard deviation of 3Y is 3, so the variance is 9.

The variance of Z is 4 + 9 = 13

So the standard deviation is √13 = 3.61.

The length of AE¯¯¯¯¯ is 5√2 cm.

Since quadrilateral ABCD is a square, all four sides are congruent. Let's denote the length of one side as s. Therefore, the length of BD¯¯¯¯¯ is equal to s.

Given that the length of BD¯¯¯¯¯ is 10 cm, we can conclude that s = 10 cm.

Now, we need to find the length of AE¯¯¯¯¯. Looking at the square, AE¯¯¯¯¯ is the diagonal connecting opposite corners.

In a square, the diagonal divides the square into two congruent right triangles. We can use the Pythagorean theorem to find the length of the diagonal.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the diagonal (the hypotenuse) is the same as the side length, s.

Applying the Pythagorean theorem:

s^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

10^2 = AE¯¯¯¯¯^2 + AE¯¯¯¯¯^2

100 = 2 * AE¯¯¯¯¯^2

AE¯¯¯¯¯^2 = 50

Taking the square root of both sides:

AE¯¯¯¯¯ = √50

Simplifying the square root:

AE¯¯¯¯¯ = √(25 * 2) = 5√2 cm

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A number of 80 student would be expected to attend after school programs.

Respondents refers to an individuals who complete a survey or interview for the researcher, or who provide data to be analyzed for the research study.

Out of 140 respondents, 28 attend after school programs. This give us a fraction of 28/140 = 0.2. So, 20% of students attend after school programs.

Now, out of 400 seventh-graders, the number of student expected to attend after school programs is:

= 20% * 400

= 80. Therefore, 80 student would be expected to attend after school programs.

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Answer:

15,625

Step-by-step explanation:

5 to the 6 power = 5 × 5 × 5 × 5 × 5 × 5 = 15,625

Answer:

Yes, since the total pay of $120 is more than the $100 cost of the MP3 player.

Step-by-step explanation:

hourly pay: $5/hour

number of hours: 24 hours

total pay = hourly pay × number of hours

total pay = $5/hour × 24 hours

total pay = $120

MP3 player costs $100.

Total pay is $120.

Answer: Yes, since the total pay of $120 is more than the $100 cost of the MP3 player.

After answering the presented question, we can conclude that probability Therefore, the probability of 30 or more seconds between vehicle arrivals is approximately 0.0498.

Probability is a measure of how likely an event is to occur. It is represented by a number between 0 and 1, with 0 representing a rare event and 1 representing an inescapable event. Switching a fair coin and coin flips has a chance of 0.5 or 50% because there are two equally likely outcomes. (Heads or tails). Probabilistic theory is an area of mathematics that studies random events rather than their attributes. It is applied in many fields, including statistics, economics, science, and engineering.

Sketch of exponential probability distribution with mean of 12 seconds:

   |                            

   |                            

   |              .            

   |             . .            

   |             . .            

   |             . .            

   |             . . .          

   |             . . .          

   |             . . .          

   |             . . .          

   |             . . .          

   |             . . . .        

   |             . . . .        

   |             . . . .        

   |             . . . . .      

   |             . . . . .      

   |_____________. . . . . . .

        0       12             X

The X-axis represents the time between vehicle arrivals, and the Y-axis represents the probability density. The peak of the distribution is at 12 seconds, which is the mean.

b. Probability of the arrival time between vehicles being 12 seconds or less:

Since the mean of the exponential distribution is 12 seconds, we can use the cumulative distribution function (CDF) to find the probability of the arrival time being 12 seconds or less:

\(P(X < = 12) = 1 - e^(-12/12) = 1 - e^(-1) ≈ 0.6321\)

Therefore, the probability of the arrival time between vehicles being 12 seconds or less is approximately 0.6321.

c. Probability of the arrival time between vehicles being 6 seconds or less:

\(P(X < = 6) = 1 - e^(-6/12) = 1 - e^(-0.5) ≈ 0.3935\)

Therefore, the probability of the arrival time between vehicles being 6 seconds or less is approximately 0.3935.

d. Probability of 30 or more seconds between vehicle arrivals:

\(P(X > = 30) = e^(-30/12) ≈ 0.0498\)

Therefore, the probability of 30 or more seconds between vehicle arrivals is approximately 0.0498.

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Answer:

increase

Step-by-step explanation:

it's increasing because it's decreasing which makes it a function

Answer:

x < -3

Step-by-step explanation:

the other one was taken by a bot so im using this one

4x + 6 < -6

subtract 6 from both sides

4x + 6 - 6 < -6 - 6

Simplify

4x < -12

divide both sides by 4

4x/4 < -12/4

Simplify

x < -3

Answer:

157 degrees

Step-by-step explanation:

A linear pair is 180 degrees.

180-33 = 157

Answer:

m∠1 = 147°

Step-by-step explanation:

Since both angles are a linear pair, they both add up to 180°. This means that if m∠2 = 33°, then m∠1 would be 180°-33° which is 147°.

180°-33°=147°

Answer:

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

Given two similar triangles:

We know similar figures have same ratio of corresponding sides.

Apply this to the given triangles to get:

Substitute values:

The matching choice is B.

Answer:

\(Surface \ area = 2 (LB + BH + HL) = 2 ((4\times 8)+(8 \times 6) + (6 \times 4))\)

                                                     \(= 2(32 + 48 + 24)\\=2(104) \\=208 cm^2\)

\(Volume = L \times B \times H = 4 \times 8 \times 6 = 192cm^3\)

Answer:

(2,1)

Step-by-step explanation:

The line 4y - 2x = 0 can be written in slope-intercept form as y = 1/2x.

So any point that satisfies this equation will lie on the line. For example, the point (2,1) satisfies the equation:

4(1) - 2(2) = 0

So the point (2,1) is on the line.

Answer:

n

Step-by-step explanation:

The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² ×         5³ × 5 × 7

B = 3² × 3² × 5³ ×       7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

        = 3898125

Hence the LCM is 3898125.

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Answer:

30

Step-by-step explanation:

Substitute your numbers in the equation

2(-3)-4((-5)-7)+3(-4)

Distribute

-6-4(-12)-12

Distribute

-6+48-12

Combine like terms

30

Hope this helped!

Answer: 30

Given  a = -3, b = -4, c = -5

2a - 4(c-7) + 3b = 2*a - 4*(c - 7) + 3*b

2 x -3 - 4 x (-5 - 7) + 3 x -4

= -6 + 48 - 12

= 48 - 18 = 30

The value of 2a - 4(c-7) + 3b is 30

2a - 4(c - 7) + 3b = 30.

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Heather's new balance if her APR is 16.2% is, $1773.98

We have to given that;

Heather's statement shows a previous balance of $1413.92, a payment of $40, and new transactions totaling $381.51.

Hence, We have;

Previous balance: 1413.92

payment: 40

new transaction: 381.51

APR: 16.2%

So, We need to divide APR by 12 to get the monthly rate:

16.2% / 12 = 1.35%

⇒ 1413.92 - 40 = $1373.92

And, Interest for month = 1373.92 x 1.35%

                                    = $18.55

Since, We did not include 138 because it still is within the 1 month period and it is not subject to interest.

Only the revolving amount of 1373.92 has interest.

So, Heather's new balance if her APR is 16.2% is,

= 1373.92 + 18.55 + 381.51

= $1773.98

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The measure of the unknown angle is 75°

What is an angle?

An angle is a shape in Euclidean space created by two rays, termed the ends of the angle, that share a common termination, called the vertex of the angle. Angles produced by two rays are located in the longitudinal plane the rays. Angles are also generated when two planes overlap. These are known as dihedral angles. An angle defined by two intersecting curves is the angle of the rays lying tangent to the respective curves at their point of junction. Angle can also refer to the measurement of an angle or of a rotation. In the case of a geometric angle, the arc is defined by the sides and is centered at the vertex.

From figure,

x+70+25 = 180 (angle sum property of a triangle)

x = 180 - 95 = 75°

Hence, the measure of the unknown angle is 75°

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The greatest common divisor of 5! and 7! is 840.

To find the greatest common divisor (GCD) of 5! and 7!, we need to calculate the prime factorization of both numbers.

First, let's calculate the prime factorization of 5!:

5! = 5 * 4 * 3 * 2 * 1 = 120.

The prime factorization of 120 is 2^3 * 3 * 5.

Now, let's calculate the prime factorization of 7!:

7! = 7 * 6 * 5! = 7 * 6 * 120 = 5040.

The prime factorization of 5040 is 2^4 * 3^2 * 5 * 7.

To find the GCD of 5! and 7!, we need to find the common factors in their prime factorizations. We take the smallest exponent for each prime factor that appears in both factorizations.

From the prime factorizations above, we can see that the common factors are 2^3, 3, 5, and 7. Multiplying these factors together gives us:

GCD(5!, 7!) = 2^3 * 3 * 5 * 7 = 8 * 3 * 5 * 7 = 840.

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Answer:

\(3\sqrt{22}\)

Step-by-step explanation:

The product of roots with the same index is equal to the root of the product \(3\sqrt{11*2}\)

Multiply

The length of side x of the pyramid is equal to 47 inches.

Given the following data:

To determine the length of side x of the pyramid, we would apply Pythagorean's Theorem:

Pythagorean theorem is a fundamental mathematical expression in Euclidean geometry that can be used to determine any of the three (3) sides of a right triangle.

Mathematically, Pythagorean's Theorem is given by this formula:

\(c^2 = a^2 + b^2\)

Where:

Substituting the given parameters into the formula, we have:

\(x^2=2^2 +46.5^2\\\\x^2=4+2162.25\\\\x^2=2166.25\\\\x=\sqrt{2166.25}\)

x = 46.54 ≈ 47 inches.

b. To find the length of the support:

Since the support is altitude (y) to the hypotenuse of the right-angled triangle, we have:

Length = \(\frac{12 \times \sqrt{47}} {47}\)

Length = 1.75 ≈ 2 inches.

c. The support would attach to base of the hypotenuse of the plywood, which is the triangle formed by altitude (y) to the hypotenuse of the right-angled triangle.

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Answer:

6\(\sqrt{17}\) or 24.738634

Step-by-step explanation:

We can use the Pythagorean theorem to find the length of the sides. We will only need to find the length of AB and AD, as AB = DC and AD = BC.

The picture shows the Pythagorean theorem being used to find AB and AD.

AB = \(\sqrt{17}\)

AD = \(\sqrt{68}\)

Now we can find the perimeter

2(\(\sqrt{17}\)) + 2(\(\sqrt{68}\)) = 6\(\sqrt{17}\)

The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.

Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.

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Answer:

2y - 6

Step-by-step explanation:

5y - 3(y + 2)

distribute

5y + (-3 * y) + (-3 * 2)

simplify

5y -3y + ( -3 * 2)

5y - 3y + ( -6)

5y - 3y - 6

combine like terms

5-3 = 2

2y - 6

Answer: 4

Step-by-step explanation:

Answer:4

2+2=4 if I have two apples and pick up two more I now have 4 total

Answer:

volume = length × width × depth

Assuming that the driveway has a rectangular shape, you can measure the length and width of the area to be covered and multiply by the depth of 3/4 ft (which is 0.75 ft) to get the volume in cubic feet.

For example, if the driveway is 20 ft long and 10 ft wide, the volume of concrete needed would be:

volume = length × width × depth

= 20 ft × 10 ft × 0.75 ft

= 150 cubic feet