choices ;
a) AAS
B)ASA

Answer:  A

Step-by-step explanation:

When multiplying: Numbers multiply with numbers and for the x's, add the exponents

If there is no exponent, you can assume an imaginary 1 is the exponent

2x⁴ (3x³ − x² + 4x)

= 6x⁷ -2x⁶ + 8x⁵

Answer:

A. \(6x^{7} - 2x^{6} + 8x^{5}\)

Label the parts of the expression:

Outside the parentheses = \(2x^{4}\)

Inside parentheses = \(3x^{3} -x^{2} + 4x\)

You must distribute what is outside the parentheses with all the values inside the parentheses. Distribution means that you multiply what is outside the parentheses with each value inside the parentheses

\(2x^{4}\) × \(3x^{3}\)

\(2x^{4}\) × \(-x^{2}\)

\(2x^{4}\) × \(4x\)

First, multiply the whole numbers of each value before the variables

2 x 3 = 6

2 x -1 = -2

2 x 4 = 8

Now you have:

6\(x^{4}x^{3}\)

-2\(x^{4}x^{2}\)

8\(x^{4} x\)

When you multiply exponents together, you multiply the bases as normal and add the exponents together

\(6x^{4+3}\) = \(6x^{7}\)

\(-2x^{4+2}\) = \(-2x^{6}\)

\(8x^{4+1}\) = \(8x^{5}\)

Put the numbers given above into an expression:

\(6x^{7} -2x^{6} +8x^{5}\)

distribution

variable

like exponents

Herefore, the plane was flying at a height of approximately 31680.30 feet or 6.00 miles when it passed over the George Washington Bridge.

a. To determine the height of the plane when it passed over the George Washington Bridge, we need to use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the height of the plane is the hypotenuse, and the distance from the bridge to the landing location is one of the other sides.

First, we need to convert the distance from miles to feet, as the height of the bridge is given in feet:

6 miles = 6 * 5280 feet = 31680 feet

Using the Pythagorean theorem, we have:

Height of plane = sqrt(212^2 + 31680^2) feet

Height of plane = 31680.30 feet (rounded to two decimal places)

To convert this height to miles, we divide by the number of feet in a mile:

Height of plane = 31680.30 / 5280 miles

Height of plane = 6.00 miles (rounded to two decimal places)

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Answer:

∠8 = 125°

Step-by-step explanation:

Angle 8 is equal to the first angle of the diagram

Hope this helps.

9514 1404 393

Answer:

Step-by-step explanation:

1. The area of a circle is given by the formula ...

  A = πr² . . . . . where r is the radius

The radius is shown as 6 cm, so the area is ...

  A = (3.14)(6 cm)² = 113.0 cm²

__

2. The radius is shown as 28 in. We note that this is a number divisible by 7, so we choose 22/7 for π.

  A = (22/7)(28 in)² = 2464 in² . . . . see comment

__

3. The radius is half the diameter, so is 11/2 = 5.5 ft. Then the area is ...

  A = (3.14)(5.5 ft)² = 95.0 ft²

_____

Additional comment

If you use a more exact value of π for problem 2, the area is 2463.0 in². If you use 3.14 as the value of π, the area rounds to 2461.8 in². For these values of pi (3.14 or 22/7), the answer is only good to about 3 significant digits. 2464 has more significant digits, so digits beyond the first 3 may be in error.

Answer:

hellooooo

Step-by-step explanation:

mkay

Joe works from 6 am to 11 am, before the first break.

This add 11-6=5 hours.

He clocked in at 11:30 and work until 4 pm, so we have 0.5 hours from 11:30 to noon and 4 hours in the afternoon, a total of 4.5 hours.

Then, he worked a total of 5+4.5 = 9.5 hours on Tuesday.

His pay is $125.88.

\(\qquad\qquad\huge\underline{{\sf Answer}}\)

By squaring the sum of two variables identity ~

\(\qquad \sf  \dashrightarrow \:(a + b) {}^{2} = {a}^{2} + {b}^{2} + 2ab\)

Now, plug in the given values ~

\(\qquad \sf  \dashrightarrow \:( - 6) {}^{2} = 20 + 2ab\)

\(\qquad \sf  \dashrightarrow \:36 = 2(10 + ab)\)

\(\qquad \sf  \dashrightarrow \:10 + ab = 36 \div 2\)

\(\qquad \sf  \dashrightarrow \:10 + ab = 18\)

\(\qquad \sf  \dashrightarrow \:ab = 18 - 10\)

\(\qquad \sf  \dashrightarrow \:ab = 8\)

I hope it was clear through my steps ~

Answer:

8

Step-by-step explanation:

(a+b)^2 = (-6)^2

a^2 + 2ab + b^2 = 36

a^2 + b^2 = 36 - 2ab

Equating 36 - 2ab with 20

36 - 2ab = 20

2ab = 16

ab = 8

Hope this helps out, feel free to mark this answer as brainliest :)

solution:

Step-by-step explanation:

According to the question we have:

The missing angle measures are:

Answer:

x- intercept = (3,0)

y-intercept = (0, -12)

Step-by-step explanation:

IN points (x-intercept, y-intercept)

Hope this helps!!!

Given that:

Stacy bought 7 pounds of bananas at $0.69 a pound

and 9 pounds of guavas at $0.99 a pound.

She gave two $10 bills. We have to find the change she got while buying fruits.
So the total cost of 7 pounds of bananas = $0.69 × 7 = $4.83

Total cost of 9 pounds of guavas = $0.99 × 9 = $8.91

Now, the total amount Stacy gave for the fruits = 2 × $10 = $20

Therefore, the total cost of the fruits = $4.83 + $8.91 = $13.74

Now, the change she got = Total amount given – Total cost of fruits= $20 – $13.74= $6.26

The change Stacy got if she gave two $10 bills is $6.26.

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Answer:

Step-by-step explanation:

32000 ÷ 8 = 4000boxes

Answer:

4000

Step-by-step explanation:

32000÷8 because 32÷8 is 4 but instead of '32',they changed it to '32000' to trick you're brain

Answer:

1) 10r

2) 5h

3) 7+2d

4) 15ey

5) 5e * 4y = 20ey

6) 4r+10s

7) 7z

8) 36p^2

9) 16r^2

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

just took test

Answer:

D.

Step-by-step explanation:

the graph represents two equations: 2x (when x≤1) and -3 (when x≥2). It means the D-answer is correct.

(a) To prove that \(a_i+a_2=b+b_2\) mod m, we can use the given information that \(a = b_i\) mod m and \(a_2 = b_2\) mod m. By substituting these congruences into the equation \(a_i + a_2\), we can manipulate the expressions to show that they are congruent to \(b + b_2\) mod m.

(b) To prove that a = b b mod m, we can utilize the fact that \(a = b_i\) mod m. By rearranging the congruence equation, we can express b in terms of a and use the properties of congruence to show that a is congruent to b mod m.

(a) Starting with the congruences \(a = b_i\) mod m and \(a_2 = b_2\) mod m, we can substitute these into the expression \(a_i + a_2.\) This gives us \((b_i)_i + b_2\)mod m, which simplifies to \(b_i_2 + b_2\) mod m. By factoring out the common factor of b, we have b(i + b) mod m. Since i + b is an integer, we can conclude that \(a_i + a_2\) is congruent to \(b + b_2\) mod m.

(b) Given the congruence \(a = b_i\) mod m, we can rearrange it to express b in terms of a: b = a - mi. By substituting this expression into the congruence \(a_2 = b_2\) mod m, we have \(a_2 = (a - mi)_2\) mod m. Expanding the expression on the left side and simplifying, we get \(a_2 = a_2 - 2a_mi + m_2i_2\) mod m. Since m divides \(m_2i_2\), we can eliminate the term \(m_2i_2\) mod m, leaving us with \(a_2 = a_2 - 2a_mi\) mod m. Simplifying further, we have \(2a_mi\) = 0 mod m. Since m divides \(2a_mi\), we can conclude that a is congruent to b mod m.

By proving both (a) and (b), we have shown that \(a_i + a_2\) is congruent to

\(b + b_2\) mod m and that a is congruent to b mod m.

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Answer:

A

Step-by-step explanation:

i to an odd power is 1 and i to an even power is -1 so you can see it is A

Answer:

y= 4x + 0

Step-by-step explanation:

The perimeter y of a square with side length x can be described by the equation y = 4x + 0.

The perimeter of a square is equal to four times the length of one side. If the side length of a square is 1 centimeter, then the perimeter of the square is 4 centimeters. We can use this information to write an equation in point-slope form to describe the relationship between the side length of a square and its perimeter.

Point-slope form is a way of writing the equation of a line when we know the slope of the line and the coordinates of a point on the line. In this case, the slope of the line is 4, since the perimeter of a square is four times the length of one side. The coordinates of a point on the line are (1, 4), since the side length of a square is 1 centimeter and the perimeter of the square is 4 centimeters.

We can use this information to write the equation of the line in point-slope form. The equation of a line in point-slope form is given by the following equation:

y - y1 = m(x - x1)

where y is the y-coordinate of a point on the line, y1 is the y-coordinate of a known point on the line, m is the slope of the line, and x is the x-coordinate of a point on the line.

In this case, we can substitute the values we know into the equation above to get:

y - 4 = 4(x - 1)

This simplifies to:

y = 4x + 0

Therefore, the equation in point-slope form that describes the relationship between the side length x of a square and its perimeter y is y = 4x + 0.

This equation tells us that for any square, the perimeter is four times the side length plus zero. For example, if the side length of a square is 5 centimeters, then the perimeter is 4 x 5 + 0 = 20 centimeters. If the side length of a square is 10 centimeters, then the perimeter is 4 x 10 + 0 = 40 centimeters.

In summary, the perimeter y of a square with side length x can be described by the equation y = 4x + 0.

The required solutions to the equation 8sin²(x) + 2cos(x) - 7 = 0 for 0 < x < 2π are x = π/3, 2π/3, 4π/3, and 5π/3.

To solve the equation 8sin²(x) + 2cos(x) - 7 = 0 for all solutions 0 < x < 2π, we can use the trigonometric identity sin²(x) + cos²(x) = 1.

First, let's rewrite the equation using the identity:

8sin²(x) + 2cos(x) - 7 = 0

8(1 - cos²(x)) + 2cos(x) - 7 = 0

-8cos²(x) + 2cos(x) + 1 = 0

8cos²(x) - 2cos(x) - 1 = 0

To solve this quadratic equation, we can use the quadratic formula:

cos(x) = (-b ± √(b² - 4ac)) / (2a)

In this case, a = 8, b = -2, and c = -1. Plugging these values into the quadratic formula, we get:

cos(x) = (-(-2) ± √((-2)² - 4(8)(-1))) / (2(8))

cos(x) = (2 ± √(4 + 32)) / 16

cos(x) = 1/2 or cos(x) = -1/4

Now, we can find the corresponding values of x using the inverse cosine function:

x = cos⁻¹(1/2) or x = cos⁻¹(-1/4)

For the first equation, x = π/3 or x = 5π/3.

For the second equation, x = 2π/3 or x = 4π/3.

Therefore, the solutions to the equation 8sin²(x) + 2cos(x) - 7 = 0 for 0 < x < 2π are x = π/3, 2π/3, 4π/3, and 5π/3.

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Step-by-step explanation:

The values of x for which f(x) and g(x) are equal are given by

f(x)=g(x)

⟹2x

2

−1=1−3x

2x

2

+3x−2=0

(x+2)(2x−1)=0

x=−2,1/2.

Thus, f(x) and g(x) are equal on the set {-2, 1/2}.

Answer:

Your answer would be -2, 1/2

Step-by-step explanation:

Mark the dude above brainliest! :]

Answer:

80

Step-by-step explanation:

Answer:

To find out whether a fraction will have a terminating or recurring decimal, look at the prime factors of the denominator when the fraction is in its most simple form. If they are made up of 2s and/or 5s, the decimal will terminate. If the prime factors of the denominator contain any other numbers, the decimal will recur.

Some decimals are irrational, which means that the decimals go on forever but not in a pattern (they are not recurring). An example of this would be pi  or  \(\sqrt{ 2\).

Step-by-step explanation:

Answer: A repeating decimal repeats a pattern of the same number. Like 6.7878, that goes on for infinity. When there is a repeating decimal, a line is placed on top of the pattern. A terminating decimal is the opposite and doesn't repeat.

Answer:

C

Step-by-step explanation:

N = st

Number of toothpicks = (number of students) x (toothpicks)

D.

Note that the probability of getting exactly 5 defective smartphones is approximately 2.897%, and the probability of getting at most 3 defective smartphones is approximately ≈ 0.0991%.

With the use of binomial probability formula we are able to calculate the probabilities.

a. Exactly 5 are defective

P (X =5) =   C(10, 5) * (0.795 )⁵ * (1 - 0.795)^(10 -  5)

= 10! /(5! * (10 - 5)!) *  (0.795)⁵ * (0.205)⁵

 = 0.02897380209

≈ 0.02897

b. At most 3 are defective

P( X ≤ 3) =  P(X = 0) + P( X = 1) +   P(X = 2) + P(X = 3)

= C(10, 0) * (0.795)⁰ * (1 - 0.795)^(10 - 0)  + C(10, 1)* (0.795)¹ * (1 - 0.795)^(10 - 1) + C(10, 2) * (0.795)  ² * (1 - 0.795)^(10 - 2)+ C(10, 3) * (0.795)³ * (1 - 0.795)^(10 - 3)  

= C  (10, 0) * (0.795)⁰ *   (1 - 0.795)¹⁰ + C(10, 1) * (0.795)¹ * (1 - 0.795)⁹ + C(10, 2) * (0.795)² * (1 - 0.795)⁸ + C(10, 3) * (0.795)³ *(1 - 0.795)⁷

= 1 * 1  * 0 + 0.795 * 0.000001 +45 * 0.632025   * 0.000003   + 120 * 0.50246 *0.000015

=  0.00099054637

≈ 0.0991%

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Answer:

Step-by-step explanation:

GCF of 72 and 18 by Prime Factorization

As visible, 72 and 18 have common prime factors. Hence, the GCF of 72 and 18 is 2 × 3 × 3 = 18.

Answer: ✴︎         ✴︎           ✴︎         ✴︎          ✴︎             ✴︎       ✴︎         ✴︎  ✴︎ ✴︎         ✴︎

The Greatest Common Factor (GCF) of 18 and 72 is 18.            ✴︎             ✴︎

Step-by-step explanation:                   ✴︎       ✴︎          ✴︎            ✴︎             ✴︎

Well the GCF of 18 is 18 lol. ^-^                           ✴︎             ✴︎       ✴︎         ✴︎  

If we list all the factors of 18 and 72, we will see that 18 is the greatest factor there.        ✴︎       ✴︎              ✴︎        ✴︎         ✴︎     ✴︎           ✴︎      ✴︎       ✴︎   ✴︎  ✴︎

Please mark Brainliest!

Answer:

9 and 135

Step-by-step explanation:

The GCF is 9, and 135 is divisble by 9. The GCF of a standalone number is itself, and the aforementioned divisibility of 135 by 9 rules 9 as one of the numbers. Since 9 is a multiple of 135, and 9 can multiply to be 135, this makes the second number 135.

The correct probability expression is (a) P(a) = three-fifths

Using the data in the complete question, we have:

n(A) = 3

n(U) = 5

The probability of A is then calculated using:

P(A) = n(A)/n(U)

This becomes

P(A) = 3/5

Hence, the correct probability expression is (a) P(a) = three-fifths

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Answer:

It’s A my friend

Step-by-step explanation:

i did the quiz

yw :)

hope i helped/ made life easier

Your Answer Is C) III Only.

A temperature increase of 5/9 degrees Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.

One way we could check is by multiplying (f -32) by five degrees.

( f - 32 ) = 31

9 / 5 = 1.8

31 * 1.8 = 55.8

55.8 / 14^2 = 0.28

Now, let's check,

0.28 / 1.8 = 0.504

0.504 * 28.1232 = 55.8

Or it could be solved by keeping on adding. (That would be easier but I prefer multiplying.)

- Please Mark Brainliest, This Took me a while. :v