Choose all the expressions that are equivalent to 4x-20.
x (4 - 20)
2 (2x - 10)
4(x - 20)
4(x - 5)

Answer:

The product of the terms in the given expression is -90k⁷

Step-by-step explanation:

10k⁴ · (-9k³)

When we multiply exponents, then we are going to add the exponential together. So, we will add 4 and 3 together which is 7. Since our base numbers are different, then we also multiply them together. So, we will multiply 10 by -9 which is -90.

-90k⁷

The harmonic mean would give equal weight to both of these trails, despite their different distances.

The harmonic mean would make the most sense when calculating the average one-way mileages for trails to different lakes. When it comes to calculating the average of one-way mileages for trails to different lakes, it's important to choose the appropriate type of average based on the nature of the data.

In this case, since we're dealing with mileages, one-way distances, and travel times, the best option would be the harmonic mean. The harmonic mean is defined as the reciprocal of the arithmetic mean of the reciprocals of a set of numbers. In other words, it's a weighted average of the reciprocals of the numbers.

This type of average is useful in situations where rates, speeds, or frequencies are involved.  In this case, the harmonic mean would be the most appropriate choice for calculating the average one-way mileage for trails to different lakes because it takes into account the fact that distances and travel times are inversely related.

For example, if one trail has a distance of 10 miles and a speed of 2 miles per hour, it will take 5 hours to travel that distance. On the other hand, if another trail has a distance of 20 miles and a speed of 4 miles per hour, it will also take 5 hours to travel that distance.

Therefore, the harmonic mean would give equal weight to both of these trails, despite their different distances.

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Answer:

6

Step-by-step explanation:

Let the amount of cars washed be x

120-12

---------- = x

18

108/18 =x

x=6

Answer:

hello! if you're talking about x², then 2 is what we call: B. Exponent.

Answer:

This is an exponential function equation.

Therefore,

The 2 represents: Original amount (Y-intercept)

The 3 represents: Growth factor or (1+r)

Answer:

0.00863

Step-by-step explanation:

move decimal to the left 3 times!

Answer:

1)

x=8 degrees

<B=70 degrees

2)

<MON=57 degrees

Step-by-step explanation:

Detailed ans is in attachment

hope it helps :)

plz mark as brainliest

Answer:

TU = 27

Step-by-step explanation:

ST + TU = SU

(8x - 11) + (14x - 15) = 19x - 17

8x - 11 + 14x - 15 = 19x - 17

22x - 26 = 19x - 17

22x - 19x = 26 - 17

3x = 9

x = 3

TU = 14x - 15 = 14(3) - 15 = 27

Answers:

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Explanation:

Linear functions, such as y = 2x+5, have a common difference. In that example, the common difference would be 2 since we add 2 to each term to get the next one. Consider when x = 1 and that leads to y = 7. Then when x = 2, we have y = 9. Then when x = 3, we have y = 11, and so on. The sequence of y values {7,9,11,...} shows we add 2 each time.

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Exponential functions have us multiply the previous term by some common factor to get the next term. A sequence like {2,6,18,...} has us multiply by 3 each time and the exponential function modeling this sequence is y = 2(3)^(x-1) where x is a natural number. So this is an example showing that exponential functions have a common factor, or we can call this a common ratio.

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Quadratic functions are a bit strange.

Let's consider the quadratic of y = x^2. The sequence of y values it generates is {1,4,9,16,25...} for positive integers x = 1, 2, 3, 4, 5....

Let's subtract the adjacent terms (larger - smaller)

Note the results of 3,5,7,9 are in a linear sequence (we're adding 2 to each increment value, so the next increment would be +11). We can consider this a linear first difference.

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

For any of these functions, I'm restricting x to be an integer and x = 1 is the smallest input possible.

The amount that the item actually cost you after the discount is $28.

A discount simply means the amount that's is less off from a product.

The following information can be deduced:

Cost of item = $40

Sales off = 30%

The cost of the item will be:

= Cost - Discount

= $40 - (30% × $40)

= $40 - $12

= $28

The cost is $28.

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Answer: B (The cost of a notebook is $0.75, and the cost of a folder is $0.25.)

Step-by-step explanation:

No need for explanation. i know i’m right!!

The formula for the nth term of an arithmetic sequence is an = a1 + (n-1)d.

In an arithmetic sequence, the common difference is constant.

In finding the missing term or nth term of an arithmetic sequence, a refers to the term.

If the common difference between consecutive terms is negative, the sequence is decreasing.

In a geometric sequence, each term after the first can be obtained by multiplying the preceding term by a fixed constant.

Another term for a geometric sequence is a geometric progression.

To find the common ratio of the geometric sequence 9, -27, 81, -243, we divide each term by the preceding term:

-27/9 = -3

81/-27 = -3

-243/81 = -3

The common ratio is -3.

To find the three consecutive terms of a sequence with a1 = -11 and r = 3:

a1 = -11

a2 = a1 * r

= -11 * 3

= -33

a3 = a2 * r

= -33 * 3

= -99

The three consecutive terms are -11, -33, -99.

The given arithmetic sequence is 12, 18, 24, 30, ...

The common difference is d = 18 - 12 = 6.

The formula for the nth term of an arithmetic sequence is an = a1 + (n-1)d.

Plugging in the values, we get:

a12 = 12 + (12-1)6

= 12 + 11*6

= 12 + 66

= 78.

The 12th term of the arithmetic sequence is 78.

The first term of the sequence is -23 and the common difference is 5.

The formula for the nth term of an arithmetic sequence is an = a1 + (n-1)d.

Plugging in the values, we get:

a13 = -23 + (13-1)5

= -23 + 12*5

= -23 + 60

= 37.

The 13th term of the sequence is 37.

Let's assume the first term of the sequence is a1 and the common difference is d.

The seventh term of the sequence is given as 17, so we have:

a7 = a1 + 6d

= 17.

The eighth term of the sequence is given as 24, so we have:

a8 = a1 + 7d

= 24.

Now we can set up a system of equations and solve for a1 and d:

a1 + 6d = 17

a1 + 7d = 24

Subtracting the first equation from the second equation, we get:

d = 24 - 17 = 7

Substituting d = 7 into the first equation, we get:

a1 + 6(7) = 17

a1 + 42 = 17

a1 = 17 - 42

a1 = -25

Therefore, the value of a1 is -25 and the value of d is 7.

The common ratio of the geometric sequence 9, -27, 81, -243 is -3.

The three consecutive terms of a sequence with a1 = -11 and r = 3 are -11, -33, -99.

The formula for the nth term of the arithmetic sequence 12, 18, 24, 30, … is an = 12 + (n-1)6.

The 12th term of the arithmetic sequence 11, 16, 21, 26, … is 78.

The 13th term of the arithmetic sequence with the first term -23 and common difference 5 is 37.

The first term of the sequence with a seventh term of 17 and an eighth term of 24 is -25, and the common difference is 7.

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Answer:

4: 2x2

7: 3+4

9: 27 divided by 3

11: 5+6

12: 6x2

14: 7x2

17: 9+8

21: 3x7

26: 11+15

27: 3x9

Step-by-step explanation:

We have to use equations to represent the following numbers: 4, 7, 9, 11, 12, 14, 17, 21, 26, 27 only using the numbers 1,2,3,4,5

A particle traveled a distance of 9.0×10¹² meters in 5.0 × 10⁷ seconds.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

If a particle traveled a distance of 9.0×10¹² meters at a rate of 1.8×10⁵meters per second.

And the distance,

= rate x time.

Rearranging the formula,

Time = Distance / rate

Time = 9.0×10¹² / 1.8×10⁵

Simplifying by using division operation,

Time = (9.0/1.8) × 10¹² × 10⁻⁵

Time = 5.0 × 10⁷

Therefore, the required specified time is  5.0 × 10⁷ seconds.

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Answer:

Simplify the following:

3 z^7 - 11 z^7

Hint: | Combine like terms in 3 z^7 - 11 z^7.

3 z^7 - 11 z^7 = -8 z^7:

Answer:  -8 z^7

Step-by-step explanation:

Ans: 2/3

Step-by-step explanation:

Formula : \(m = \frac{y2 - y1}{x2- x1}\)  (Then replace the number in )

= 3- (-1) / 4 - (-2) = 4 / 6 = 2 / 3

Step-by-step explanation:

the slope is always the ratio "y coordinate change / x coordinate change" when going from one point on the line to another.

so, when going from (-2, -1) to (4, 3)

x changes by +6 (from -2 to 4).

y changes by +4 (from -1 to 3).

therefore, the slope is

+4/+6 = 4/6 = 2/3

Answer: B.

tan 45=perpendicular/base

1=8/AB

So, AB=8

Since it's a right-angled triangle, BC is a hypotenuse.

BC=√(AC^2+AB^2)

     =r√(8^2+*^2)

     =8 √2

The likelihood that the random number generator will choose the number 68 from among the integers from 1 to 100 is 0.01 or 1%.

Given that,

Using a random number generator, a number between 1 and 100 is chosen (inclusively). What is the likelihood of choosing the number 68

One hundred options are available, and the probability of selecting the number 68 is one in one hundred.

1/100 equals 0.01 if "..using only an integer or decimal..." means the response cannot be a fraction.

Hence, The random number generator has a 0.01 or 1% chance of choosing the number 68 out of all the integers from 1 to 100.

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Answer:

here is the answer I simply don't the answer to

Step-by-step explanation:

a) 2 square.

b)because there is two k's

Answer:

The answer is B h(g(f(x)))=1.07(0.8x-10)

Step-by-step explanation:

Answer:

b = -7

Step-by-step explanation:

2(b + 5) = 3(b - 2) + 23

2b + 10 = 3b - 6 + 23

10 + 6 -23 = 3b - 2b

-7 = b

Answer:

b = -7

Step-by-step explanation:

\(2(b+5) = 3(b-2) + 23\)

for the left side of the equation: \(2*b + 2*5 = 2b + 10\)

for the right side of the equation: \(3*b + 3*-2 = 3b - 6 + 23 = 3b + 17\)

\(2b + 10 = 3b + 17\)

to isolate b, subtract 2b from both sides

\(10 = b + 17\)

subtract 17 from both sides

\(-7 = b\\b = -7\)

The opposite sides of the rhombus are the same length. The opposite sides of the rhombus are the same length. Side AC is common to both triangles ABC and CDA. The two angles ABC and CDA are congruent by the SSS theorem congruent triangle

A rhombus is a quadrilateral with all sides equal. A rhombus is a special type of parallelogram with all sides equal because the opposite sides of a parallelogram are equal. Two angles are congruent only if they have the same dimensions. Two segments are congruent only if they have the same dimensions. These are the explanation for ABC being congruent to CDA

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The form of the linear equation is y = mx + b

m is the rate

b is the y-intercept (initial amount)

Since y represents the mass of the gas

Since x represents the time

Since the rate of leaking is 1.5 gram/min

Then m = -1.5

Since after six minutes the gas left is 60 gram

Substitute m in the form of the equation by -1.5 and use (6, 60) to find b

y = -1.5x + b

We use the rate negative because the value of gas has become less

Substitute x by 6 and y by 60 to find b

60 = -1.5(6) + b

60 = -9 + b

Add 9 to both sides

60 + 9 = -9 + 9 + b

69 = b

Substitute it in the equation

y = -1.5x + 69

The line's slope-intercept equation is y = -1.5x + 69

The perimeter of quadrilateral MNOP is X units, and the area is Y square units.

To calculate the perimeter of quadrilateral MNOP, we need to find the sum of the lengths of all four sides. Let's assume the lengths of the sides are MN, NO, OP, and PM. By measuring these sides, we find that MN measures A units, NO measures B units, OP measures C units, and PM measures D units. Therefore, the perimeter is given by A + B + C + D.

To find the area of quadrilateral MNOP, we can use various methods depending on the given information. If we know the lengths of the diagonals and the angle between them, we can use the formula: Area = (1/2) × product of diagonals × sine of the angle between them. If we know the lengths of all four sides, we can use Heron's formula: Area = square root of [s × (s - A) × (s - B) × (s - C) × (s - D)], where s is the semi-perimeter given by (A + B + C + D)/2.

Without specific information about the lengths of the sides or diagonals, it is not possible to calculate the exact perimeter and area of quadrilateral MNOP. To obtain the precise values, the measurements of the sides or diagonals are needed.

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Answer:

Synthetic division work with the coefficient of the given polynomial expression

We have  

-15    -16   84   -17   -9   -15

and the divisor is:

x - ⁸/₅ = 0

x = ⁸/₅

Refer to the diagram below for the steps of synthetic division

Start by multiplying the first coefficient by the divisor, write the answer under the second coefficient, and then add the two values.

Repeat the steps until we use up all the remaining coefficients

The final values are the coefficients of the quotient and the last value is the reminder

Step-by-step explanation:

Hope this helps:)

Perimeter is the total length of all sides of a shape, also known as the circumference.

Perimeter is a measure of the distance around a two-dimensional shape. It is the sum of the lengths of all the sides of a shape. Perimeter is also known as the circumference. When calculating perimeter, you measure the length of each side of the shape and add them together. For example, the perimeter of a square with sides of 4 inches each would be 16 inches. Perimeter is an important concept in geometry, and it can be used to calculate area, the space within a shape or figure. It can also be used to calculate the distance between two points. Knowing the perimeter of a shape can help you solve many problems in math, design, and science.

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