x = ?
f(x) = 3x - 7
f(x) = -1

The equivalent expression using laws of exponents gives us; 2 over quantity 9 times d raised to the negative fourteenth power end quantity

We want to write an equivalent expression for 4 times d raised to the negative fifth power all over quantity 18 times d raised to the ninth power end quantity. This can be expressed as;

4d⁻⁵/18d⁹

Now, according to laws of exponents, we know that;

x²/x³ = x²⁻³ = x⁻¹

Applying that law to our question gives us;

4d⁻⁵/18d⁹ = (4/18)(d⁻⁵⁻⁹)

= (4/18)(d⁻¹⁴)

Now, the expression 4/18 can be broken down to 2/9. Thus, our final expression is; ²/₉d⁻¹⁴

Writing that in words gives;

2 over quantity 9 times d raised to the negative fourteenth power end quantity

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Answer: 2/9d^14 or 2 over 9 times d to the 14th power

Step-by-step explanation: AFOKE88 gave the same answer. this answer is correct you just have to understand how to write this equation in word form to understand them. they also gave a great explanation for those who need it.

Answer: 89633.78

Step-by-step explanation: Hope this helps :)

Answer:

24

Step-by-step explanation:

Answer: 13 ==> B

Step-by-step explanation:

x=-3, y=4, z=-1

|2x-3y|+5z=

|2(-3)-3(4)|+5(-1)=

|-6-12|-5=

|-18|-5=

18-5=13 ==> B

Answer:

Step-by-step explanation:

B

the inequality is:

$38 + $3*x < $80

And the solution is:

x < 14.

We know that Violet's plan has a flat cost of $38 plus $3 per gigabyte.

So, if we define x as the number of gigabytes that Violet uses, then the monthly cost is given by:

C(x)=  $38 + x*$3

And she wants to spend less than $80 per month, so we can write the inequality:

$38 + $3*x < $80

Solving that for x we get:

$3*x < $80 - $38 = $42

x < $42/$3

x < 14

We conclude that she needs to use less than 14 gigabytes per month.

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Answer:

Step-by-step explanation:

150 90x 100/60

Answer: $0.99

Step-by-step explanation:

2.71/2.75=

0.98545=

0.98545=$0.99

The volume of the given square pyramid in cubic feet is 2.5 cubic feet.

Given that, a square pyramid has a volume of 4320 cubic inches.

We need to find the volume of this pyramid in cubic feet.

The volume of a square pyramid is one-third of the product of the area of the base and the height of the pyramid. Thus, volume = (1/3) × (Base Area) × (Height).

To convert from cubic inches to cubic feet, divide your cubic inches figure by 1728.

Now,  4320/1728 = 2.5 cubic feet

Therefore, the volume of the given square pyramid in cubic feet is 2.5 cubic feet.

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The students she's had in 7 years is 850.

It should be noted that we want to find the 7th term. This will be:

a + (n - 1)d

a = First term = 250

d = Difference = 100

n = Number = 7

Therefore, a + (n - 1)d

= 250 + (7 - 1)100

= 250 + 600

= 850

Therefore, the students she's had in 7 years is 850.

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(a) The mean of (2) will be greater than the mean of (1) and the distribution of (2) will have more variation as compared to the distribution of (1) because the maximum of (1) is smaller than the maximum of (2)

(b) The mean of (2) will be smaller than the mean of (1) and the distribution of (2) will have more variation as compared to the distribution of (1) because the minimum of (2) is smaller but negative than the minimum of (1) which is also negative.

(c) The mean of (2) will be more than the mean of (1) and the distribution of (2) will have more variation as compared to the distribution of (1) because the maximum of (1) is smaller than the maximum of (2)

(d) The mean of (2) will be smaller than the mean of (1) and the distribution of (2) will have smaller variation as compared to the distribution of (1) because the range of (1) is greater than the range of (2)

The mean is a measure of the central trend of a probability distribution along the median and the mode.

a distribution is the set of all possible values for terms representing defined events.

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The length of the side of the quadrilateral is 12 cm.

A closed quadrilateral has a total of four sides,  four angles and four vertices.

from the scale factor properties of quadrilaterals we know that:

Scale factor = BC ÷ XY

Now we substitute the values to find the length of XY.

[tex]or, \frac{3}{7} =\frac{BC}{XY} \\\\or, \frac{3}{7} =\frac{28}{XY}\\\\or, XY = 65.33..\\\\or, XY\approx65.33[/tex]

Hence the length of XY is 65.33 cm.

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=================

Work Shown:

(p+4)^2

(-5+4)^2

(-1)^2

1

Explanation:

We replace p with -5, since p = -5. Then use the order of operations PEMDAS to simplify. Keep in mind that (-1)^2 = (-1)*(-1) = 1. The two negatives cancel out. The value of g is never used.

The fractional error for given example is 0.0057

For given question,

the theoretical value of a quantity is 3.142,

and the calculated value is 3.16

We know that, the fractional error is the ratio of the absolute difference and the accepted value.

Fractional error =  absolute difference / accepted value

Fractional error = |E - A| / A

Here, A = 3.142

E = 3.16

So, the absolute difference would be,

|E - A| = |3.16 - 3.142|

          = 0.018

Now we find the fractional error.

⇒ Fractional error = |E - A| / A

⇒ Fractional error = 0.018 / 3.142

⇒ Fractional error = 0.0057

Therefore, the fractional error for given example is 0.0057

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The equivalent expression of √-12 is 2√-3

The expression is given as

√-12

Express 12 as 3 * 4

So, we have

√-12 = √(-3 * 4)

Expand the expression

So, we have

√-12 = √-3 * √4

Take the square root of 4

√-12 = √-3 * 2

Evaluate

√-12 = 2√-3

Hence, the equivalent expression of √-12 is 2√-3

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Answer:

-6<x<0

Step-by-step explanation:

-8|x/3+1|>-8

-8|x/3+1|/(-8)>-8/(-8)

|x/3+1|<1

x/3+1<1

x/3<0

x<0

x/3+1>-1

x/3>-2

x>-6

-6<x<0

Answer:

Step-by-step explanation:

$1.94.Step-by-step explanation:Initial box of figurine = 32Price increase = 2.32Current worth = $144.24Let x be the initial cost of boxes of figurine. (32 * x) * 2.32 = $144.24.74.24x = $144.24.x = $144.24/74.24= $1.94.Therefore the original cost of the box of figurine is $1.94.

The perfect squares which are nearest to the square root of 11 as in the task content are; 1 and 4.

It follows from the task content that the perfect squares which are nearest to the square root of 11 are to be determined.

Hence, one must first determine what the square root of 11 is as follows.

The square root of 11 as given in the task content is; √11 = 3.32.

Hence, the numbers which are perfect squares and closest to the number 3.32 are; 1 and 4.

Consequently, it follows that the perfect squares as required are; 1 and 4.

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Answer:

[tex] {} {7}^{x} = 40353607[/tex]

[tex]x = log_{7}(40353607) [/tex]

[tex]x = 9[/tex]

Answer: 5732

Step-by-step explanation:

Answer: 6z^2-3z-2

Step-by-step explanation: hope this helps a little !!!!

After solving the expression we get 3x² ₊ 6x ₊ 2 .

Given f(x) = 3x₊5

g(x) = 4x² ₋ 2

h(x) = x² ₋ 3x ₊ 1

f(x)  ₊  g(x) ₋ h(x)

substitute the values.

3x ₊ 5 ₊ 4x² ₋ 2 ₋ (x² ₋ 3x ₊ 1)

4x² ₊ 3x ₊ 3 ₋ x² ₊ 3x ₋ 1

3x² ₊ 6x ₊ 2

hence we get 3x² ₊ 6x ₊ 2 .

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The expected length of the middle part of the stick is 1/3

We know that the Symmetry Principal,

When n points are drooped on a unit segment, the distributions of lengths of the so obtained n + 1 pieces are all the same.

Let the two points have coordinates x and y. Then the expected value of the middle segment is:

[tex]\int\limits^1_0 \int\limits^1_0 {x-y} \, dx~ dy = \frac{1}{3}[/tex]

Let L be the expected value of the length of the middle part of a stick. Since, according to the Symmetry Principle, the lengths of all three segments have the same distribution, their lengths have the same expected value, viz., L.

But in any experiment, the lengths of the three pieces add up to 1.

⇒ 3L= 1

⇒ L = 1/3

Therefore, the expected length of the middle part of the stick is 1/3

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Answer:

24 inches square

Step-by-step explanation:

Area = length x width

A = 3 x 8 = 24

Answer:

D. Rhombus

Step-by-step explanation:

The most specific name for this figure is a rhombus.

Hope this helps!

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Answer:

124.8 miles 

Step-by-step explanation:

We know that if the rate of change of distance with respect to time remains constant, then the distance and time are proportional .Given : A small airplane flew 104 miles in 50  minutes. Let x be the distance traveled in 1 hour. Also, it is given that Then we have the following proportional equation:-

Hence, it can fly 124.8 miles in an hour.

The mean absolute deviation of the data is 0

Given that

          24, 26, 28, 28, 30, 30, 32, 32, 34,36

To find

So, according to the question

We have,

          24, 26, 28, 28, 30, 30, 32, 32, 34,36

                    [tex]mean = \frac{sum\;of\;data}{number\;of\;data}[/tex]

                              = [tex]\frac{24+26+ 28+ 28+ 30+30+ 32+ 32+ 34+36}{10}[/tex]

                              = [tex]\frac{300}{10}[/tex]

      mean of data = 30

For mean absolute deviation of the data, first we have to find the difference of each data value from mean of data.

So,

      24 - 30 = -6

      26 - 30 = -4

      28 - 30 = -2

      28 - 30 = -2

      30 - 30 =  0

      30 - 30 =  0  

      32 - 30 =  2

      32 - 30 =  2

      34 - 30 =  4

      36 - 30 =  6

                   ∑D = | (-6-4-2-2+0+0+2+2+4+6) |

                   ∑D = 0

                MAD  = [tex]\frac{The \;sum \; of \; data \;after \; subtracting \;it's \;mean }{number \;of \;data}[/tex]

                MAD  = [tex]\frac{\sum D}{10}[/tex]

                MAD  = [tex]\frac{0}{10}[/tex] = 0

the mean absolute deviation of the data = 0.

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