Form and solve an equation for .
5x - 7
23

Zero divided by any real number is equal to zero.

Answer: 185.7 miles

Step-by-step explanation:

To find the total distance, add the smaller distances together.

47.8 + 72 + 65.9 = 185.7

Let's calculate the products and check if they indeed have the same value:

Product of 32 and 46:

32 * 46 = 1,472

Reverse the digits of 23 and 64:

23 * 64 = 1,472

As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.

To find two other pairs of two-digit numbers that have this property, we can explore a few examples:

Product of 13 and 62:

13 * 62 = 806

Reversed digits: 31 * 26 = 806

Product of 17 and 83:

17 * 83 = 1,411

Reversed digits: 71 * 38 = 1,411

As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.

For example, let's consider the pair 25 and 79:

A = 2, B = 5, C = 7, D = 9

The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.

Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.

The approximate probability that the total number of tickets given out during a 5-day week is between 195 and 275 is 0.8804 or 88.04%.

We need to know the mean and standard deviation of the distribution to calculate the approximate probability that the total number of tickets given out during a 5-day week is between 195 and 275.

Let's assume that the mean number of tickets given out per day is 50 and the standard deviation is 10 (these are just hypothetical values).

The total number of tickets given out during a 5-day week follows a normal distribution with mean 250 (= 5 days x 50 tickets per day) and standard deviation of the square root of 500 (= 5 days x 10²).

To find the probability that the total number of tickets given out during a 5-day week is between 195 and 275, we need to standardize the values using the z-score formula: z = (x - μ) / σ, where x is the observed value, μ is the mean, and σ is the standard deviation.

For x = 195: z = (195 - 250) / sqrt(500) = -2.46

For x = 275: z = (275 - 250) / sqrt(500) = 1.56

Using a calculator, the probability that z is between -2.46 and 1.56 is approximately 0.8804.

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Answer:

-4

Step-by-step explanation:

56/-14=n

assume the negative sign does not exist

56/14=4

then add the negative sign to the answer

-4=n

Answer:

its -14 times n

Step-by-step explanation:

um i did the test :3

Answer:

33

Step-by-step explanation:

do it in reverse

there are 3 numbers

average is 20

that means total is 20 times 3 which is

60

7+20+x=60

27+x=60

x=60-27=

33

Answer:

x = 33

Step-by-step explanation:

we find the "average" of a data set by adding all of the numbers in the data set together, and then dividing by the number of numbers/values present

for example,

the average of 2 and 20

2 + 20 = 22

(there are two numbers, so we divide by 2)

22 / 2 = 11

so, this example has an average of 11

we can apply the same logic to a variable:

we know that

\(\frac{20+7+x}{3}\)  = 20

We can now solve for x:

\(\frac{20+7+x}{3}\) = 20  

 · 3          ·3      {multiply both sides by 3}

20 + 7 + x = 60  {combine like terms}

27 + x = 60  {subtract 27 from both sides to isolate x}

x  = 33

{check answer:
7 + 20 + 33 = 60

60 / 3 = 20      (divided by 3 because we have 3 numbers) }

so, the value of x is 33

(x = 33)

hope this helps!!

Answer:

Step-by-step explanation:

You didnt attatch anything

Answer:

Step-by-step explanation:

Answer:

32cm^2

Step-by-step explanation:

The surface area is the sum of surfaces of all walls.

The 3 visible walls are 2cm*3cm, 2cm*3cm and 2cm*2cm.

The 3 invisible walls are each identical to the parallell walls.

The surface area is

2 * (2cm*3cm + 2cm*3cm + 2cm*2cm) = 2 * (6cm^2 + 6cm^2 + 4cm^2) = 2 * 16cm^2 = 32cm^2

Answer:

y=3x+5

Step-by-step explanation:

its right. i put it on my quiz and got it correct.

An equation of the line that passes through the point (-4,-7) and is parallel to the line 3x - y = 4 is y = 3x + 5.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

We know lines parallel to each other have the same slope.

∴ Line parallel to 3x - y = 4 Or - y = - 3x + 4 Or y = 3x - 4 will have a

slope of 3 passing through the point (-4, - 7).

∴ - 7 = 3(-4) + b.

- 7 = - 12 + b.

b = 5.

∴ y = 3x + 5.

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First, isolate the y term on one side of the equation.

-For the first equation: 4x + y = 4

Subtract 4x from both sides of the equation to isolate the y term:

4x + y - 4x = 4 - 4x

y = 4 - 4x

-For the second equation: -6x - 30 + y = -6

Add 6x to both sides of the equation to isolate the y term:

-6x - 30 + y + 6x = -6 + 6x

y = -6 + 6x

Now, set the equations equal to each other to solve for x:

4 - 4x = -6 + 6x

Combine like terms to isolate the x term:

-10x = -10

Divide both sides by -10 to solve for x:

x = 1

Now plug x back into either equation to solve for y:

4 - 4(1) = 4 - 4

y = 0

When a $189 is decreased by  38%, the result is $117.18.

Percentage is defined as the proportion of a whole as a fraction of 100. It is most commonly used to compare quantities.

38%  can be written as 0.38 in decimals.

New Value = Original Value - (Original Value \(\times\) Percentage)

Given that:

Original Value = $189

Percentage = 38%

New Value = Original Value - (Original Value * Percentage)

Substitute the given value in the given formula:

New Value = $189 - ($189 \(\times\) 0.38)

New Value  = $189 - $71.82

                       = $117.18

The result is $117.18 when rounding to two decimal places.

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Answer:

a 5 dollar bill, 1 dollar bill, and 2 quarters or a 50 cent coin

Answer:

30

Step-by-step explanation:

Answer:

33.333%

Step-by-step explanation:

a 6 sided die has the number 1,2,3,4,5,6. 2 are less than three so the chances of getting the of getting a number less than 3 is 2/6, simplified 1/3.

Answer:

m∠5 = 77

Step-by-step explanation:

∠3 & ∠ 5 are the co interior angles in the same side of the transversal

∠3 + ∠5 = 180 {sum of co interior angles is 180}

3x + 4 + 2x +11 = 180  {Add like terms}

5x + 15 = 180

Subtract 15 from both sides

5x + 15 - 15 = 180 -15

5x = 165

Divide both side by 5

5x/5 = 165/5

x = 33°

m∠5 = 2x + 11 = 2*33 + 11

        = 66 + 11

       = 77

Answer:

m∠3 is (3x + 4)° and m∠5 is (2x + 11)°.

Angles 3 and 5 are "same side interior angles"

The equation "(3x + 4) + (2x + 11) = 180" can be used to solve for x.

m∠5 = "77°"

Step-by-step explanation:

Answer:

Now, as you might recall, two lines are parallel when they are always the same distance apart and never intersect. y= -8 is parallel to y=3 and it passes through the point (-2, -8). The equation of this line is y= -8.

Step-by-step explanation:

A(n) example is a specific case that is utilized to illustrate a broader concept, and it can take the form of factual occurrences, hypothetical scenarios, or personal experiences.

Examples operate as concrete proof that makes it easier to understand and put into practice abstract ideas. They offer concrete or fictitious examples that exemplify a broad topic, making it more straightforward for others to understand and relate to the underlying notion.

Examples make complex theories or concepts more understandable and relatable, promoting effective communication and improved comprehension across various subjects and disciplines.

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The coefficient of the given term \(x^7\) in the given binomial expansion of \((2x + 3)^{10}\), is 138,240.

The coefficient of the term \(x^7\) in the expansion of \((2x + 3)^{10}\) can be found using the binomial theorem.

The coefficient is calculated by applying the combination formula and multiplying the appropriate terms.

The binomial theorem allows us to expand expressions of the form (a + b)^n, where a and b are constants and n is a positive integer.

The expansion gives us a sum of terms, each with a coefficient and a power of a and b.

In this case, we have (2x + 3)^10. To find the coefficient of \(x^7\), we need to determine the term that contains \(x^7\) and calculate its coefficient.

According to the binomial theorem, the term that contains \(x^7\) is given by the combination formula: C(10, k) * (2x)^(10-k) * (3^k), where k is the power of (2x) in the term.

In this case, we want to find the term with \(x^7\), so we set k = 3.

Using the combination formula, C(10, 3) = 10! / (3! * (10-3)!) = 120.

The term also includes (2x)^(10-3) = (2x)^7 and (3^3) = 27.

Multiplying these values together, we get the coefficient of \(x^7\): 120 * (2^7) * (27).

Simplifying the expression gives us 138,240.

Therefore, the coefficient of the term \(x^7\) in the expansion of \((2x + 3)^{10}\) is 138,240.

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True. In 2016, the percentage of the ageing population (55 years or older) in state prisons surpassed the percentage of people aged 18-24 for the first time.

This trend reflects the overall growth of the ageing population within the United States and is a result of various factors such as longer life expectancy, harsher sentencing laws, and an increase in older individuals being convicted of crimes.
As the ageing population in state prisons continues to grow, it poses several challenges for the correctional system. These challenges include providing appropriate healthcare and accommodations for older inmates and addressing the specific needs of this population, such as mobility assistance and specialized medical care.
In conclusion, the shift in the age demographics of state prisons has significant implications for the management and administration of correctional facilities. It is crucial to address the unique needs of the ageing population within these institutions and adapt policies and practices accordingly to ensure the well-being and fair treatment of all inmates, regardless of their age.

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Answer:

Step-by-step explanation:

Let's actually solve the equation.  By doing so we should readily see which of the given equatins are not part of the solution.

7x - 8 - 5x = 52 becomes 2x - 8 = 52 if we consolidate the x terms.  Next, we consolidate the constant terms on the right, obtaining 2x = 60.

Then x = 30 is the solution.

12x = 60 would not be part of the solution.

12x = 44 would not either.

12x - 8 = 52 would not either.

x = 5 would not be part of the solution.

Again:  The solution is x = 30.

Answer:

the answer is 8

Step-by-step explanation:

the first step is to work whats in the brackets then you get 4.8 then you divide 4.8 into 0.6 and ur answer should be 8

The maximum interest rate that can be charged during the fifth year is 6.75%. The correct option is the third option c. 6.75%

From the question, we are to determine the maximum interest rate that can be charged during the fifth year

A 2/1 ARM means that the interest rate is fixed for the first two years and then adjusts annually based on a specified index plus a margin. The "2/10 cap" means that the interest rate can only increase or decrease by a maximum of 2 percentage points each year, and can never be more than 10 percentage points higher than the initial rate.

Since the initial rate is 2.75%, the maximum rate that can be charged during the fifth year is:

2.75% + (2 x 2%) = 6.75%

Hence, the maximum interest rate that can be charged during the fifth year is 6.75%.

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The frequency of A allele after a single generation of mutation can be found as follows: Frequency of A allele after a single generationp(A) = p(A) x (1 - m) + q(a) x m

where,
m = mutation rate = 10^-6p(A) = frequency of A allele in initial generation = 0.75q(a) = frequency of a allele in initial generation = 0.25Thus,p(A) = 0.75 x (1 - 10^-6) + 0.25 x 10^-6 = 0.74999925

And the frequency of a allele will beq(a) = 1 - p(A) = 1 - 0.74999925 = 0.25000075

Therefore, the frequency of the A and a alleles in the next generation will beA: 0.74999925 and a: 0.25000075.

This is option D.

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a) Relative rate of change = 8/t

b) Relative rate of change at t = 1

c) Relative rate of change = -2t

d) Relative rate of change at t = -28

A more detailed explanation of the answer.

(a) To find the relative rate of change for the function f(t) = t⁸, we first need to find the derivative of f(t) with respect to t.

f'(t) = 8t⁷

The relative rate of change is the ratio of the derivative to the function itself, which is:

Relative rate of change = f'(t) / f(t) = (8t⁷) / (t⁸) = 8/t

(b) To evaluate the relative rate of change at t = 3, we simply substitute t = 3 into the relative rate of change expression:

Relative rate of change at t = 3 = 8/3

To evaluate the relative rate of change at t = 8, we substitute t = 8:

Relative rate of change at t = 8 = 8/8 = 1

Now, consider the function f(t) = e power (-t²).

(a) To find the relative rate of change, we first need to find the derivative of f(t) with respect to t.

f'(t) = -2te power (-t²)

The relative rate of change is the ratio of the derivative to the function itself:

Relative rate of change = f'(t) / f(t) = (-2te power (-t²)) / (e power (-t²)) = -2t

(b) To evaluate the relative rate of change at t = 14, we substitute t = 14 into the relative rate of change expression:

Relative rate of change at t = 14 = -2(14) = -28

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Answer:

A

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

I got it right on plato

Answer:

Amount earned in 1 hour = $9

In one week Micheal works = 28 hours

So, in one week she gets $9 * 28

=> $252

Hence, she would earn $252 in one week, in Six weeks she will get,

=> $252 * 6 = $1512

If my answer helped, kindly mark me as the brainliest!

Thank You!!

One possible set of three equations that are all true and different for 1 2/3 is (5/3) + (1/3) = (8/3), (4/3) + (2/3) = (2), and (10/6) + (1/6) = (11/6).

Each of these equations represents a different way of expressing the same value of 1 2/3, which is equal to 5/3 or 1.6666... when expressed as a decimal.

Overall, these equations demonstrate the flexibility and versatility of mathematical expressions and show how different values can be represented in multiple ways through simple operations like addition and division.

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Answer:

\(x=3\)

Step-by-step explanation:

Because this line is parallel to the y-axis, it is a vertical line. This is a special case where the formatting of its equation is different:

\(x=d\) where d is the x-intercept, or the value of x when the line crosses the x-axis

We're given that the line passes through the point (3,-5). Because this is a vertical line, the x-coordinates of the points it passes through will always stay the same. Therefore, the x-intercept (d) is 3.

\(x=3\)

I hope this helps!

To find the interval of convergence of the power series ∑n=1∞ (2x+5)^n/n3^n, we will use the ratio test:
lim┬(n→∞)⁡|(2x+5)^(n+1)/(n+1)3^(n+1)|/|(2x+5)^n/n3^n)|
= lim┬(n→∞)⁡|(2x+5)/(n+1)(3/2)| = 0
Thus, the interval of convergence for the given power series is (-3, -2).

Since the limit is less than 1 for all values of x, the series converges for all x. Therefore, the interval of convergence is (-∞, ∞).
The interval of convergence for the given power series ∑(2x+5)^n/(n*3^n) can be found using the Ratio Test.

First, we'll find the limit as n approaches infinity:
L = lim (n → ∞) |((2x+5)^(n+1))/((n+1)*3^(n+1)) * (n*3^n)/((2x+5)^n)|

This simplifies to:
L = lim (n → ∞) |(2x+5)(n*3^n)/(n+1)*3^(n+1)|

Cancel the common terms:
L = lim (n → ∞) |(2x+5)n/(n+1)|

For the series to converge, we need L < 1:
|(2x+5)n/(n+1)| < 1

Since we're interested in the interval of convergence, we can ignore the n term:
|2x+5| < 1

Now solve for x:
-1 < 2x+5 < 1
-6 < 2x < -4
-3 < x < -2

Thus, the interval of convergence for the given power series is (-3, -2).

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