(ii) Using a calculator, or otherwise, determine the exact value, to one decimal place, of 8792-6886 12 X 9 ​

Answer:

the 2nd one is wrong

Step-by-step explanation:

The best estimate for 225% of 50 is (a) greater than O but less than 1. 50

The maximum likelihood method will be used to calculate the point estimate as follows:

T, note the total number of trials.

List the number of accomplishments, S.

MLE = S / T should be used. Your point estimate is the outcome. Prior to explaining a "formal" method of approximation by rounding each number in the calculation to one significant figure, students must first estimate the result of a computation, use a calculator to determine the precise result, then compare the two results. The most accurate estimate is a definite estimate, as it is created by estimating the individual expenses for the various aspects of the project and then combining them into one estimate. Typically, bottom-up estimates are classified under this heading.

The best estimate for 225% of 50 is

= (225*50)/100

= 11250/100

= 112.5

So that, The best estimate for 225% of 50 is (a) greater than O but less than 1. 50

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The perimeter of triangle UVW is 69.5 units.

The perimeter of triangle UVW is calculated as follows;

Perimeter = UW + VW + UV

The length of UV is calculated by applying congruency theorem as follows;

UV/VW = RS/ST

UV/24 = 102/96

UV = 24 (102/96)

UV = 25.5

The perimeter is calculated as follows;

P = UW + VW + UV

P = 24 + 20 + 25.5

P = 69.5 units

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Answer:

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

The significant digits include all non-zero numbers (8 and 9) and the zeros between them (the five zeros).

Hence it has 8 significant digits.

There are nine significant digits in 80,000,089.

In the number 80,000,089, there are nine significant digits. Significant digits are the digits in a number that carry meaning or contribute to its precision. They do not include leading or trailing zeros that serve as placeholders.

In this case, the significant digits are "8," "0," "0," "0," "0," "0," "8," and "9." Each of these digits contributes to the value and precision of the number. The leading "8" is significant as it represents the tens of millions place, while the trailing "9" represents the units place.

Zeros that appear between nonzero digits, as in "80,000,089," are considered significant because they indicate the magnitude of the number.

However, zeros that appear before the first nonzero digit, such as in "000,000,089," are not considered significant since they only serve as placeholders and do not affect the value or precision of the number.

Therefore, in the number 80,000,089, there are nine significant digits.

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The function that represents the total charge for renting a truck for a certain number of hours is c(h) = $90 + $20(h) and the value of the function for an input of 5, is $190 and this represents the total charge for a rental of 5 hours.

Given,

A truck rental company charges $90 plus $20 per hour.

Here we need to  identify a function that represents the total charge for renting a truck for a certain number of hours. And we also need to find the value of the function for an input of 5.

The problem statement tells you the total charge is the sum of $90 and a charge of $20 per hour. That is, for h hours, the total charge is ...

c = 90 + 20h

In functional form, this is

c(h) = 90 +20(h) . . . . . . total charger for a rental of h hours

The function value with an input of 5 is ...

c(5) = 90 +20(5)

c(5) = 90 + 100

c(5) = 290

Since the input is the number of hours of rental, and the function value is the total charge, this represents the total charge for a rental of 5 hours.

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Answer:

f(h)=90+20h

$190

Step-by-step explanation:

Answer:

the answer is

a=49

b=10

c=105

Hello!

Answer:

x=4.2

Step-by-step explanation:

first, you want to add 1.2 to both sides

x-1.2+1.2=3+1.2

=x=4.2

= x=4.2 :)

Hope this helps!

The smaller number is -17, and the quadratic equation that can be used to find it is\(x^2 + x - 272 = 0.\)

The correct answer would be \(x^2 + x - 272 = 0.\)

To find the quadratic equation that can be used to find the smaller number, we can set up the equation using the given information. Let's assume that the smaller number is x.

Since the product of two consecutive integers is 272, we can express this as an equation: x(x + 1) = 272.

Expanding the equation, we have:

\(x^2 + x = 272.\)

To find the quadratic equation, we need to rearrange the equation in the standard form, which is\(ax^2 + bx + c = 0\). In this case, we have:

\(x^2 + x - 272 = 0.\)

Therefore, the correct quadratic equation that can be used to find the smaller number is\(x^2 + x - 272 = 0.\)

This equation can be solved by factoring, completing the square, or using the quadratic formula. Factoring may not be straightforward in this case since 272 does not have obvious factors, so let's use the quadratic formula to find the solutions.

The quadratic formula states that for an equation of the form \(ax^2 + bx + c = 0\), the solutions for x can be found using the formula:

x = (-b ± √\(\sqrt{(b^2 - 4ac)}\)) / (2a).

For the equation\(x^2 + x - 272 = 0,\)we have a = 1, b = 1, and c = -272. Substituting these values into the quadratic formula, we get:

x = (-(1) ± \(\sqrt{((1)^2 - 4(1)(-272))) / (2(1)).}\)

Simplifying further, we have:

x = (-1 ±\(\sqrt{ (1 + 1088)) / 2.}\)

x = (-1 ± \(\sqrt{1089)}\) / 2.

Since we are looking for the smaller number, we take the negative square root:

x = (-1 -\(\sqrt{ 1089}\)) / 2

Calculating the value, we have:

x = (-1 - 33) / 2.

x = -34 / 2.

x = -17.

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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.

It illustrates a line equation in the XY plane whose equation is represented by x=y when x and y really aren't negative.

Using the equal symbol (=) to indicate equivalence, a mathematical equation is a formula that joins two statements. An equation in algebra is a statement of mathematics proving the equality of two mathematical equations. In the formula 3x + 5 = 14, for example, the equal sign places the variables 3x + 5 & 14 apart. The relationship between two words on either side of such a letter is described by a mathematical formula. A single variable, which also serves as the symbol, is frequently present. like in 2x - 4 Equals 2, for instance.

The line passing thru the origins and having an equal tangent is known as an equation of the form =. A line's equation is, in general, an equation with the formula = °.

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hope this answer helps you dear....may u have a great day ahead! take care!

Answer:

a=5 and b=9

Step-by-step explanation:

(x, y) = (s, t) => x=s and y=t

Hence, a+3=b-1 and b-2=2a-3, solving we get a=5 and b=9

Answer:

228

Explain your answer:

Answer:

A = 228 ft²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = \(\frac{1}{2}\) h (b₁ + b₂ )

where h is the height and b₁, b₂ the parallel bases

here h = 12 and b₁ = 14, b₂ = 24 , then

A = \(\frac{1}{2}\) × 12 × (14 + 24) = 6 × 38 = 228 ft²

Polynomials form a system like to that of integers hence they are closed under the operations of addition and subtraction.

Exponents of polynomials are whole numbers.

Hence the resultant exponents will be whole numbers , addition is closed for whole numbers. As a result, polynomials are closed under addition.

If an operation results in the production of another polynomial, the resulting polynomials will be closed.

The outcome of subtracting two polynomials is a polynomial. They are also closed under subtraction as a result.

The word polynomial is a Greek word. We can refer to a polynomial as having many terms because poly means many and nominal means terms. This article will teach us about polynomial expressions, polynomial types, polynomial degrees, and polynomial properties.

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Answer:

y - 3 = 2(x + 1)

Step-by-step explanation:

First, use rise over run to find the slope

(y2 - y1) / (x2 - x1)

(3 + 7) / (-1 + 6)

10 / 5

= 2

Now, plug in the slope and a point into the point slope formula:

y - y1 = m(x - x1)

y - 3 = 2(x + 1)

So, the equation in point slope form is y - 3 = 2(x + 1)

Answer:

B Description is in the picture

Answer:

\(2^2*3^2\)

Step-by-step explanation:

By definition of a negative exponent: \((\frac{a}{b})^{-x}=(\frac{b}{a})^x=\frac{b^x}{a^x}\)

In the last step I simply distributed the exponent, but this actually goes both ways! So we can do: \(\frac{b^x}{a^x}\implies(\frac{b}{a})^x\)

The next thing you need to know is that: \((ab)^x=a^x*b^x\)

and like the previous statement, it works both ways! So this means: \(a^x*b^x\implies (ab)^x\)

So the denominator of the expression given can be expressed as:

\((2^{-2}*3^{-2})\implies (2*3)^{-2}\)

Lastly you need to understand: \(1^x\) just simplifies to one, because \(1*1*1*1...\text{ x amount of times}\) will stay equal to one. So we can thing of 1 as being raised to some number, even if not explicitly stated.

This helps because we can write one as: \(1^{-2}\)

so now we have the expression:
\(\frac{1^{-2}}{(3*2)^{-2}}\)

Well this can because now we can "factor" out this exponent just like how it was demonstrated in the beginning

We get the expression: \((\frac{1}{3*2})^{-2}\)

Now we use the definition of a negative exponent, to get the reciprocal giving us the expression

\((\frac{3*2}{1})^{2}\)

We can now "distribute" this exponent across the division to get

\(\frac{(3*2)^2}{1^2}\)

Well 1 squared just simplifies to 1, so it's redundant to write.

This gives us the expression:
\((3*2)^2\)

and as stated before we can distribute this across multiplication, and another way to think of it is:

\((3*2)^2\implies (3^2*2^2)\\\\\\text{because } (3*2)^2\implies (3*2)*(3*2)\implies(3*3)*(2*2)\)

we're just grouping the like terms, so we can write them as an exponent.

So this gives us our final expression:
\(3^2*2^2\)

or

\(2^2*3^2\)

which is the option B, since the order in which we multiply does not matter.

Answer:

32 and 25

Step-by-step explanation:

The value of annual sales in 9 years is  $309,845.72.

In order to determine the annual sales of the company in 9 years, the formula to be used is:

FV = P (1 + r)^n

Where:

$155,000 x (1.08)^9 = $309,845.72

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21 percentage of four-digit integers above 5000 have a thousands digit that is equal to the sum of the other three digits.

Given that,

We have to find what percentage of four-digit integers above 5000 have a thousands digit that is equal to the sum of the other three digits.

We know that,

The other three numerals must add up to 5 because the first digit is 5.

The other two digits must add up to 5 if the second digit is 0, thus they

are 0+5, 1+4, or 2+3 or their reverses 5+0, 4+1, and 3+2, that 6

The last two numbers must add up to 4 if the second digit is 1, thus they

are 0+4, 1+3, or 2+2.  There are five more since the first two are reversed.

The last two digits must add up to 3 if the second digit is 2, thus they

are 0+3 and 1+2, and their reverses, so that's 4 more.

If the second digit is 3, the last two digits must sum to 2, so they

are 0+2 and 1+1 and the reverse of the first, so that's 3 more.

The last two digits must add up to 1, so if the second digit is 4, they must.

are 0+1 and its reverse, so that's 2 more

If the second digit is 5, the last two digits must sum to 0, so they

are 0+0, so that's 1 more.

Total = 6+5+4+3+2+1 = 21.

Therefore, 21 percentage of four-digit integers above 5000 have a thousands digit that is equal to the sum of the other three digits.

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As per the given 4 x 5 matrix, the reduced row echelon form of A is \(\left[\begin{array}{ccc}1&2&0\\0&0&1\\0&0&0\end{array}\right]\)

The term matrix in math refers a set of numbers arranged in rows and columns so as to form a rectangular array.

Here we have the 4 x 5 matrix.

And here we also know that a1,a2,a4 are linearly independent and the value of a3=a1+2a² and a5=2a1-a²+3a⁴.

Now, we have to apply the value of

a1 = 1, a2 = 0, a3 = 0, a4 = 0, a5 = 1, a6 = 0, a7 = 0, a8 = 0, and a9 = 1.

Then we get the matrix of 3 x 3 looks like the following,

\(\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]\)

Now, we have to do the following steps in order to get the reduced row echelon form of A,

The first and foremost steps is to take the non-zero number in the first row is the number 1.

Then we have to place any non-zero rows are placed at the bottom of the matrix.

This steps are repeated until the final row becomes zero.

Then we get the resulting matrix as \(\left[\begin{array}{ccc}1&2&0\\0&0&1\\0&0&0\end{array}\right]\)

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Answer:

he gained 22 poke balls

Step-by-step explanation:

hope this help you

Answer:

Did Dustin stop at 2 Poke stops?

Step-by-step explanation:

If he stopped at only 2, then he gathered a total of 11 from each stop. If he stopped at more then, that information would be necessary in order to solve the question.

The following statements are true:

Line m is perpendicular to both line p and line q.

AD is not equal to BC.

To determine the truth of these statements, we can analyze the given information.

In the diagram, it is shown that line m is parallel to line n and both lines are perpendicular to plane R, and perpendicular to plane R.

However, only line m is stated to be perpendicular to plane S.

Based on diagram, we can conclude that statement 1 is true: Line m is perpendicular to both line p and line q.

AD is not equal to BC. This suggests that plane R is not parallel to plane S, hence the reason why only line m is perpendicular to plane S

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Applying the linear angles theorem, the measures of the larger angles are: 130 degrees.

The measures of the smaller angles are 50 degrees

Based on the linear angles theorem, we have the following equation which we will use to find the value of y:

3y + 11 + 10y = 180

Add like terms

13y + 11 = 180

Subtract 11 from both sides

13y + 11 - 11 = 180 - 11

13y = 169

13y/13 = 169/13

y = 13

Plug in the value of y

3y + 11 = 3(13) + 11 = 50 degrees

10y = 10(13) = 130 degrees.

Therefore, applying the linear angles theorem, the measures of the larger angles are: 130 degrees.

The measures of the smaller angles are 50 degrees.

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Answer:

(2, -10)

Explanation:

Reflection over the x-axis puts a negative sign on the x value.

Answer:

-2,10

Step-by-step explanation: i took the test and when doing this you only change the y  but keep the x.

Answer:

You could get a ruler or measuring stick and measure each side.

There is no guarantee that you can even make a square, since all sides have to be equal though.

Step-by-step explanation:

Step-by-step explanation:

g(-2)=2(-2)^2 +7(-2) -4

=8 -14 -4

= -10.

j(20)= -5-4(20)

=-5-80

= -85

We can iterate through the array and compute the cumulative sum to see if there is a place in a non-empty array where the sum of the integers on one side equals the sum on the other.

To record the sum on each side, we cumulative two variables, leftSum and rightSum. RightSum is initially set to the total of the array's elements. After that, we compare the values of leftSum and rightSum and deduct each element in the array from . We return true if they are equal. After the loop, if such a location cannot be located, we return false. The temporal complexity of this approach is O(n), where n is the length of the array.

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Answer:

18√2

Step-by-step explanation:

2√3 x 3√6

2 x 3 x (√6 x √3)

=> 6√18

=> 6√(3x3x2)

=> 6 x 3√2

=> 18√2

Answer:

C. 71.43 seconds

Step-by-step explanation:

Given data

Distance= 38.5m

time= 22 seconds

speed= 38.5/22

speed= 1.75 m/s

given that distance =  125meters

t= 125/1.75

t= 71.4 seconds

The inequality expression in algebraic notation is x/3 ≤ 5

From the question, we have the following parameters that can be used in our computation:

the quotient of x and 3 is less than or equal to 5

Represent the number with x

So the statement can be rewritten as follows:

the quotient of x and 3 is less than or equal to 5

The quotient of x and 3 means x/3

So, we have

x/3  is less than or equal to 5

less than or equal to 5 means ≤5

So, we have

x/3 ≤ 5

Hence, the expression in algebraic notation is x/3 ≤ 5

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